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

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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
Issue Date: 2012-03-21
Publisher University of British Columbia
Series/Report no. UBC Retrospective Theses Digitization Project [http://www.library.ubc.ca/archives/retro_theses/]
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.
Affiliation: Science, Faculty of
URI: http://hdl.handle.net/2429/41659
Scholarly Level: Graduate

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