dorsal/arxiv
View SchemaQuantum Mechanics as an Approximation to Classical Mechanics in Hilbert Space
| Authors | A. J. Bracken |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210164 |
| URL | https://arxiv.org/abs/quant-ph/0210164 |
| Journal | J. Phys. A 36 (2003), L329-L335 |
Abstract
Classical mechanics is formulated in complex Hilbert space with the introduction of a commutative product of operators, an antisymmetric bracket, and a quasidensity operator. These are analogues of the star product, the Moyal bracket, and the Wigner function in the phase space formulation of quantum mechanics. Classical mechanics can now be viewed as a deformation of quantum mechanics. The forms of semiquantum approximations to classical mechanics are indicated.
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"abstract": "Classical mechanics is formulated in complex Hilbert space with the\nintroduction of a commutative product of operators, an antisymmetric bracket,\nand a quasidensity operator. These are analogues of the star product, the Moyal\nbracket, and the Wigner function in the phase space formulation of quantum\nmechanics. Classical mechanics can now be viewed as a deformation of quantum\nmechanics. The forms of semiquantum approximations to classical mechanics are\nindicated.",
"arxiv_id": "quant-ph/0210164",
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"A. J. Bracken"
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"journal_ref": "J. Phys. A 36 (2003), L329-L335",
"title": "Quantum Mechanics as an Approximation to Classical Mechanics in Hilbert Space",
"url": "https://arxiv.org/abs/quant-ph/0210164"
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