ANALYTICAL PROPERTIES OF S MATRIX AND UNIQUENESS OF THE SCATTERING POTENTIAL
The Schrodinger equation with the complex momentum k leads to an S matrix with very simple analytical properties. It differs from the conventioal S matrix as little as one wishes on the real k axis, but it has, in general, completely different analytical behavior outside the real axis. The present formulation removes some of the unsatisfactory features of the conventional formalism in the sense that no redundant poles can occur and a phase shift determines the scattering potential uniquely. The complex analytical behavior of the a matrix, in particular at infinity, is discussed and the theory is extended to Klein-Gordon and Dirac equations with central potential. (auth)
- Research Organization:
- Syracuse Univ., N.Y.
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-15-014958
- OSTI ID:
- 4049359
- Journal Information:
- J. Math Phys., Vol. Vol: 2; Other Information: Orig. Receipt Date: 31-DEC-61
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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