Open AccessTWO NEW CLASSES OF CONDITIONALLY EXACTLY SOLVABLE POTENTIAL AND THEIR NONLINEAR SPECTRUM-GENERATING ALGEBRAS
Author(s) -
Tao Ma,
NI Zhi-xiang
Publication year - 1999
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.48.987
Subject(s) - supersymmetry , spectrum (functional analysis) , class (philosophy) , nonlinear system , physics , symmetry (geometry) , harmonic oscillator , space (punctuation) , quantum mechanics , supersymmetric quantum mechanics , pure mathematics , mathematical physics , quantum , theoretical physics , algebra over a field , mathematics , quantum statistical mechanics , computer science , geometry , artificial intelligence , operating system
Using ideas of supersymmetric quantum mechanics, two new classes of conditionally exactly solvable potentials are constructed from the displaced harmonic oscillator potential. The supersymmetry as well as the space symmetry is broken in one class of them. Furthermore we construct the nonlinear spectrum-generating algebras for them.