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Resonant States of a One-Dimensional Piecewise Constant Potential

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Gregory I. Gellene

Texas Tech University, Lubbock, TX 79409-1061

J. Chem. Educ., 1995, 72 (11), p 1015

DOI: 10.1021/ed072p1015

Publication Date: November 1995

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.

Keywords (Audience):

Upper-Division Undergraduate

Keywords (Domain):

Physical Chemistry

Keywords (Subject):

Atomic Properties / Structure

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Received: August 03, 2009

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Article

Resonant States of a One-Dimensional Piecewise Constant Potential

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An inexpensive gel-filtration chromatography experiment: A simple biochemical laboratory exercise for high school and undergraduate students who make their own column and apply simple detection techniques

Fe(s) + Cu(II)(aq) -> Fe(II)(aq) + Cu(s): Fifteen Centuries of Search

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