Branched quantization

Alfred Shapere; Frank Wilczek

doi:10.1103/PhysRevLett.109.200402

Branched quantization

Alfred Shapere, Frank Wilczek

Physics And Astronomy

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

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.

Original language	English
Article number	200402
Journal	Physical Review Letters
Volume	109
Issue number	20
DOIs	https://doi.org/10.1103/PhysRevLett.109.200402
State	Published - Nov 13 2012

Funding

Funders	Funder number
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China	0970069, 0855614

ASJC Scopus subject areas

General Physics and Astronomy

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10.1103/PhysRevLett.109.200402

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Branched quantization

Abstract

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ASJC Scopus subject areas

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