Go to  Advanced Search

On the quantum mechanical problem of a particle in two potential minima

Show full item record

Files in this item

Files Size Format Description   View
UBC_1948_A8 C2 O6.pdf 2.613Mb Adobe Portable Document Format   View/Open
 
Title: On the quantum mechanical problem of a particle in two potential minima
Author: Carter, David Southard
Degree Master of Arts - MA
Program Physics
Copyright Date: 1948
Subject Keywords Quantum theory
Abstract: The problem of a particle in two adjacent one-dimensional rectangular, potential "boxes" is an exactly soluble representative of a class of two-minima problems of considerable physical interest which have not been solved exactly. It therefore affords a valuable opportunity for a critical examination of the extent of applicability of perturbation theory methods to such problems. An exact implicit solution of the problem is obtained, and is reduced to explicit approximate form in two important special cases. These approximations are reproduced by perturbation theory methods, and their ranges of validity are demonstrated by comparison with the exact solution. The application of the model to a physical system is demonstrated by using the identical two-box problem as a basis for calculation of some constants of the ammonia molecule.
URI: http://hdl.handle.net/2429/41659
Series/Report no. UBC Retrospective Theses Digitization Project [http://www.library.ubc.ca/archives/retro_theses/]
Scholarly Level: Graduate

This item appears in the following Collection(s)

Show full item record

All items in cIRcle are protected by copyright, with all rights reserved.

UBC Library
1961 East Mall
Vancouver, B.C.
Canada V6T 1Z1
Tel: 604-822-6375
Fax: 604-822-3893