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- Green's functions for intial value problems
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UBC Theses and Dissertations
Green's functions for intial value problems Trumpler, Donald Alastair
Abstract
A method is given by which a-differential equation with initial conditions can be converted into an integral equation. This procedure is used to derive the Multiplication Theorems for Bessel functions, and to obtain an expansion of the confluent hyper geometric function in terms, of Bessel functions. The method is adapted to find approximate eigenvalues: and eigenfunctions of bounded quantum mechanical problems, and to obtain an approximate solution of a non-linear differential equation.
Item Metadata
| Title |
Green's functions for intial value problems
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
1953
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| Description |
A method is given by which a-differential equation with initial conditions can be converted into an integral equation. This procedure is used to derive the Multiplication Theorems for Bessel functions, and to obtain an expansion of the confluent hyper geometric function in terms, of Bessel functions. The method is adapted to find approximate eigenvalues: and eigenfunctions of bounded quantum mechanical problems, and to obtain an approximate solution of a non-linear differential equation.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2012-02-17
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| Provider |
Vancouver : University of British Columbia Library
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| 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.
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| DOI |
10.14288/1.0080657
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
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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.