- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- UBC Theses and Dissertations /
- Boundary perturbations of some eigenvalue problems
Open Collections
UBC Theses and Dissertations
UBC Theses and Dissertations
Boundary perturbations of some eigenvalue problems Julius, Robert Stanely
Abstract
In treating so-called "bounded quantum mechanical problems" one is generally led to difficult eigenvalue problems. For example, the problem of finding the wave equation for a hydrogen atom confined to a sphere of finite radius leads one to finding solutions of Laguerre's equation which vanish for given finite values of the independent variable. In this thesis we discuss three such problems in some detail. Since 1937 a number of papers on these problems have appeared; we describe here the principal methods of these papers, and improve one of them. We then develop a new method which is sufficiently general to treat each problem, and which can be established rigorously in each case. This method provides us with asymptotic expressions for the perturbed eigenvalues.
Item Metadata
Title |
Boundary perturbations of some eigenvalue problems
|
Creator | |
Publisher |
University of British Columbia
|
Date Issued |
1956
|
Description |
In treating so-called "bounded quantum mechanical problems" one is generally led to difficult eigenvalue problems. For example, the problem of finding the wave equation for a hydrogen atom confined to a sphere of finite radius leads one to finding solutions of Laguerre's equation which vanish for given finite values of the independent variable. In this thesis we discuss three such problems in some detail.
Since 1937 a number of papers on these problems have appeared; we describe here the principal methods of these papers, and improve one of them. We then develop a new method which is sufficiently general to treat each problem, and which can be established rigorously in each case. This method provides us with asymptotic expressions for the perturbed eigenvalues.
|
Genre | |
Type | |
Language |
eng
|
Date Available |
2012-02-03
|
Provider |
Vancouver : University of British Columbia Library
|
Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
|
DOI |
10.14288/1.0080645
|
URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
|
Campus | |
Scholarly Level |
Graduate
|
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.