dorsal/arxiv
View SchemaImproved Hamilton-Jacobi Quantization for Nonholonomic Constrained System
| Authors | Soon-Tae Hong, Won Tae Kim, Yong-Wan Kim, Young-Jai Park |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0109032 |
| URL | https://arxiv.org/abs/quant-ph/0109032 |
Abstract
The nonholonomic constrained system with second-class constraints is investigated using the Hamilton-Jacobi (HJ) quantization scheme to yield the complete equations of motion of the system. Although the integrability conditions in the HJ scheme are equivalent to the involutive relations for the first-class constrained system in the improved Dirac quantization method (DQM), one should elaborate the HJ scheme by using the improved DQM in order to obtain the first-class Hamiltonian and the corresponding effective Lagrangian having the BRST invariant nonholonomic constrained system.
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"abstract": "The nonholonomic constrained system with second-class constraints is\ninvestigated using the Hamilton-Jacobi (HJ) quantization scheme to yield the\ncomplete equations of motion of the system. Although the integrability\nconditions in the HJ scheme are equivalent to the involutive relations for the\nfirst-class constrained system in the improved Dirac quantization method (DQM),\none should elaborate the HJ scheme by using the improved DQM in order to obtain\nthe first-class Hamiltonian and the corresponding effective Lagrangian having\nthe BRST invariant nonholonomic constrained system.",
"arxiv_id": "quant-ph/0109032",
"authors": [
"Soon-Tae Hong",
"Won Tae Kim",
"Yong-Wan Kim",
"Young-Jai Park"
],
"categories": [
"quant-ph"
],
"title": "Improved Hamilton-Jacobi Quantization for Nonholonomic Constrained System",
"url": "https://arxiv.org/abs/quant-ph/0109032"
},
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