FACTORIZATION, ALGEBRAIZATION, AND SHAPE INVARIANCE

Citation
A. Inomata et O. Kizilkaya, FACTORIZATION, ALGEBRAIZATION, AND SHAPE INVARIANCE, Foundations of physics, 28(1), 1998, pp. 107-124
Citations number
25
Categorie Soggetti
Physics
Journal title
ISSN journal
00159018
Volume
28
Issue
1
Year of publication
1998
Pages
107 - 124
Database
ISI
SICI code
0015-9018(1998)28:1<107:FAASI>2.0.ZU;2-B
Abstract
The notion of shape invariance in supersymmetric quantum mechanics is examined in relation with the generalized oscillator algebra. Shape in variance is reformulated as fermion-number independence of a parameter function and seen as a symmetry under a shape-related parameter trans formation. It is also shown how shape invariance is implied in the in dynamical group approach.