NotesFAQContact Us
Search Tips
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ825826
Record Type: Journal
Publication Date: 2008-Mar
Pages: 5
Abstractor: As Provided
Reference Count: 20
ISSN: ISSN-0021-9584
The Harmonic Oscillator with a Gaussian Perturbation: Evaluation of the Integrals and Example Applications
Earl, Boyd L.
Journal of Chemical Education, v85 n3 p453-457 Mar 2008
A general result for the integrals of the Gaussian function over the harmonic oscillator wavefunctions is derived using generating functions. Using this result, an example problem of a harmonic oscillator with various Gaussian perturbations is explored in order to compare the results of precise numerical solution, the variational method, and perturbation theory. This model problem will provide instructors of quantum chemistry with an additional example for instructional use. An additional example in which a potential of this form is used to model the ammonia vibrational spectrum is included in summary form. (Contains 3 tables.)
Division of Chemical Education of the American Chemical Society. Subscription Department, P.O. Box 1267, Bellmawr, NJ 08099-1267. Tel: 800-691-9846; Tel: 856-931-5825; Fax: 856-931-4115; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A