Quantum systems with position-dependent effective mass and equispaced energy levels: New exact results and test of a perturbation scheme

Authors

  • Diandrew Lexter Dy National Institute of Physics, University of the Philippines Diliman
  • Jose Perico Esguerra National Institute of Physics, University of the Philippines Diliman

Abstract

We use SUSY QM to obtain exact expressions for the potential and eigenfunctions of a quantum system with position dependent effective mass exhibiting equispaced energy levels similar to those seen in the harmonic oscillator spectra for the constant mass case. These expressions were only implicitly stated in previous works and for a specific mass function. We then obtained expressions of the potential and eigenfunctions for perturbed mass function, and show that it converges rapidly to exact results for the specific mass function provided before.

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Issue

Article ID

SPP-2005-2C-01

Section

Theoretical and Computational Physics

Published

2005-10-26

How to Cite

[1]
DL Dy and JP Esguerra, Quantum systems with position-dependent effective mass and equispaced energy levels: New exact results and test of a perturbation scheme, Proceedings of the Samahang Pisika ng Pilipinas 23, SPP-2005-2C-01 (2005). URL: https://proceedings.spp-online.org/article/view/SPP-2005-2C-01.