ANTI-ISOSPECTRAL TRANSFORMATIONS IN QUANTUM-MECHANICS

Authors
KRAJEWSKA A USHVERIDZE A WALCZAK Z
Citation
A. Krajewska et al., ANTI-ISOSPECTRAL TRANSFORMATIONS IN QUANTUM-MECHANICS, Modern physics letters A, 12(17), 1997, pp. 1225-1234
Citations number
20
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields","Physycs, Mathematical
Journal title
Modern physics letters A → ACNP
ISSN journal
02177323
Volume
12
Issue
17
Year of publication
1997
Pages
1225 - 1234
Database
ISI
SICI code
0217-7323(1997)12:17<1225:ATIQ>2.0.ZU;2-4
Abstract
In this letter we demonstrate that there exists a remarkable class of quantum models admitting Z(2) anti-isospectral transformations which c hange the form of the potential and invert the sign of a certain finit e set of energy levels. These transformations help one to construct in teresting classes of non-monic polynomials which are mutually orthogon al on two different intervals with two different weight functions.