Josef Meixner
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Josef Meixner (24 April 1908 – 19 March 1994) was a German theoretical physicist, known for his work on the physics of deformable bodies, thermodynamics, statistical mechanics,
Meixner polynomials In mathematics, Meixner polynomials (also called discrete Laguerre polynomials) are a family of discrete orthogonal polynomials introduced by . They are given in terms of binomial coefficients and the (rising) Pochhammer symbol In mathematics, th ...
, Meixner–Pollaczek polynomials, and spheroidal wave functions.Meixner
– CIO NIST


Education

Meixner began his studies in theoretical physics with
Arnold Sommerfeld Arnold Johannes Wilhelm Sommerfeld, (; 5 December 1868 – 26 April 1951) was a German theoretical physicist who pioneered developments in atomic and quantum physics, and also educated and mentored many students for the new era of theoretica ...
at the
Ludwig Maximilian University of Munich The Ludwig Maximilian University of Munich (simply University of Munich or LMU; german: Ludwig-Maximilians-Universität München) is a public research university in Munich, Germany. It is Germany's sixth-oldest university in continuous operatio ...
in 1926. He was awarded his doctorate in 1931, with the submission of a thesis on the application of the Green function in
quantum mechanics Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles. It is the foundation of all quantum physics including quantum chemistry, ...
.


Career

Meixner taught at a high school for a few years. He was an assistant at the Institute of Theoretical Physics in Munchen until 1934. He worked with
Salomon Bochner Salomon Bochner (20 August 1899 – 2 May 1982) was an Austrian mathematician, known for work in mathematical analysis, probability theory and differential geometry. Life He was born into a Jewish family in Podgórze (near Kraków), then Aust ...
to determine that the
Hermite polynomials In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence. The polynomials arise in: * signal processing as Hermitian wavelets for wavelet transform analysis * probability, such as the Edgeworth series, as well a ...
were the only
orthogonal polynomials In mathematics, an orthogonal polynomial sequence is a family of polynomials such that any two different polynomials in the sequence are orthogonality, orthogonal to each other under some inner product. The most widely used orthogonal polynomial ...
p_n(x) with generating functions of the form f(t)e^ = \sum_^p_n(x)\frac. Meixner later wrote in his personal memoirs about his close friend, an Austrian Jew who came to Munich in 1929 and left for Princeton in 1933:
Bochner foresaw the coming political development very clearly, and I recall when we, surely at the end of 1932, stood before a bulletin board of the Voelkischer Beobachter and he said: ‘Now it is almost time that I must depart’. When I t age 24replied that then I would also like to leave, he replied: You remain here; nothing will happen to you and for us there are too few places in the world.
Meixner loosened the condition on the generating function and determined that f(t)e^ = \sum_^p_n(x)\frac was satisifed by five classes of polynomials, known as the
Hermite polynomials In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence. The polynomials arise in: * signal processing as Hermitian wavelets for wavelet transform analysis * probability, such as the Edgeworth series, as well a ...
,
Charlier polynomials In mathematics, Charlier polynomials (also called Poisson–Charlier polynomials) are a family of orthogonal polynomials introduced by Carl Charlier. They are given in terms of the generalized hypergeometric function by :C_n(x; \mu)= _2F_0(-n,-x;-;- ...
,
Laguerre polynomials In mathematics, the Laguerre polynomials, named after Edmond Laguerre (1834–1886), are solutions of Laguerre's equation: xy'' + (1 - x)y' + ny = 0 which is a second-order linear differential equation. This equation has nonsingular solutions only ...
,
Meixner polynomials In mathematics, Meixner polynomials (also called discrete Laguerre polynomials) are a family of discrete orthogonal polynomials introduced by . They are given in terms of binomial coefficients and the (rising) Pochhammer symbol In mathematics, th ...
and Meixner-Pollaczek polynomials. He published this result in 1934. In 1934, Meixner became an Assistant in theoretical physics to
Karl Bechert Karl Richard Bechert (August 23, 1901 in Nuremberg, Middle Franconia – April 1, 1981 in Weilmünster-Möttau, Hesse) was a German theoretical physicist and political leader. As a scientist, he made contributions in atomic physics. Scientif ...
at the
University of Giessen University of Giessen, official name Justus Liebig University Giessen (german: Justus-Liebig-Universität Gießen), is a large public research university in Giessen, Hesse, Germany. It is named after its most famous faculty member, Justus von L ...
. Also in 1934, he joined the Nazi paramilitary SA. In 1937, he became a Lecturer and also joined the
Nazi party The Nazi Party, officially the National Socialist German Workers' Party (german: Nationalsozialistische Deutsche Arbeiterpartei or NSDAP), was a far-right politics, far-right political party in Germany active between 1920 and 1945 that crea ...
. From 1939 to 1941 he was a lecturer at the
Humboldt University of Berlin Humboldt-Universität zu Berlin (german: Humboldt-Universität zu Berlin, abbreviated HU Berlin) is a German public research university in the central borough of Mitte in Berlin. It was established by Frederick William III on the initiative o ...
. Serving in the German army, from September 1941 he was stationed at the weather station at
Vadsø Vadsø (; sme, Čáhcesuolu; fkv, Vesisaari) is a municipality in Troms og Finnmark County, Norway. The administrative centre of the municipality is the town of Vadsø, which was the administrative centre of the former Finnmark county. Other ...
,
Kirkenes Kirkenes (; ; Skolt Sami: ''Ǩeârkknjargg;'' fi, Kirkkoniemi; ; russian: Киркенес) is a List of towns and cities in Norway, town in Sør-Varanger Municipality in Troms og Finnmark county, in the far northeastern part of Norway. The town ...
,
Norway Norway, officially the Kingdom of Norway, is a Nordic country in Northern Europe, the mainland territory of which comprises the western and northernmost portion of the Scandinavian Peninsula. The remote Arctic island of Jan Mayen and t ...
. In 1942, he was appointed “Extraordinary” Professor of theoretical physics and Director of the Institute of Theoretical Physics at Rhine-Westfalian Institute of Technology, Aachen, Germany. However, he could not take up this position until he was released from the armed forces in the summer of 1943. Meixner received a denazification certificate (
Persilschein ''Persilschein'' is a German idiom and literally means "Persil ticket" ("Persil" refers to a brand of laundry detergent). To own or have a ''Persilschein'' is akin to having "a clean bill of health" and may refer to the granting of a wide-ranging ...
) with the help of his PhD advisor Sommerfeld, one of the few German scientists untainted with Nazi affiliation, who wrote that Meixner had never been a supporter of the Nazi system but in his circumstances it would have been very difficult for him to avoid joining the SA. Meixner was promoted to “Ordinary” Professor in 1949. After Sommerfeld's death in 1951, Meixner edited a volume and new editions of two other volumes of Sommerfeld's six-volume ''
Vorlesungen über theoretische Physik ''Lectures on Theoretical Physics'' is a six-volume series of physics textbooks translated from Arnold Sommerfeld's classic German texts ''Vorlesungen über Theoretische Physik''. The series includes the volumes ''Mechanics'', ''Mechanics of De ...
''. Meixner conducted research and taught graduate courses at the Institut für theoretische Physik of the
Rheinisch-Westfälische Technische Hochschule Aachen RWTH Aachen University (), also known as North Rhine-Westphalia Technical University of Aachen, Rhine-Westphalia Technical University of Aachen, Technical University of Aachen, University of Aachen, or ''Rheinisch-Westfälische Technische Hoch ...
(RWTH Aachen). Literature citations, as well as doctorates granted to his students, put Meixner at RWTH Aachen, or just Aachen, for years in each of the decades from the 1950s until his death in 1994. He was known for his work on the physics of deformable bodies (
rheology Rheology (; ) is the study of the flow of matter, primarily in a fluid ( liquid or gas) state, but also as "soft solids" or solids under conditions in which they respond with plastic flow rather than deforming elastically in response to an appl ...
), thermodynamics, statistical mechanics, Meixner polynomials, Meixner-Pollaczek polynomials, and spheroidal wave functions.Meixner
– Mathematics Genealogy Project. Meixner is cited as having been the Ph.D. thesis advisor for students in 1962, 1964, and 1967, at the Rheinisch-Westfälische Technische Hochschule Aachen.


Selected Literature

*. This is Meixner's doctoral thesis at Munich, submitted for publication 14 July 1931. * *. Meixner is cited as being at the ''Institut für theoretische Physik, RWTH Aachen''. Received: 27 October 1972. *. Meixner is cited as being at the ''Institut für Theoretische Physik, Rhein.-Westf. Technische Hochschule'' Aachen, Germany. Received: 19 May 1982.


Books

* J. Meixner and F. W. Schäfke ''Mathieusche Funktionen und Sphäroidfunktionen'' (Springer-Verlag, 1954) ** J. Meixner, F. W. Schäfke, and G. Wolf ''Mathieu functions and spheroidal functions and their mathematical foundations: further studies'' (Springer-Verlag, 1980) * J. Meixner, editor ''Statistical Mechanics of Equilibrium and Non-equilibrium'' Proceedings of the International Symposium on Statistical Mechanics and Thermodynamics held June 15–20, 1964, in Aachen, Germany. (North-Holland Publishing Co., 1965)


Edited Books

* Sommerfeld, Arnold ''
Vorlesungen über theoretische Physik ''Lectures on Theoretical Physics'' is a six-volume series of physics textbooks translated from Arnold Sommerfeld's classic German texts ''Vorlesungen über Theoretische Physik''. The series includes the volumes ''Mechanics'', ''Mechanics of De ...
. Band 5: Thermodynamik und Statistik. Herausgegeben von
Fritz Bopp Friedrich Arnold "Fritz" Bopp (27 December 1909 – 14 November 1987) was a German theoretical physicist who contributed to nuclear physics and quantum field theory. He worked at the '' Kaiser-Wilhelm Institut für Physik'' and with the '' Ura ...
und Josef Meixner.'' (Diederich, 1952) * Sommerfeld, Arnold ''
Vorlesungen über theoretische Physik ''Lectures on Theoretical Physics'' is a six-volume series of physics textbooks translated from Arnold Sommerfeld's classic German texts ''Vorlesungen über Theoretische Physik''. The series includes the volumes ''Mechanics'', ''Mechanics of De ...
. Band 2: Optik. 2. Auflage, bearbeitet und ergänzt von Fritz Bopp und Josef Meixner.'' (
Akademische Verlagsgesellschaft The (AVG, AVg, Aka, AV; English: Academic publishing company) in Leipzig was an important German academic publisher, which was founded in 1906. The original Jewish owners of the publishing house and key employees were expropriated during the t ...
, 1959) * Sommerfeld, Arnold ''
Vorlesungen über theoretische Physik ''Lectures on Theoretical Physics'' is a six-volume series of physics textbooks translated from Arnold Sommerfeld's classic German texts ''Vorlesungen über Theoretische Physik''. The series includes the volumes ''Mechanics'', ''Mechanics of De ...
. Band 3: Elektrodynamik. 3. Auflage, bearbeitet und ergänzt von Fritz Bopp und Josef Meixner.'' (
Akademische Verlagsgesellschaft The (AVG, AVg, Aka, AV; English: Academic publishing company) in Leipzig was an important German academic publisher, which was founded in 1906. The original Jewish owners of the publishing house and key employees were expropriated during the t ...
, 1961)


Notes


External links


Meixner-Pollaczek Polynomials
– Wolfram MathWorld

– Wolfram MathWorld

– Wolfram MathWorld {{DEFAULTSORT:Meixner, Josef 1908 births 1976 deaths 20th-century German physicists Rheologists Fellows of the American Physical Society Ludwig Maximilian University of Munich alumni Academic staff of the University of Giessen Academic staff of the Humboldt University of Berlin Academic staff of RWTH Aachen University People from Starnberg (district) Scientists from Bavaria