Deformation Quantization of Confined Systems
摘要
The Weyl-Wigner formulation of quantum confined systems poses several interesting problems. The energy stargenvalue equation, as well as the dynamical equation does not display the expected solutions. In this paper we review some previous results in the subject and add some new contributions. We reformulate the confined energy eigenvalue equation by adding to the Hamiltonian a new (distributional) boundary potential. The new Hamiltonian is proved to be globally defined and self-adjoint. Moreover, it yields the correct Weyl-Wigner formulation of the confined system.
引用
@article{arxiv.quant-ph/0612022,
title = {Deformation Quantization of Confined Systems},
author = {Nuno Costa Dias and Joao Nuno Prata},
journal= {arXiv preprint arXiv:quant-ph/0612022},
year = {2011}
}
备注
6 pages, Latex file, Presented by N.C. Dias at the Workshop on Advances in Foundations of Quantum Mechanics and Quantum Information with atoms and photons, 2-5 May 2006, Turin, Italy