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Werner Karl Heisenberg
1901 - 1976

German physicist Werner Karl Heisenberg was a pioneer in the
formalization of atomic theory. He won the 1932 Nobel Prize in
physics for his discovery of the uncertainty principle, which
states that it is impossible to specify the precise position and
momentum of a particle at the same time. Heisenberg also
developed the theory of matrix mechanics. During World War II he
was director of the German atomic bomb project, which led to his
brief imprisonment following the war and some controversy during
the remainder of his career.
Werner
Karl Heisenberg was born on December 5, 1901, in Würzburg,
Germany, the son of August and Annie Wecklein Heisenberg. He
received his education at the Maximilian Gymnasium in Munich and
at the University of Munich, where his father was professor of
Greek language and literature. Shortly before he began his
university studies, he worked on a farm for several months and
took active part in youth movements, searching for a way out of
the social collapse that hit Germany at the end of World War I.
Heisenberg was also a talented pianist, an avid hiker, and an
eager student of classical literature and philosophy. At the
university, where he enrolled in 1920, Heisenberg soon
established close contact with Arthur Sommerfeld, a chief figure
in early modern physics, and with Sommerfeld's most outstanding
student, Wolfgang Pauli, later a Nobel laureate. Heisenberg
spent the winter of 1922-1923 at the University of Gettingen,
where the physics department was rapidly establishing itself,
with the help of Max Born, James Franck, and David Hilbert, as a
center of theoretical physics. After taking his doctorate in
Munich in 1923, Heisenberg went on a Rockefeller grant to Niels
Bohr's institute in Copenhagen, where he eagerly studied the
most creative and up-to-date speculations on atomic theory.
His Landmark Papers
The fusion of the influence of these mentors with the
receptiveness of a most talented mind worked unusually well. No
sooner had Heisenberg completed his stay in Copenhagen than he
worked out, while recuperating on the shores of Helgoland from a
heavy attack of hay fever, a comprehensive method of calculating
the energy levels of "atomic oscillators." The method yielded
very good results but appeared so strange that Heisenberg was
undecided whether to submit his report for publication or "to
throw it into the flames." Happily for science, he sent a copy
of it to Pauli and, after receiving a favorable reply, he showed
it to Born on his return to Gettingen in June 1925. Born
realized its importance and had it sent to the Physikalische
Zeitschrift, where it was immediately printed under the title,
"On Quantum Mechanical Interpretation of Kinematic and
Mechanical Relations." The person most preoccupied with the
"strange" mathematical formalism in Heisenberg's paper was Born
himself, who after eight days of constant reflection discovered
that it corresponded to the rules of matrix calculus.
Heisenberg's paper earned its author immediate fame and
recognition. At Bohr's recommendation, in 1926 he was appointed
lecturer in theoretical physics at the University of Copenhagen.
It was there that Heisenberg gave much thought to the apparent
discrepancy between two formulations of quantum theory, one
based on matrix calculus, the other on wave equations elaborated
by Erwin Schroedinger. In the course of his work on this
question, Heisenberg realized that only those physical
situations are "meaningful" in quantum mechanics in which the
differences of the noncommutative products of conjugate
variables occur. He immediately saw that, because of these
differences, one cannot determine simultaneously the position
and velocity of an atomic particle or the energy level and its
timing of an atomic oscillator.
The recognition of this fact led Heisenberg to the formulation
of the famous uncertainty principle, which appeared in 1927 on
the pages of the Physikalische Zeitschrift in an article
entitled, "On the Visualizable Content of Quantum Theoretical
Kinematics and Mechanics." Heisenberg's The Physical Principles
of the Quantum Theory (1930) also is considered a classic in
this field. Heisenberg's rise was now as rapid in the academic
as in the scientific world. In 1927, at the age of 26, he became
professor of theoretical physics at the University of Leipzig.
He was the recipient, along with Schroedinger and Paul Dirac, of
the Nobel Prize for physics for 1932. In 1941 he took the chair
of theoretical physics at the University of Berlin and the
directorship of the Kaiser Wilhelm Institute for Physics. During
this flurry of academic activity, in 1937 he married Elisabeth
Schumacher, and they had seven children.
Questionable Role in War
As a theoretical scientist, Heisenberg was initially held in low
regard and even considered suspect by the Nazi government.
However, when World War II began, the government appointed him
as director of the German uranium project, and he worked on
developing an atomic bomb for Germany throughout the war.
Heisenberg was arrested and placed in Allied captivity in
England from April 1945 until the summer of 1946. His role
during the war continues to be a source of controversy.
Later Career
After World War II Heisenberg did much to reorganize scientific
research as head of the Max Planck Institute of Physics and of
the Alexander von Humboldt Foundation. In the early 1950s
Heisenberg turned with great vigor toward the formulation of a
"unified theory of fundamental particles," stressing the role of
symmetry principles. This theory was intensively discussed at an
international conference in 1958, the year he moved to the
University of Munich as professor of physics. He presented his
thought on this subject in Introduction to the Unified Field
Theory of Elementary Particles (1966).
In 1955-1956 Heisenberg gave the Gifford Lectures at the
University of St. Andrews, Scotland, which were printed under
the title Physics and Philosophy: The Revolution in Modern
Science. He also published the autobiographical Physics and
Beyond (1971) and several books dealing with the philosophical
and cultural implications of atomic and nuclear physics, all of
which are available in English translation.
Heisenberg retired in 1970, although he continued to write on a
variety of topics. His health began to fail in 1973, and shortly
thereafter he became seriously ill. He died on February 1, 1976
in Munich.
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Werner Heisenberg's high school years were interrupted by World
War I, when he had to leave school to help harvest crops in
Bavaria. Back in Munich after the war, he volunteered as a
messenger for democratic socialist forces that fought and ousted
the communist government that had taken control of the Bavarian
state. He was involved in youth groups trying to rebuild German
society out of the ashes of World War I, including the "New Boy
Scouts" which hoped to renew German life through direct
experience of nature, Romantic poetry, music, and thought.
An unusual start for a great contributor to twentieth-century
physics. In 1920 he entered the University of Munich to pursue a
degree in math. But the math professor wouldn't allow him into
an advanced seminar, so he quit. He transferred to physics. He
immediately took an interest in theoretical physicists, and soon
met many scientists whose work would dominate the coming
decades, including Niels Bohr, Wolfgang Pauli, Max Born, and
Enrico Fermi. One of his chief interests was working out
problems involved in the Bohr-Rutherford model of the atom. He
just barely received his PhD in 1923 -- nearly failing because
he had neglected his laboratory work. His advisor argued on his
behalf and he was granted the degree. He became a professor at
the University of Gottingen at age 22. Because he suffered from
severe seasonal allergies, during pollen season he left Bavaria
for the island of Heligoland. While there he had time to think
and work out problems with the atomic model. He realized the
limitations of visual models and suggested working strictly with
experimental data and mathematical results. To do this he
applied a mathematical system to atomic physics, called matrix
mechanics. It was a turning point for physics. Many in the field
disliked it because it didn't provide a physical model to relate
to. Erwin Schrödinger came up with the theory of wave mechanics
about a year later. Those uncomfortable with Heisenberg's system
jumped on the wave mechanics side. The conflict between the
theories was resolved when Schrödinger proved that they were, in
fact, identical.
In 1926 Heisenberg joined Bohr at the Institute for Theoretical
Physics in Copenhagen. This turned out to be one of the most
productive periods in Heisenberg's life. In 1927 he was puzzling
over the basic quantum properties of electrons. He realized that
the act of measuring an electron's properties by hitting it with
gamma rays would alter the electron's behavior. Indeed, you
could measure the position of an electron (or other particle) OR
you could measure its momentum. But the more precisely you
measure one property, the more you throw the other off. He tied
this up in an equation using Planck's constant, and called it
the uncertainty principle. While many resisted this idea, it
eventually became accepted as a fundamental law of nature.
Later in 1927 Heisenberg returned to Germany and became the
youngest full professor in the country. Professorship entailed a
full plate of teaching and administrative duties, and his
scientific output naturally dwindled. With the political turmoil
in Germany and World War II, Heisenberg's life became
complicated. There was a mass exodus of German scientists in the
1930s, but Heisenberg was one of the few top-notch scientists
who decided to remain. Along with Max Planck, he expressed hope
of being able to preserve Germany's scientific traditions and
institutions. At first he and others tried to resist Hitler's
efforts to "purify" science and academics, but soon the Nazis
controlled the universities. His own position was shaky since
the Nazis viewed theoretical physics as "Jewish" and suspect.
Efforts to promote him met with violent opposition from
political leaders and even some colleagues. There were times his
personal safety was uncertain.
But as the war began the government recognized, suspect or not,
the importance of Heisenberg's knowledge. He was made director
of the German atom bomb project. He spent five years working on
it.
At war's end, Heisenberg was captured by the Allies and was
imprisoned in England for six months. He was released and
returned to Germany where he reestablished the Kaiser Wilhelm
Institute for Physics, but renamed it the Max Planck Institute,
in honor of his friend and colleague. He held many
administrative posts in West Germany and represented his country
at international meetings. He retired in 1970, and died in 1976
survived by his wife of 39 years and seven children.
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Werner Heisenberg's father was August Heisenberg and his mother
was Anna Wecklein. At the time that Werner was born his father
was about to progress from being a school teacher of classical
languages to being appointed as a Privatdozent at the University
of Würzburg. Anna's father, Nikolaus Wecklein, was the
headmaster of the Maximilians Gymnasium in Munich and it was
while August Heisenberg was a trainee teacher at that school
that he had met Anna. August and Anna were married in May 1899.
Werner had an older brother Erwin, born in March 1900, who was
therefore nearly two years older than the subject of this
biography.
He was an Evangelical Lutheran and his wife Anna had converted
from being a Roman Catholic to make sure there were no religious
problems with their marriage. August and Anna, however, were
only religious for the sake of convention. A Christian belief
was expected of people of their status so for them it was a
social necessity. In private, however, they expressed their lack
of religious beliefs, and in particular they brought up their
children to follow Christian ethics but showed total disbelief
in the historical side of Christianity.
In September 1906, shortly before his fifth birthday, Werner
enrolled in a primary school in Würzburg. He spent three years
at that school but then in 1909 his father was appointed
Professor of Middle and Modern Greek at the University of
Munich. In June 1910, a few months after his father took up the
professorship, Werner and the rest of the family moved to
Munich. There he attended the Elisabethenschule from September,
spending only one year at this school before entering the
Maximilians Gymnasium in Munich. This of course was the school
where his grandfather was the headmaster.
In 1914 World War I began and the Gymnasium was occupied by
troops. Lessons were arranged in different buildings and as a
result of the disruption Heisenberg undertook much independent
study which probably had a beneficial effect on his education.
His best subjects were mathematics, physics and religion but his
record throughout his school career was excellent all round. In
fact his mathematical abilities were such that in 1917 he
tutored a family friend who was at university in calculus.
During this period he belonged to a paramilitary organisation
which operated in the Gymnasium with the intention of preparing
the young men for later military service.
Heisenberg also worked on farms as his contribution to another
voluntary organisation which sent the boys to help in the fields
in spring and summer. This work took him away from home for the
first time in 1918 when he was sent to work on a dairy farm in
Upper Bavaria. It was a time of great hardship with long hours
of labour made worse since there was insufficient food. He spent
his spare time playing chess, which he did to a very high
standard, and also read mathematics texts he had taken with him.
In fact by this time he had become interested in number theory
and he read Kronecker's work and tried to find a proof of
Fermat's Last Theorem.
After the war ended in 1918 the situation in Germany became
unstable with different factions trying to take power by force.
Heisenberg took part in the military suppression of the Bavarian
Soviet forces but, although it was a very serious business, the
young men probably treated it almost as a game. He later wrote:-
"I was a boy of 17 and I considered it a kind of adventure. It
was like playing cops and robbers."
In the Gymnasium Heisenberg led a youth movement and he later
led a movement within the Young Bavarian League. In 1920 he took
his Abitur examination and was one of two pupils entered from
the Maximilians Gymnasium for a Bavarian wide competition for a
scholarship from the Maximilianeum Foundation. Eleven
scholarships were available and Heisenberg just made it by
coming in eleventh place. His examination results in mathematics
and physics were classed as extraordinary, but his essay on
"tragedy as poetic art" was much less impressive. He declined
the offer of free accommodation from the Foundation, preferring
to live with his parents.
In the period between taking his Abitur examination and entering
the University of Munich, Heisenberg went off hiking with his
youth group. He nearly died of typhoid which he contracted after
spending the night in a castle which had been used as a military
hospital. He recovered, despite the problems of obtaining
suitable food, in time to begin his university studies. During
the summer of 1920 Heisenberg was, as he had been for some time,
intending to study pure mathematics at university. He had read
Weyl and also Bachmann's text which gave a complete survey of
number theory and this was to be his intended research topic for
his doctorate. He approached Ferdinand von Lindemann to see if
he would be his research supervisor.
Had the interview with Lindemann been a success then Heisenberg
might today be known as an outstanding number theorist. However,
the interview did not go well, almost certainly since Lindemann
was only two years off retiring and had only agreed to see
Heisenberg as a favour to his father who was a friend and
colleague. Following this Heisenberg had an interview with
Sommerfeld who happily accepted him as a student.
With his fellow student Pauli, Heisenberg began to study
theoretical physics under Sommerfeld in October 1920. At first
he was cautious, taking mostly mathematics classes and making
sure that he could revert to mathematics if the theoretical
physics went badly. He avoided courses by Lindemann, however, so
his mathematical interests moved from number theory to geometry.
Soon his confidence in theoretical physics was such that by the
second semester he was taking all of Sommerfeld's courses. He
also took courses in experimental physics, which were
compulsory, and he began to plan to undertake research in
relativity. However Pauli, who was at that time working on his
major survey of the theory of relativity, advised him against
doing research in that topic. On atomic structure, however,
Pauli explained, much needed to be done since theory and
experiment did not agree.
Heisenberg wrote of his early days at university:-
"My first two years at Munich University were spent in two quite
different worlds: among my friends of the youth movement and in
the abstract realm of theoretical physics. Both worlds were so
filled with intense activity that I was often in a state of
great agitation, the more so as I found it rather difficult to
shuttle between the two."
In June 1922 he attended lectures by Niels Bohr in Göttingen.
Returning to Munich, Sommerfeld gave him a problem in
hydrodynamics to keep him busy while he (Sommerfeld) spent
session 1922-23 in the United States. Heisenberg presented
preliminary results on the problem on turbulence at a conference
in Innsbruck before going again to Göttingen to study with Born,
Franck, and Hilbert while his supervisor was away. There he
worked with Born on atomic theory, writing a joint paper with
him on helium. His doctoral dissertation, presented to Munich in
1923, was on turbulence in fluid streams.
After taking his doctorate Heisenberg went on a trip to Finland
then, in October 1923, he returned to Göttingen as Born's
assistant. In March 1924 he visited Niels Bohr at the Institute
for Theoretical Physics in Copenhagen where he met Einstein for
the first time. Returning again to Göttingen he delivered his
habilitation lecture on 28 July 1924 and qualified to teach in
German universities.
Heisenberg later wrote:-
"I learned optimism from Sommerfeld, mathematics at Göttingen,
and physics from Bohr. "
From September 1924 until May 1925 he worked, with the support
of a Rockefeller grant, with Niels Bohr at the University of
Copenhagen, returning for the summer of 1925 to Göttingen.
Heisenberg invented matrix mechanics, the first version of
quantum mechanics, in 1925. He did not invent these concepts as
a matrix algebra, however, rather he focused attention on a set
of quantised probability amplitudes. These amplitudes formed a
non-commutative algebra. It was Max Born and Pascual Jordan in
Göttingen who recognised this non-commutative algebra to be a
matrix algebra.
Matrix mechanics was further developed in a three author paper
by Heisenberg, Born and Jordan published in 1926. In May 1926
Heisenberg was appointed Lecturer in Theoretical Physics in
Copenhagen where he worked with Niels Bohr. In 1927 Heisenberg
was appointed to a chair at the University of Leipzig and he
delivered his inaugural lecture on 1 February 1928. He was to
hold this post until, in 1941, he was made director of the
Kaiser Wilhelm Institute for Physics in Berlin.
In 1932 he was awarded the Nobel Prize in physics for:-
The creation of quantum mechanics, the application of which has
led, among other things, to the discovery of the allotropic
forms of hydrogen.
In the presentation speech H Pleijel said:-
"Heisenberg viewed his problem, from the very beginning, from so
broad an angle that it took care of systems of electrons, atoms,
and molecules. According to Heisenberg one must start from such
physical quantities as permit of direct observation, and the
task consists of finding the laws which link these quantities
together. The quantities first of all to be considered are the
frequencies and intensities of the lines in the spectra of atoms
and molecules. Heisenberg now considered the combination of all
the oscillations of such a spectrum as one system, for the
mathematical handling of which, he set out certain symbolical
rules of calculation. It had formerly been determined already
that certain kinds of motions within the atom must be viewed as
independent from one another to a certain degree, in the same
way that a specific difference is made in classical mechanics
between parallel motion and rotational motion. It should be
mentioned in this connection that in order to explain the
properties of a spectrum it had been necessary to assume
self-rotation of the positive nuclei and the electrons. These
different kinds of motion for atoms and molecules produce
different systems in Heisenberg's quantum mechanics. As the
fundamental factor of Heisenberg's theory can be put forward the
rule set out by him with reference to the relationship between
the position coordinate and the velocity of an electron, by
which rule Planck's constant is introduced into the
quantum-mechanics calculations as a determining factor."
Heisenberg's quantum mechanics has been applied by himself and
others to the study of the properties of the spectra of atoms
and molecules, and has yielded results which agree with
experimental research. It can be said that Heisenberg's quantum
mechanics has made possible a systemization of spectra of atoms.
It should also be mentioned that Heisenberg, when he applied his
theory to molecules consisting of two similar atoms, found among
other things that the hydrogen molecule must exist in two
different forms which should appear in some given ratio to each
other. This prediction of Heisenberg's was later also
experimentally confirmed.
Heisenberg is perhaps best known for the Uncertainty Principle,
discovered in 1927, which states that determining the position
and momentum of a particle necessarily contains errors the
product of which cannot be less than the quantum constant h.
These errors are negligible in general but become critical when
studying the very small such as the atom. It was in 1927 that
Heisenberg attended the Solvay Conference in Brussels. He wrote
in 1969:-
"To those of us who participated in the development of atomic
theory, the five years following the Solvay Conference in
Brussels in 1927 looked so wonderful that we often spoke of them
as the golden age of atomic physics. The great obstacles that
had occupied all our efforts in the preceding years had been
cleared out of the way, the gate to an entirely new field, the
quantum mechanics of the atomic shells stood wide open, and
fresh fruits seemed ready for the picking."
Heisenberg published The Physical Principles of Quantum Theory
in 1928. In 1929 he went on a lecture tour to the United States,
Japan, and India. In the 1930s Heisenberg and Pauli used a
quantised realisation of space in their lattice calculations.
Heisenberg hoped this mathematical property would lead to a
fundamental property of nature with a 'fundamental length' as
one of the constants of nature.
In 1932 Heisenberg wrote a three part paper which describes the
modern picture of the nucleus of an atom. He treated the
structure of the various nuclear components discussing their
binding energies and their stability. These papers opened the
way for others to apply quantum theory to the atomic nucleus.
In 1935 the Nazis brought in a law whereby professors over 65
had to retire. Sommerfeld was 66 and he had already indicated
that he wanted Heisenberg to succeed him. It was an appointment
which Heisenberg badly wanted and in 1935 Sommerfeld again
indicated that he wanted Heisenberg to fill his chair. However
this was the period when the Nazis wanted "German mathematics"
to replace "Jewish mathematics" and "German physics" to replace
"Jewish physics". Relativity and quantum theory were classed as
"Jewish" and as a consequence Heisenberg's appointment to Munich
was blocked. Although he was in no way Jewish, Heisenberg was
subjected to frequent attacks in the press describing him to be
of "Jewish style".
In 1937 Heisenberg married Elisabeth Schumacher. He met her
through his music which was important to him throughout his
life. An excellent pianist, Heisenberg met Elisabeth Schumacher
at a concert in which he was performing at the house of a
friend. Elizabeth was only 22 when they met, Heisenberg was 35.
They were married on 29 April 1937, less than three months after
they first met. Heisenberg had been asked to take up the
appointment at Munich in March but had asked for the date to be
delayed until August because of his wedding. It was agreed that
he should take up the appointment on 1 August. He and his wife
arrived in Munich in July but his appointment was blocked by the
Nazis.
During the Second World War Heisenberg headed the unsuccessful
German nuclear weapons project Uranverein. He worked with Otto
Hahn, one of the discoverers of nuclear fission, on the
development of a nuclear reactor but failed to develop an
effective program for nuclear weapons. Whether this was because
of lack of resources or a lack of a desire to put nuclear
weapons in the hands of the Nazis, it is unclear.
After the war he was arrested by Alsos, a secret mission that
followed the advancing Allied forces in Europe to determine the
progress of Germany's atomic bomb project. He was interned at
Farm Hall in Godmanchester, Huntingdonshire, England, with other
leading German scientists. However he returned to Germany in
1946 when he was appointed director of the Max Planck Institute
for Physics and Astrophysics at Göttingen. In the winter of
1955-1956 he gave the Gifford Lectures "On physics and
philosophy" at the University of St Andrews. When the Max Planck
Institute moved to Munich in 1958 Heisenberg continued as its
director. He held this post until he resigned in 1970.
He was also interested in the philosophy of physics and wrote
Physics and Philosophy (1962) and Physics and Beyond (1971).
Heisenberg received many honours for his remarkable
contributions in addition to the Nobel Prize for Physics. He was
elected a Fellow of the Royal Society of London, and was a
member of the academies of Göttingen, Bavaria, Saxony, Prussia,
Sweden, Rumania, Norway, Spain, The Netherlands, Rome, the
Akademie der Naturforscher Leopoldina, the Accademia dei Lincei,
and the American Academy of Arts and Sciences. Among the prizes
he received was the Copernicus prize.
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Werner Heisenberg was born on 5th December, 1901, at Würzburg.
He was the son of Dr. August Heisenberg and his wife Annie
Wecklein. His father later became Professor of the Middle and
Modern Greek languages in the University of Munich. It was
probably due to his influence that Heisenberg remarked, when the
Japanese physicist Yukawa discovered the particle now known as
the meson and the term "mesotron" was proposed for it, that the
Greek word "mesos" has no "tr" in it, with the result that the
name "mesotron" was changed to "meson".
Heisenberg went to the Maximilian school at Munich until 1920,
when he went to the University of Munich to study physics under
Sommerfeld, Wien, Pringsheim, and Rosenthal. During the winter
of 1922-1923 he went to Göttingen to study physics under Max
Born, Franck, and Hilbert. In 1923 he took his Ph.D. at the
University of Munich and then became Assistant to Max Born at
the University of Göttingen, and in 1924 he gained the venia
legendi at that University.
From 1924 until 1925 he worked, with a Rockefeller Grant, with
Niels Bohr, at the University of Copenhagen, returning for the
summer of 1925 to Göttingen.
In 1926 he was appointed Lecturer in Theoretical Physics at the
University of Copenhagen under Niels Bohr and in 1927, when he
was only 26, he was appointed Professor of Theoretical Physics
at the University of Leipzig.
In 1929 he went on a lecture tour to the United States, Japan,
and India.
In 1941 he was appointed Professor of Physics at the University
of Berlin and Director of the Kaiser Wilhelm Institute for
Physics there.
At the end of the Second World War he, and other German
physicists, were taken prisoner by American troops and sent to
England, but in 1946 he returned to Germany and reorganized,
with his colleagues, the Institute for Physics at Göttingen.
This Institute was, in 1948, renamed the Max Planck Institute
for Physics.
In 1948 Heisenberg stayed for some months in Cambridge, England,
to give lectures, and in 1950 and 1954 he was invited to lecture
in the United States. In the winter of 1955-1956 he gave the
Gifford Lectures at the University of St. Andrews, Scotland,
these lectures being subsequently published as a book.
During 1955 Heisenberg was occupied with preparations for the
removal of the Max Planck Institute for Physics to Munich. Still
Director of this Institute, he went with it to Munich and in
1958 he was appointed Professor of Physics in the University of
Munich. His Institute was then being renamed the Max Planck
Institute for Physics and Astrophysics.
Heisenberg's name will always be associated with his theory of
quantum mechanics, published in 1925, when he was only 23 years
old. For this theory and the applications of it which resulted
especially in the discovery of allotropic forms of hydrogen,
Heisenberg was awarded the Nobel Prize for Physics for 1932.
His new theory was based only on what can be observed, that is
to say, on the radiation emitted by the atom. We cannot, he
said, always assign to an electron a position in space at a
given time, nor follow it in its orbit, so that we cannot assume
that the planetary orbits postulated by Niels Bohr actually
exist. Mechanical quantities, such as position, velocity, etc.
should be represented, not by ordinary numbers, but by abstract
mathematical structures called "matrices" and he formulated his
new theory in terms of matrix equations.
Later Heisenberg stated his famous principle of uncertainty,
which lays it down that the determination of the position and
momentum of a mobile particle necessarily contains errors the
product of which cannot be less than the quantum constant h and
that, although these errors are negligible on the human scale,
they cannot be ignored in studies of the atom.
From 1957 onwards Heisenberg was interested in work on problems
of plasma physics and thermonuclear processes, and also much
work in close collaboration with the International Institute of
Atomic Physics at Geneva. He was for several years Chairman of
the Scientific Policy Committee of this Institute and
subsequently remained a member of this Committee.
When he became, in 1953, President of the Alexander von Humboldt
Foundation, he did much to further the policy of this
Foundation, which was to invite scientists from other countries
to Germany and to help them to work there.
Since 1953 his own theoretical work was concentrated on the
unified field theory of elementary particles which seems to him
to be the key to an understanding of the physics of elementary
particles.
Apart from many medals and prizes, Heisenberg received an
honorary doctorate of the University of Bruxelles, of the
Technological University Karlsruhe, and recently (1964) of the
University of Budapest; he is also recipient of the Order of
Merit of Bavaria, and the Grand Cross for Federal Services with
Star (Germany). He is a Fellow of the Royal Society of London
and a Knight of the Order of Merit (Peace Class). He is a member
of the Academies of Sciences of Göttingen, Bavaria, Saxony,
Prussia, Sweden, Rumania, Norway, Spain, The Netherlands, Rome (Pontificial),
the German Akademie der Naturforscher Leopoldina (Halle), the
Accademia dei Lincei (Rome), and the American Academy of
Sciences. During 1949-1951 he was President of the Deutsche
Forschungsrat (German Research Council) and in 1953 he became
President of the Alexander von Humboldt Foundation.
One of his hobbies is classical music: he is a distinguished
pianist. In 1937 Heisenberg married Elisabeth Schumacher. They
have seven children, and live in Munich.
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