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Intuitive Solution to Quantum Harmonic Oscillator at Infinity

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Cory C. Pye

Department of Chemistry, Saint Mary''s University, Halifax, NS B3H 3C3, Canada

J. Chem. Educ., 2004, 81 (6), p 830

DOI: 10.1021/ed081p830

Publication Date (Web): June 1, 2004

Section:

History, Education, and Documentation

Abstract

In the solution to the quantum harmonic oscillator problem, the approximate Gaussian solution at large displacements is typically presented without proof. While it is relatively easy to verify that this form is an approximate solution, it is not obvious how this form can be obtained. What follows is a simple intuitive argument that gives the exact Gaussian form required.

Keywords (Audience):

Second-Year Undergraduate

Keywords (Domain):

Laboratory Instruction

Keywords (Feature):

Advanced Chemistry Classroom and Laboratory

Keywords (Subject):

Quantum Chemistry

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This article has been cited by 1 ACS Journal articles (1 most recent appear below).

On the Solution of the Quantum Rigid Rotor
Cory C. Pye
Journal of Chemical Education2006 83 (3), 460
- On the Solution of the Quantum Rigid Rotor
  Cory C. Pye
  Journal of Chemical Education2006 83 (3), 460
  In the solution to the quantum rigid rotor problem, the divergence of the series solution to Legendre's equation at z = ±1 is typically presented without proof. In addition, the relationship between Legendre's equation and the associated Legendre's ...
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