Torus as phase space: Weyl quantization, dequantization, and Wigner formalism
Journal Article
·
· Journal of Mathematical Physics
- Dipartimento di Matematica, Università di Bari, I-70125 Bari (Italy)
The Weyl quantization of classical observables on the torus (as phase space) without regularity assumptions is explicitly computed. The equivalence class of symbols yielding the same Weyl operator is characterized. The Heisenberg equation for the dynamics of general quantum observables is written through the Moyal brackets on the torus and the support of the Wigner transform is characterized. Finally, a dequantization procedure is introduced that applies, for instance, to the Pauli matrices. As a result we obtain the corresponding classical symbols.
- OSTI ID:
- 22596445
- Journal Information:
- Journal of Mathematical Physics, Vol. 57, Issue 8; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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