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 to determine that the
Hermite polynomials were the only
orthogonal polynomials p_n(x) with generating functions of the form f(t)e^{xt} = \sum_{n=0}^{\infty}p_n(x)\frac{t^n}{n!}. 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 [at age 24] replied 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^{xu(t)} = \sum_{n=0}^{\infty}p_n(x)\frac{t^n}{n!} was satisfied by five classes of polynomials, known as the
Hermite polynomials,
Charlier polynomials,
Laguerre polynomials,
Meixner polynomials and
Meixner-Pollaczek polynomials. He published this result in 1934. In 1934, Meixner became an Assistant in theoretical physics to
Karl Bechert at the
University of Giessen. Also in 1934, he joined the Nazi paramilitary
SA. In 1937, he became a Lecturer and also joined the
Nazi party. From 1939 to 1941 he was a lecturer at the
Humboldt University of Berlin. Serving in the German army, from September 1941 he was stationed at the weather station at
Vadsø,
Finnmark,
Norway. In 1942, he was appointed “Extraordinary” Professor of theoretical physics and Director of the Institute of Theoretical Physics at the
RWTH Aachen University in 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) 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. Meixner conducted research and taught graduate courses at the Institut für theoretische Physik of the RWTH Aachen University. Literature citations, as well as doctorates granted to his students, put Meixner at RWTH Aachen University, 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), thermodynamics, statistical mechanics, Meixner polynomials, Meixner-Pollaczek polynomials, and spheroidal wave functions. ==Selected Literature==