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arXiv · 1307.0834

Multichannel Framework for Singular Quantum Mechanics

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

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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Horacio E. Camblong, Luis N. Epele, Huner Fanchiotti, Carlos A. Garcia Canal, Carlos R. Ordonez. 2013-07-02. Multichannel Framework for Singular Quantum Mechanics. https://doi.org/10.1016/j.aop.2013.10.005

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