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arXiv · 1411.4371

Analytic Structure of the S-Matrix for Singular Quantum Mechanics

Horacio E. Camblong·Luis N. Epele·Huner Fanchiotti·Carlos A. Garcia Canal
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Abstract

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 ($Ω$) 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.

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Horacio E. Camblong, Luis N. Epele, Huner Fanchiotti, Carlos A. Garcia Canal. 2015-06-12. Analytic Structure of the S-Matrix for Singular Quantum Mechanics. https://doi.org/10.1063/1.4921174

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