Analytic Structure of the S-Matrix for Singular Quantum Mechanics

Analytic Structure of the S-Matrix for Singular Quantum Mechanics

J. Math. Phys. 56 (2015) 062105 The analytic structure of the S-matrix of singular quantum mechanics is examined within a multichannel framework, with primary focus on its dependence with respect to a parameter ($\Omega$) that determines the boundary conditions. Specifically, a characterization is g...

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Bibliographic Details
Main Authors: Camblong, Horacio E, Epele, Luis N, Fanchiotti, Huner, Canal, Carlos A. Garcia
Format: Journal Article
Language:English
Published: 12-06-2015
Subjects:
Mathematics - Mathematical Physics
Physics - High Energy Physics - Theory
Physics - Mathematical Physics
Physics - Quantum Physics
Online Access:Get full text
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Summary:J. Math. Phys. 56 (2015) 062105 The analytic structure of the S-matrix of singular quantum mechanics is examined within a multichannel framework, with primary focus on its dependence with respect to a parameter ($\Omega$) that determines the boundary conditions. Specifically, a characterization is given in terms of salient mathematical and physical properties governing its behavior. These properties involve unitarity and associated current-conserving Wronskian relations, time-reversal invariance, and Blaschke factorization. The approach leads to an interpretation of effective nonunitary solutions in singular quantum mechanics and their determination from the unitary family.
DOI:10.48550/arxiv.1411.4371