Exact Solutions of the Quantum Double-Square-Well Potential

TCE

The Chemical Educator

ISSN: 1430-4171 (electronic version)

Table of Contents

Abstract Volume 11 Issue 6 (2006) pp 383-393

Exact Solutions of the Quantum Double-Square-Well Potential

Enrique Peacock-López

Department of Chemistry, Williams College, Williamstown, MA 01267, epeacock@williams.edu
Received January 17, 2006. Accepted May 8, 2006.

Published online: 24 October 2006

Abstract. For a symmetrical quantum double square well potential, we find analytical expressions satisfied by the quantized energies. Graphical or numerical solutions of the former relations allow us to calculate normalization constants and construct the first eight solutions of the Schrödinger equation. With these exact solutions, we analyze quantum tunneling across a potential barrier and compare our results with the experimental data for ammonia.

Key Words: In the Classroom; physical chemistry; quantum

(*) Corresponding author. (E-mail: epeacock@williams.edu)

Article in PDF format (353 KB) HTML format