Published 1987
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Spheroidal basis of the four-dimensional isotropic oscillator
Creators
- 1. Erevanskij Gosudarstvennyj Univ. (USSR)
Description
Four-dimensional spheroidal coordinates are introduced. Complete set of spheroidal wave functions of a four-dimensional isotropic oscillator generalizing a spheroidal basis of a hydrogen atom is studied. The integral of motion specific for the spheroidal analysis is derived and by means of this integral the algebraization of the problem in question is carried out. the iteration method is proposed for calculating spheroidal corrections to the noncanonic and double-polar basis of the four-dimensional isotropic oscillator
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19056237.pdf
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Additional details
Additional titles
- Original title (Russian)
- Сфероидальный базис четырехмерного изотропного осциллятора
Publishing Information
- Imprint Pagination
- 15 p.
- Report number
- JINR-R--2-87-453
INIS
- Country of Publication
- USSR
- Country of Input or Organization
- USSR
- INIS RN
- 19056237
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ATOMS; COORDINATES; CORRECTIONS; EQUATIONS OF MOTION; FOUR-DIMENSIONAL CALCULATIONS; HAMILTONIANS; HARMONIC OSCILLATORS; HYDROGEN; ITERATIVE METHODS; LAPLACIAN; RECURSION RELATIONS; SCHROEDINGER EQUATION; WAVE FUNCTIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; ELEMENTS; EQUATIONS; FUNCTIONS; MATHEMATICAL OPERATORS; NONMETALS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; WAVE EQUATIONS
Optional Information
- Notes
- 8 refs.; submitted to the journal Teor. Mat. Fiz.