Effective-mass Schroedinger equation and generation of solvable potentials

Abstract

A one-dimensional Schrödinger equation with position-dependent effective mass in the kinetic energy operator is studied in the framework of an $so(2,1)$ algebra. New mass-deformed versions of Scarf II, Morse and generalized Pöschl-Teller potentials are obtained. Consistency with an intertwining condition is pointed out.

9 pages, no figure, communication at "2nd International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics", Prague, Czech Republic, June 14-16,2004

References in corpus (7)

• Effective Mass of One 4he Atom in Liquid 3he
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