Exploring the Harmonic Oscillator Wave Functions

Theresa Julia Zielinski
Department of Chemistry, Medical Technology, and Physics, Monmouth University, West Long Branch, NJ 07764
J. Chem. Educ., 2007, 84 (7), p 1232
DOI: 10.1021/ed084p1232.1
Publication Date (Web): July 1, 2007

Abstract

The goal of this document is to have students explore the solutions to the quantum mechanical harmonic oscillator Schrödinger equation by examining the exponential component, generating the various Hermite polynomials, and then creating the final HO wave functions as a product of a normalization factor, the exponential component, and a Hermite polynomial.

Keywords (Audience):

Upper-Division Undergraduate

Keywords (Domain):

Physical Chemistry

Keywords (Feature):

JCE SymMath: Symbolic Mathematics in Chemistry

Keywords (Pedagogy):

Computer-Based Learning

Keywords (Subject):

Chemometrics
View: Hi-Res PDF | PDF w/ Links

Tools

SciFinder Links

SciFinder subscribers: Click to sign in | Not a SciFinder subscriber? Learn more at www.cas.org

Explore by:

History

  • Received: August 03, 2009

Recommend & Share

  • Share on ACS NetworkACS Network
  • Add to FacebookFacebook
  • Tweet ThisTweet This
  • Add to CiteULikeCiteULike
  • Add to NewsvineNewsvine
  • Digg ThisDigg This
  • Add to DeliciousDelicious

Related Content