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A new approximation for the quantum square well problem

V. BARSAN1, R. DRAGOMIR1,*

Affiliation

  1. IFIN-HH, Str. Reactorului no.30, P.O.BOX MG-6, Bucharest – Magurele, Romania

Abstract

After a review of the results obtained in the quantum square well problem in the last six decades, Garrett's approach is reformulated in a consistent way, and Barker's solution is deduced using a simple method. A new analytic approximation for the roots of the transcendental equations for the energy eigenvalues is proposed, with applications to the study of quantum wells and resonant cavities..

Keywords

Quantum square well, Resonant cavity, Normal modes, Transcendental equations.

Citation

V. BARSAN, R. DRAGOMIR, A new approximation for the quantum square well problem, Optoelectronics and Advanced Materials - Rapid Communications, 6, 9-10, September-October 2012, pp.917-925 (2012).

Submitted at: March 22, 2012

Accepted at: Sept. 20, 2012