Torus as phase space: Weyl quantization, dequantization and Wigner formalism
Mathematical Physics
2014-10-14 v1 math.MP
Quantum Physics
Abstract
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.
Cite
@article{arxiv.1409.3345,
title = {Torus as phase space: Weyl quantization, dequantization and Wigner formalism},
author = {Marilena Ligabò},
journal= {arXiv preprint arXiv:1409.3345},
year = {2014}
}