Thursday, July 4, 2013

1307.0834 (Horacio E. Camblong et al.)

Multichannel Framework for Singular Quantum Mechanics    [PDF]

Horacio E. Camblong, Luis N. Epele, Huner Fanchiotti, Carlos A. Garcia Canal, Carlos R. Ordonez
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.
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