Branched Quantization
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 proble...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2012
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| Online Access: | http://hdl.handle.net/1721.1/75432 https://orcid.org/0000-0002-6489-6155 |
| _version_ | 1826203469029048320 |
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| author | Shapere, Alfred Wilczek, Frank |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Shapere, Alfred Wilczek, Frank |
| author_sort | Shapere, Alfred |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T12:37:49Z |
| format | Article |
| id | mit-1721.1/75432 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:37:49Z |
| publishDate | 2012 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/754322022-10-01T10:07:51Z Branched Quantization Shapere, Alfred Wilczek, Frank Massachusetts Institute of Technology. Department of Physics Wilczek, Frank 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. United States. Dept. of Energy (Grant DE-FG02-05ER41360) 2012-12-12T19:28:24Z 2012-12-12T19:28:24Z 2012-11 2012-09 Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/75432 Shapere, Alfred, and Frank Wilczek. “Branched Quantization.” Physical Review Letters 109.20 (2012). © 2012 American Physical Society https://orcid.org/0000-0002-6489-6155 en_US http://dx.doi.org/10.1103/PhysRevLett.109.200402 Physical Review Letters 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. application/pdf American Physical Society APS |
| spellingShingle | Shapere, Alfred Wilczek, Frank Branched Quantization |
| title | Branched Quantization |
| title_full | Branched Quantization |
| title_fullStr | Branched Quantization |
| title_full_unstemmed | Branched Quantization |
| title_short | Branched Quantization |
| title_sort | branched quantization |
| url | http://hdl.handle.net/1721.1/75432 https://orcid.org/0000-0002-6489-6155 |
| work_keys_str_mv | AT shaperealfred branchedquantization AT wilczekfrank branchedquantization |