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21: William P. Reinhardt
 1942 in San Francisco, California) is Professor of Chemistry and Adjunct Professor of Physics at the University of Washington, Seattle, currently Emeritus. …Reinhardt is a frequent visitor to the NIST Physics Laboratory in Gaithersburg, and to the Joint Quantum Institute (JQI) and Institute for Physical Sciences and Technology (ISTP) at the University of Maryland. … Reinhardt is a theoretical chemist and atomic physicist, who has always been interested in orthogonal polynomials and in the analyticity properties of the functions of mathematical physics. … This is closely connected with his interests in classical dynamical “chaos,” an area where he coauthored a book, Chaos in atomic physics with Reinhold Blümel. Reinhardt was elected to Fellowship in: The American Physical Society 1980, the American Association for the Advancement of Science 1983, Phi Beta Kappa 1998, and The Institute of Physics (UK) 2000. …
22: 9.16 Physical Applications
§9.16 Physical Applications
Airy functions are applied in many branches of both classical and quantum physics. … The frequent appearances of the Airy functions in both classical and quantum physics is associated with wave equations with turning points, for which asymptotic (WKBJ) solutions are exponential on one side and oscillatory on the other. …Within classical physics, they appear prominently in physical optics, electromagnetism, radiative transfer, fluid mechanics, and nonlinear wave propagation. … The KdV equation and solitons have applications in many branches of physics, including plasma physics lattice dynamics, and quantum mechanics. …
23: Barry I. Schneider
He joined the Theoretical Division of the Los Alamos National Laboratory (1972-1991) and then the National Science Foundation (1991-2013) where he was a Program Director in the Physics Division and then in the Office of Cyberinfrastructure. … Schneider’s current research interests span a broad number of areas of theoretical chemistry, atomic and molecular physics, numerical methods and high performance computing. …Schneider was awarded a Poste Rouge by the CNRS in 1980, was elected a Fellow of the American Physical Society (APS) in 1983 and received the prestigious Humboldt prize from the German government in 1987. …Schneider has served as Chair and Co-Chair of the APS Division of Computational Physics and the Topical Group on Few-Body Systems and Multipartical Dynamics and has been the organizer of a number of conferences and invited sessions here and abroad. …He is an Editor in Chief for Computers in Science and Engineering and a Specialist Editor for Computer Physics Communications. …
24: 13.28 Physical Applications
§13.28 Physical Applications
§13.28(ii) Coulomb Functions
25: 16.24 Physical Applications
§16.24 Physical Applications
26: Bille C. Carlson
After the war he returned to Harvard and completed Bachelor’s and Master’s degrees in physics and mathematics. He then went to Oxford as a Rhodes Scholar and completed a doctoral degree in physics. After four years in the Physics Department at Princeton, he went to the Ames Laboratory and Iowa State University in 1954, where he was a Professor in the Physics and Mathematics Departments. In theoretical physics he is known for the “Carlson-Keller Orthogonalization”, published in 1957, Orthogonalization Procedures and the Localization of Wannier Functions, and the “Carlson-Keller Theorem”, published in 1961, Eigenvalues of Density Matrices. … Carlson was elected a Fellow of the American Physical Society in 1971. …
27: Simon Ruijsenaars
 1948 in Hillegom, The Netherlands) is a Professor of Mathematical Physics at the University of Leeds. …
28: 10 Bessel Functions
29: 22 Jacobian Elliptic Functions
30: Peter A. Clarkson
He is also coauthor of the book From Nonlinearity to Coherence: Universal Features of Nonlinear Behaviour in Many-Body Physics (with J. … Institute of Physics in 1999, and of the U. …