Interbasis expansions in the two-dimensional hydrogen atom

Journal Article · Sun Dec 01 00:00:00 EST 1985 · Theor. Math. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01017506· OSTI ID:5937842

Mardoyan, L G; Pogosyan, G S; Sisakyan, A N; Ter-Antonyan, V M

The authors show that the coefficients of the expansion of the parabolic subbases of the two-dimensional hydrogen atom with respect to the polar subbases can be expressed in terms of the generalized hypergeometric function /sub 3/F/sub 2/ for argument value x = 1. The expansions of the elliptic basis with respect to the polar and the parabolic are also investigated. A study is made of the limits R..-->..O and Rinfinity.

• Research Organization: Joint Institute for Nuclear Research, Dubna
• OSTI ID: 5937842
• Journal Information: Theor. Math. Phys.; (United States), Vol. 63:3; Other Information: Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 63, No. 3, pp. 406-416, June, 1985
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
HYDROGEN
WAVE FUNCTIONS
ATOMS
ELLIPTICAL CONFIGURATION
ENERGY SPECTRA
EXPANSION
FUNCTIONS
GEOMETRY
TWO-DIMENSIONAL CALCULATIONS
CONFIGURATION
ELEMENTS
MATHEMATICS
NONMETALS
SPECTRA
640305* - Atomic
Molecular & Chemical Physics- Atomic & Molecular Theory- (-1987)
658000 - Mathematical Physics- (-1987)