CANONICAL AND HAMILTONIAN FORMALISM APPLIED TO THE STURM-LIOUVILLE EQUATION
Journal Article
·
· Quart. Appl. Math.
OSTI ID:4838863
The Sturm-Liouville equation is expressed in Hamiltonian form. A simple generating function was derived which defines a large class of canonical transformations and reduces the Sturm-Liouville equation to the solution of a first order equation with a single unknown. The method was developed with particular reference to the wave equation. Some new transformations were obtained, useful in the turning point region and for improvement of accuracy in the region of validity of W.K.B. solutions. In addition, a new power series expansion near the turning point was obtained. (auth)
- Research Organization:
- Shell Development Co., New York; Columbia Univ., Dobbs Ferry, N.Y.
- NSA Number:
- NSA-16-020942
- OSTI ID:
- 4838863
- Journal Information:
- Quart. Appl. Math., Journal Name: Quart. Appl. Math. Vol. Vol: 18
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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