Multichannel Framework for Singular Quantum Mechanics

HORACIO E. CAMBLONG, LUIS N. EPELE, HUNER FANCHIOTTI, CARLOS A. GARCÍA CANAL, CARLOS R. ORDÓÑEZ

ANNALS OF PHYSICS (NEW YORK)

ACADEMIC PRESS INC ELSEVIER SCIENCE

Lugar: Amsterdam; Año: 2014 vol. 240 p. 267 - 292

0003-4916

A multichannel S-matrix framework for singular quantum mechanics (SQM) subsumes the renormalization and self-adjoint extension methods and resolves its boundary-condition ambiguities. In addition to the standard channel accessible to a distant (?asymptotic?) observer, one supplementary channel opens up at each coordinate singularity, where local outgoing and ingoing singularity waves coexist. The channels are linked by a fully unitary S-matrix, which governs all possible scenarios, including cases with an apparent nonunitary behavior as viewed from asymptotic distances.