Published 1993
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Oscillator poly spheroidal functions
Description
Necessary in a number of physical problems new special functions are obtained. Solutions of the Schroedinger equation of the N-dimensional (N ≥ 4) harmonic oscillator in Euclidean and pseudo Euclidean spaces in the poly spheroidal coordinate systems are expressed via functions, particular cases of which are Coulomb spheroidal and wave poly spheroidal functions. Analytical expressions are found, main properties and particular cases of new functions are considered and an algorithm for their computer calculation is prepared. (author). 19 refs
Availability note (English)
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Additional details
Additional titles
- Original title (Russian)
- Осцилляторные полисфероидальные функции
Publishing Information
- Imprint Pagination
- 14 p.
- Report number
- JINR-R--5-93-169
INIS
- Country of Publication
- Joint Institute for Nuclear Research (JINR)
- Country of Input or Organization
- Joint Institute for Nuclear Research (JINR)
- INIS RN
- 25045370
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EIGENVALUES; HARMONIC OSCILLATORS; JACOBIAN FUNCTION; POLYNOMIALS; RECURSION RELATIONS; SERIES EXPANSION; SPHEROIDS; STURM-LIOUVILLE EQUATION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS
Optional Information
- Notes
- 19 refs. Submitted to Yad. Fiz.