Multichannel Framework for Singular Quantum Mechanics
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.
Cite
@article{arxiv.1307.0834,
title = {Multichannel Framework for Singular Quantum Mechanics},
author = {Horacio E. Camblong and Luis N. Epele and Huner Fanchiotti and Carlos A. Garcia Canal and Carlos R. Ordonez},
journal= {arXiv preprint arXiv:1307.0834},
year = {2013}
}
Comments
28 pages, 3 figures. v2: conforms to the published version---notice style file was changed; significantly expanded Section 2 plus added miscellaneous explanatory comments in all sections; equations and references added; and several typos (including in equations) corrected