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Title: ANALYTICAL PROPERTIES OF S MATRIX AND UNIQUENESS OF THE SCATTERING POTENTIAL

Abstract

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)

Authors:
;
Publication Date:
Research Org.:
Syracuse Univ., N.Y.
Sponsoring Org.:
USDOE
OSTI Identifier:
4049359
NSA Number:
NSA-15-014958
Resource Type:
Journal Article
Journal Name:
J. Math Phys.
Additional Journal Information:
Journal Volume: Vol: 2; Other Information: Orig. Receipt Date: 31-DEC-61
Country of Publication:
Country unknown/Code not available
Language:
English
Subject:
PHYSICS; DIFFERENTIAL EQUATIONS; DIRAC EQUATIONS; ELEMENTARY PARTICLES; INTERACTIONS; MATRICES; MOMENTUM; MOTION; PHASE SHIFT; QUANTUM MECHANICS; RELATIVITY THEORY; S-MATRIX; SCATTERING; SCHROEDINGER EQUATION; SPIN

Citation Formats

Barut, A O, and Ruei, K H. ANALYTICAL PROPERTIES OF S MATRIX AND UNIQUENESS OF THE SCATTERING POTENTIAL. Country unknown/Code not available: N. p., 1961. Web. doi:10.1063/1.1703697.
Barut, A O, & Ruei, K H. ANALYTICAL PROPERTIES OF S MATRIX AND UNIQUENESS OF THE SCATTERING POTENTIAL. Country unknown/Code not available. https://doi.org/10.1063/1.1703697
Barut, A O, and Ruei, K H. 1961. "ANALYTICAL PROPERTIES OF S MATRIX AND UNIQUENESS OF THE SCATTERING POTENTIAL". Country unknown/Code not available. https://doi.org/10.1063/1.1703697.
@article{osti_4049359,
title = {ANALYTICAL PROPERTIES OF S MATRIX AND UNIQUENESS OF THE SCATTERING POTENTIAL},
author = {Barut, A O and Ruei, K H},
abstractNote = {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)},
doi = {10.1063/1.1703697},
url = {https://www.osti.gov/biblio/4049359}, journal = {J. Math Phys.},
number = ,
volume = Vol: 2,
place = {Country unknown/Code not available},
year = {Wed Mar 01 00:00:00 EST 1961},
month = {Wed Mar 01 00:00:00 EST 1961}
}