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Monte Carlo Approach to Generating the Probability-Distribution Function of a Classical Harmonic Oscillator

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Robert A. Craig

The University of Melbourne, Parkville, 3052, Australia

Stephen W. Bigger

Victoria University of Technology, St. Albans Campus, P. O. Box 14428, MCMC, Melbourne, 8001, Australia

J. Chem. Educ., 1996, 73 (8), p 724

DOI: 10.1021/ed073p724

Publication Date (Web): August 1, 1996

Abstract

A comparison of the classical and quantum mechanical descriptions of a simple harmonic oscillator is made with particular regard to its probability distribution function. A simple BASIC computer program is presented which gives students a clear understanding of the probability distribution and serves as an introductory example of the Monte Carlo method of numerical modelling.

Keywords (Audience):

Graduate Education / Research

Keywords (Domain):

Physical Chemistry

Keywords (Feature):

Computer Series

Keywords (Pedagogy):

Computer-Based Learning

Keywords (Subject):

Mathematics / Symbolic Mathematics

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Received: August 03, 2009

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Article

Monte Carlo Approach to Generating the Probability-Distribution Function of a Classical Harmonic Oscillator

Abstract

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Off-the-Shelf Portable Data Acquisition: Interfacing a Serial-Port-Equipped Multimeter

Determining Intermolecular Potentials from Second Virial Coefficients

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