A Deformation Quantization Theory for Non-Commutative Quantum Mechanics
We show that the deformation quantization of non-commutative quantum mechanics previously considered by Dias and Prata can be expressed as a Weyl calculus on a double phase space. We study the properties of the star-product thus defined, and prove a spectral theorem for the star-genvalue equation us...
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| Main Authors | , , , |
| Format | Paper Journal Article |
| Language | English |
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06.11.2009
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| Abstract | We show that the deformation quantization of non-commutative quantum mechanics previously considered by Dias and Prata can be expressed as a Weyl calculus on a double phase space. We study the properties of the star-product thus defined, and prove a spectral theorem for the star-genvalue equation using an extension of the methods recently initiated by de Gosson and Luef. |
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| AbstractList | J.Math.Phys.51:072101,2010 We show that the deformation quantization of non-commutative quantum
mechanics previously considered by Dias and Prata can be expressed as a Weyl
calculus on a double phase space. We study the properties of the star-product
thus defined, and prove a spectral theorem for the star-genvalue equation using
an extension of the methods recently initiated by de Gosson and Luef. We show that the deformation quantization of non-commutative quantum mechanics previously considered by Dias and Prata can be expressed as a Weyl calculus on a double phase space. We study the properties of the star-product thus defined, and prove a spectral theorem for the star-genvalue equation using an extension of the methods recently initiated by de Gosson and Luef. |
| Author | Dias, N C Prata, J N de Gosson, M A Luef, F |
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| BackLink | https://doi.org/10.48550/arXiv.0911.1209$$DView paper in arXiv https://doi.org/10.1063/1.3436581$$DView published paper (Access to full text may be restricted) |
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| DOI | 10.48550/arxiv.0911.1209 |
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| Snippet | We show that the deformation quantization of non-commutative quantum mechanics previously considered by Dias and Prata can be expressed as a Weyl calculus on a... J.Math.Phys.51:072101,2010 We show that the deformation quantization of non-commutative quantum mechanics previously considered by Dias and Prata can be... |
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| Title | A Deformation Quantization Theory for Non-Commutative Quantum Mechanics |
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