Exact solvability of potentials with spatially dependent effective masses

Citation
Ad. Dutra et Cas. Almeida, Exact solvability of potentials with spatially dependent effective masses, PHYS LETT A, 275(1-2), 2000, pp. 25-30
Citations number
42
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601 → ACNP
Volume
275
Issue
1-2
Year of publication
2000
Pages
25 - 30
Database
ISI
SICI code
0375-9601(20001002)275:1-2<25:ESOPWS>2.0.ZU;2-Y
Abstract
We discuss the relationship between exact solvability of the Schroedinger e quation, due to a spatially dependent mass, and the ordering ambiguity. Som e examples show that, even in this case, one can find exact solutions. Furt hermore, it is demonstrated that operators with linear dependence on the mo mentum are nonambiguous. (C) 2000 Elsevier Science B.V. All rights reserved .