EXACT SOLUTIONS OF EFFECTIVE-MASS SCHRÖDINGER EQUATIONS-Reference-Cited by-同舟云学术

EXACT SOLUTIONS OF EFFECTIVE-MASS SCHRÖDINGER EQUATIONS

Published:2002-12-07 Issue:37 Volume:17 Page:2453-2465
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

GÖNÜL BÜLENT¹,ÖZER OKAN¹,GÖNÜL BEŞIRE¹,ÜZGÜN FATMA¹

Affiliation:

1. Department of Engineering Physics, Faculty of Engineering, University of Gaziantep, 27310 Gaziantep, Türkiye

Abstract

We outline a general method for obtaining exact solutions of Schrödinger equations with a position-dependent effective mass and compare the results with those obtained within the frame of supersymmetric quantum theory. We observe that the distinct effective mass Hamiltonians proposed in the literature in fact describe exactly equivalent systems having identical spectra and wave functions as far as exact solvability is concerned. This observation clarifies the Hamiltonian dependence of the band-offset ratio for quantum wells.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732302008514

Reference25 articles.

1. On the Formation of Quantum-Mechanical Operators

2. Spin response of unpolarized quantum dots

3. Effective mass of oneHe4atom in liquidHe3

4. Structure and energetics of mixed4He-3He drops

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