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Compounding Selection Rules in Quantum Mechanics

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K. R. Brownstein and K. S. Capelle

University of Maine, Department of Physics and Astronomy, 5709 Bennett Hall, Orono, ME 04469-5709

J. Chem. Educ., 1999, 76 (7), p 992

DOI: 10.1021/ed076p992

Publication Date (Web): July 1, 1999

Section:

History, Education, and Documentation

Abstract

The selection rule for matrix elements, <<I>n_j|αβ|n_k>, of a product of operators, αβ, can be obtained by compounding the selection rules for the matrix elements <<I>n_j|α|n_k> and <<I>n_s|β|n_k> of the individual operators through intermediate states |n_s. We point out that a naive application of this technique may lead to misleading results due to nonexistent intermediate "ghost" states.

Keywords (Audience):

Upper-Division Undergraduate

Keywords (Domain):

Physical Chemistry

Keywords (Subject):

Quantum Chemistry

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Received: August 03, 2009

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Compounding Selection Rules in Quantum Mechanics

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An Integrated Molecular Modeling and Melting Point Experiment for the Organic Chemistry Laboratory

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