quantum mechanics
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1: 36.14 Other Physical Applications
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§36.14(iii) Quantum Mechanics
…2: 17.17 Physical Applications
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►They were given this name because they play a role in quantum physics analogous to the role of Lie groups and special functions in classical mechanics.
See Kassel (1995).
►A substantial literature on -deformed quantum-mechanical Schrödinger equations has developed recently.
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3: Simon Ruijsenaars
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►His main research interests cover integrable systems, special functions, analytic difference equations, classical and quantum mechanics, and the relations between these areas.
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4: 11.12 Physical Applications
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5: Vadim B. Kuznetsov
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►Kuznetsov published papers on special functions and orthogonal polynomials, the quantum scattering method, integrable discrete many-body systems, separation of variables, Bäcklund transformation techniques, and integrability in classical and quantum mechanics.
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6: 6.17 Physical Applications
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►Geller and Ng (1969) cites work with applications from diffusion theory, transport problems, the study of the radiative equilibrium of stellar atmospheres, and the evaluation of exchange integrals occurring in quantum mechanics.
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7: T. Mark Dunster
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►He has received a number of National Science Foundation grants, and has published numerous papers in the areas of uniform asymptotic solutions of differential equations, convergent WKB methods, special functions, quantum mechanics, and scattering theory.
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8: 13.28 Physical Applications
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►For potentials in quantum mechanics that are solvable in terms of confluent hypergeometric functions see Negro et al. (2000).
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9: 14.31 Other Applications
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§14.31(iii) Miscellaneous
►Many additional physical applications of Legendre polynomials and associated Legendre functions include solution of the Helmholtz equation, as well as the Laplace equation, in spherical coordinates (Temme (1996b)), quantum mechanics (Edmonds (1974)), and high-frequency scattering by a sphere (Nussenzveig (1965)). …10: 9.16 Physical Applications
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►The KdV equation and solitons have applications in many branches of physics, including plasma physics lattice dynamics, and quantum mechanics.
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►An example from quantum mechanics is given in Landau and Lifshitz (1965), in which the exact solution of the Schrödinger equation for the motion of a particle in a homogeneous external field is expressed in terms of .
…This reference provides several examples of applications to problems in quantum mechanics in which Airy functions give uniform asymptotic approximations, valid in the neighborhood of a turning point.
A study of the semiclassical description of quantum-mechanical scattering is given in Ford and Wheeler (1959a, b).
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