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ERIC Number: EJ829006
Record Type: Journal
Publication Date: 2007-Mar
Pages: 13
Abstractor: As Provided
Reference Count: 30
ISBN: N/A
ISSN: ISSN-0143-0807
Overcoming Misconceptions in Quantum Mechanics with the Time Evolution Operator
Quijas, P. C. Garcia; Aguilar, L. M. Arevalo
European Journal of Physics, v28 n2 p147-159 Mar 2007
Recently, there have been many efforts to use the research techniques developed in the field of physics education research to improve the teaching and learning of quantum mechanics. In particular, part of this research is focusing on misconceptions held by students. For instance, a set of misconceptions is associated with the concept of stationary states. In this paper, we argue that a possible way to remove these is to solve the Schrodinger equation using the evolution operator method (EOM), and stress the fact that to find stationary states is only the first step in solving that equation. The EOM consists in solving the Schrodinger equation by direct integration, i.e. [psi](x, t) = U(t)[psi](x, 0), where U(t) = e[superscript -itH/h] is the time evolution operator, and [psi](x, 0) is the initial state. We apply the evolution operator method in the case of the harmonic oscillator. (Contains 5 figures.)
Institute of Physics Publishing. The Public Ledger Building Suite 929, 150 South Independence Mall West, Philadelphia, PA 19106. Tel: 215-627-0880; Fax: 215-627-0879; e-mail: info@ioppubusa.com; Web site: http://www.iop.org/EJ/journal/EJP
Publication Type: Journal Articles; Reports - Evaluative
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A