Branched Quantization
Name
Shapere-2012-Branched quantization.pdf
Size
115.76 KB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Shapere, Alfred
Wilczek, Frank
Date Issued
November 2012
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Shapere, Alfred, and Frank Wilczek. “Branched Quantization.” Physical Review Letters 109.20 (2012). © 2012 American Physical Society
Version
Final published version
Abstract
We propose a method for quantization of Lagrangians for which the Hamiltonian, as a function of momentum, is a branched function, possibly with cusps. Appropriate boundary conditions, which we identify, ensure unitary time evolution. In special cases a dual (canonical) transformation maps the problem into a problem of quantum mechanics on singular spaces, which we also develop. Several possible applications are indicated.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.109.200402
