PHASE-INTEGRAL APPROACH TO QUANTAL 2-DIMENSIONAL AND O-DIMENSIONAL ISOTROPIC ANHARMONIC-OSCILLATORS

Authors
LAKSHMANAN M KALIAPPAN P LARSSON K KARLSSON F FROMAN PO
Citation
M. Lakshmanan et al., PHASE-INTEGRAL APPROACH TO QUANTAL 2-DIMENSIONAL AND O-DIMENSIONAL ISOTROPIC ANHARMONIC-OSCILLATORS, Physical review. A, 49(5), 1994, pp. 3296-3309
Citations number
28
Categorie Soggetti
Physics
Journal title
Physical review. A → ACNP
ISSN journal
10502947
Volume
49
Issue
5
Year of publication
1994
Part
A
Pages
3296 - 3309
Database
ISI
SICI code
1050-2947(1994)49:5<3296:PATQ2A>2.0.ZU;2-Y
Abstract
A two- or three-dimensional quantal isotropic anharmonic oscillator is treated by means of the phase-integral method of Froman and Froman. T he generalized Bohr-Sommerfeld quantization condition for the radial w ave function is expressed in terms of complete elliptic integrals up t o the fifth order of the phase-integral approximation. The quantizatio n condition is solved numerically, and energy levels are obtained for various quantum numbers. Comparison with numerically exact results is also made.