dorsal/arxiv
View SchemaA Modification of Nambu's Mechanics
| Authors | Peter Varga |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9701006 |
| URL | https://arxiv.org/abs/quant-ph/9701006 |
Abstract
The Poisson, contact and Nambu brackets define algebraic structures on $C^{\infty}(M)$ satisfying the Jacobi identity or its generalization. The automorphism groups of these brackets are the symplectic, contact and volume preserving diffeomorphism groups. We introduce a modification of the Nambu bracket, which defines an evolution equation generating the whole diffeomorphism group. The relation between the modified and usual Nambu brackets is similar to the relation between the Poisson and contact structures. We briefly discuss the problem of quantization of the modified bracket.
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"abstract": "The Poisson, contact and Nambu brackets define algebraic structures on\n$C^{\\infty}(M)$ satisfying the Jacobi identity or its generalization. The\nautomorphism groups of these brackets are the symplectic, contact and volume\npreserving diffeomorphism groups. We introduce a modification of the Nambu\nbracket, which defines an evolution equation generating the whole\ndiffeomorphism group. The relation between the modified and usual Nambu\nbrackets is similar to the relation between the Poisson and contact structures.\nWe briefly discuss the problem of quantization of the modified bracket.",
"arxiv_id": "quant-ph/9701006",
"authors": [
"Peter Varga"
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"categories": [
"quant-ph",
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"title": "A Modification of Nambu\u0027s Mechanics",
"url": "https://arxiv.org/abs/quant-ph/9701006"
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