Published 1985
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Polysheroidal periodic functions
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Description
Separation of variables in the Helmholtz N-dimensional (N≥4) equation in polyspheroidal coordinate systems leads to the necessity of solving equations going over into equations for polyspheroidal periodic functions used for solving the two-centre problem in quantum mechanics, the three-body problem with Coulomb interaction, etc. For these functions the expansions are derived in terms of the Jacobi polynomials and Bessel functions. Their basic properties, asymptotics are considered. The algorithm of their computer calculations is developed. The results of numerical calculations are given
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Additional details
Additional titles
- Original title (Russian)
- Полисфероидальные периодические функции
Publishing Information
- Imprint Title
- Proceedings of 5. International meeting on problems of mathematical simulation, programming, and mathematical method for solving the physical problems
- Journal Page Range
- p. 258-260.
- Report number
- JINR-D--10,11-84-818
Conference
- Title
- 5. International meeting on problems of mathematical simulation, programming, and mathematical methods for solving the physical problems.
- Dates
- 20-23 Sep 1983.
- Place
- Dubna (USSR).
INIS
- Country of Publication
- USSR
- Country of Input or Organization
- USSR
- INIS RN
- 18053189
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- BESSEL FUNCTIONS; HYPERGEOMETRIC FUNCTIONS; JACOBIAN FUNCTION; PARTITION FUNCTIONS; POLYNOMIALS; RECURSION RELATIONS; SERIES EXPANSION; SPHERICAL HARMONICS; THREE-BODY PROBLEM; TWO-BODY PROBLEM
- Descriptors DEC
- FUNCTIONS; MANY-BODY PROBLEM
Optional Information
- Notes
- 11 refs. Imprint:Trudy 5. Mezhdunarodnogo soveshchaniya po problemam matematicheskogo modelirovaniya, programmirovaniyu i matematicheskim metodam resheniya fizicheskikh zadach.;Matematicheskoe modelirovanie.