DARBOUX TRANSFORMATION AND ELEMENTARY EXACT-SOLUTIONS OF THE SCHRODINGER-EQUATION

Authors
BAGROV VG SAMSONOV BF
Citation
Vg. Bagrov et Bf. Samsonov, DARBOUX TRANSFORMATION AND ELEMENTARY EXACT-SOLUTIONS OF THE SCHRODINGER-EQUATION, Pramana journal of physics, 49(6), 1997, pp. 563-580
Citations number
34
Journal title
Pramana journal of physics → ACNP
ISSN journal
03044289
Volume
49
Issue
6
Year of publication
1997
Pages
563 - 580
Database
ISI
SICI code
0304-4289(1997)49:6<563:DTAEEO>2.0.ZU;2-I
Abstract
Darboux transformation is applied to three classical potentials, namel y the harmonic oscillator, effective Coulomb and Morse potentials to g enerate exactly solvable potentials of elementary form. For every pote ntial, the isospectral families of potentials are constructed. For alm ost all potentials, a set of normalized discrete spectrum wave functio ns is given.