Analytic structure of the S-matrix for singular quantum mechanics

Journal Article · Mon Jun 15 00:00:00 EDT 2015 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4921174· OSTI ID:22403153

Camblong, Horacio E. ^[1]; Epele, Luis N.; Fanchiotti, Huner; García Canal, Carlos A. ^[2]

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1. Department of Physics, University of San Francisco, San Francisco, California 94117-1080 (United States)
2. Laboratorio de Física Teórica, Departamento de Física, IFLP, CONICET, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 67–1900 La Plata (Argentina)

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.

• OSTI ID: 22403153
• Journal Information: Journal of Mathematical Physics, Vol. 56, Issue 6; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FACTORIZATION
MATHEMATICAL SOLUTIONS
PHYSICAL PROPERTIES
QUANTUM MECHANICS
S MATRIX
T INVARIANCE
UNITARITY