ANALYTIC SOLUTIONS OF THE SCHRODINGER-EQUATION FOR THE MODIFIED QUARTIC OSCILLATOR

Authors
SKALA L DVORAK J KAPSA V
Citation
L. Skala et al., ANALYTIC SOLUTIONS OF THE SCHRODINGER-EQUATION FOR THE MODIFIED QUARTIC OSCILLATOR, International journal of theoretical physics, 36(12), 1997, pp. 2953-2961
Citations number
20
Categorie Soggetti
Physics
Journal title
International journal of theoretical physics → ACNP
ISSN journal
00207748
Volume
36
Issue
12
Year of publication
1997
Pages
2953 - 2961
Database
ISI
SICI code
0020-7748(1997)36:12<2953:ASOTSF>2.0.ZU;2-T
Abstract
No analytic solutions of the Schrodinger equation are known for the qu artic anharmonic oscillator. We show in this paper that there are clos ely related modified quartic oscillators with the potential depending on \x\ for which analytic solutions for some states exist. These resul ts can be extended to the higher order oscillators.