Branched Quantization

Author(s)
Shapere, Alfred; Wilczek, Frank
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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.
Date issued
2012-11
URI
http://hdl.handle.net/1721.1/75432
Department
Massachusetts Institute of Technology. Department of Physics
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
ISSN
0031-9007
1079-7114
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