dorsal/arxiv
View SchemaReduced phase space quantization
| Authors | P. Chingangbam, Pankaj Sharan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9910049 |
| URL | https://arxiv.org/abs/quant-ph/9910049 |
Abstract
We examine two singular Lagrangian systems with constraints which apparently reduce the phase space to a 2-dimensional sphere and a 2-dimensional hyperboloid. Rigorous constraint analysis by Dirac's method, however, gives 2-dimensional open disc and an infinite plane with a hole in the centre respectively as the reduced phase spaces. Upon canonical quantisation the classical constraints show up as restrictions on the Hilbert space.
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"abstract": "We examine two singular Lagrangian systems with constraints which apparently\nreduce the phase space to a 2-dimensional sphere and a 2-dimensional\nhyperboloid. Rigorous constraint analysis by Dirac\u0027s method, however, gives\n2-dimensional open disc and an infinite plane with a hole in the centre\nrespectively as the reduced phase spaces. Upon canonical quantisation the\nclassical constraints show up as restrictions on the Hilbert space.",
"arxiv_id": "quant-ph/9910049",
"authors": [
"P. Chingangbam",
"Pankaj Sharan"
],
"categories": [
"quant-ph"
],
"title": "Reduced phase space quantization",
"url": "https://arxiv.org/abs/quant-ph/9910049"
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