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. / Science, Faculty of / Mathematics, Department of / Graduate
| Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/40784 |
| Date | January 1953 |
| Creators | Trumpler, Donald Alastair |
| Publisher | University of British Columbia |
| Source Sets | University of British Columbia |
| Language | English |
| Detected Language | English |
| Type | Text, Thesis/Dissertation |
| 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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