Deformation Quantization of Confined Systems

Details Deformation Quantization of Confined Systems Deformation Quantization of Confined Systems

2006-12-04

arxiv.org/abs/quant-ph/0612022v1

International Journal of Quantum Information, 5 (2007) 257.

Physics

Quantum Physics

6 pages, Latex file, Presented by N.C. Dias at the Workshop on Advances in Foundations of Quantum Mechanics and Quantum Inform

Scientific paper

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.

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