JCE 1995 (72) 1015 [Nov] Resonant States of a One-Dimensional Piecewise Constant Potential


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Home > JCE Print > Journal of Chemical Education > Issues > 1995 > November >

General Interest

Resonant States of a One-Dimensional Piecewise Constant Potential

Gregory I. Gellene
Texas Tech University, Lubbock, TX 79409-1061

November 1995
Vol. 72 No. 11
p. 1015

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Abstract

General expressions for the one-dimensional quantum mechanical wave functions of a particle confined to a half plane containing a potential barrier are developed and used to illustrate the properties of shape resonance states. For a particular choice of potential parameters, explicit numerical examples are presented emphasizing (1) the method of locating resonance states by the energy dependent phase change of the asymptotic wave function and (2) the comparison of resonance state properties to those of more familiar bound state wave functions.

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Citation	Gellene, Gregory I. J. Chem. Educ. 1995 72 1015.
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History	Created: Last Updated:	10/1/1999 5/22/2006


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