The partnership of potentials in quantum mechanics and shape invariance

Authors
Carinena, JF Ramos, A
Citation
Jf. Carinena et A. Ramos, The partnership of potentials in quantum mechanics and shape invariance, MOD PHY L A, 15(16), 2000, pp. 1079-1088
Citations number
28
Categorie Soggetti
Physics
Journal title
MODERN PHYSICS LETTERS A
ISSN journal
02177323 → ACNP
Volume
15
Issue
16
Year of publication
2000
Pages
1079 - 1088
Database
ISI
SICI code
0217-7323(20000530)15:16<1079:TPOPIQ>2.0.ZU;2-U
Abstract
The concept of partnership of potentials is studied in detail and in partic ular the nonuniqueness due to the ambiguity in the election of the factoriz ation energy and in the choice of the solution of certain Riccati equation. We generate new factorizations from old ones using invariance under-parame ter transformations. The theory is illustrated with some examples.