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EFFECTIVE MASS HAMILTONIANS WITH LINEAR TERMS IN THE MOMENTUM: DARBOUX TRANSFORMATIONS AND FORM-PRESERVING TRANSFORMATIONS

AXEL SCHULZE-HALBERG

Facultad de Ciencias, Universidad de Colima, Bernal Díaz del Castillo 340, C.P. 28045, Colima, México

https://doi.org/10.1142/S0217751X07035021Cited by:13 (Source: Crossref)

Abstract

We define form-preserving transformations and Darboux transformations for time-dependent, effective mass Hamiltonians with additional linear terms. We give reality conditions for both transformations, guaranteeing the transformed potential to be real-valued. We further show that our form-preserving transformation preserves normalizability of the Schrödinger wave function. Our results generalize all former results on form-preserving transformations and Darboux transformations for the time-dependent Schrödinger equation. This paper is a sequel of Refs. 16–18.

Keywords:

PACS: 03.65.Ge, 03.65.Ca

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