Analytic structure of the S-matrix for singular quantum mechanics

H.CAMBLONG; H. FANCHIOTTI; L.N. EPELE; C.A. GARCÍA CANAL

JOURNAL OF MATHEMATICAL PHYSICS

AMER INST PHYSICS

Lugar: New York; Año: 2015 vol. 56 p. 62105 - 621057

0022-2488

The analytic structure of the S-matrix of singular quantum mechanics is examinedwithin a multichannel framework, with primary focus on its dependence with respectto a parameter (Ω) that determines the boundary conditions. Specifically, a characterizationis given in terms of salient mathematical and physical properties governing itsbehavior. These properties involve unitarity and associated current-conserving Wronskianrelations, time-reversal invariance, and Blaschke factorization. The approachleads to an interpretation of effective nonunitary solutions in singular quantum mechanicsand their determination from the unitary family