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Multichannel framework for singular quantum mechanics
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DOI：10.1016/j.aop.2013.10.005.png)
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Abstract
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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. (C) 2013 Elsevier Inc. All rights reserved.
Keywords:
Singular quantum mechanics
S-matrix
Renormalization
Unitarity
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