Analytic structure of the S-matrix for singular quantum mechanics

作者:Camblong Horacio E*; Epele Luis N; Fanchiotti Huner; Garcia C**** Carlos A
来源:Journal of Mathematical Physics, 2015, 56(6): 062105.
DOI:10.1063/1.4921174

摘要

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 (O) 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.

  • 出版日期2015-6

全文