Probing phase-space noncommutativity through quantum mechanics and thermodynamics of free particles and quantum rotors

Autor(es)

Santos, Jonas F. G. ^[1] ; Bernardini, Alex E. ^[1] ; Bastos, Catarina ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Sao Carlos, Dept Fis, BR-13565905 Sao Carlos, SP - Brazil

^[2] Univ Lisbon, Inst Plasmas & Fusao Nucl, Inst Super Tecn, P-1049001 Lisbon - Portugal

• Tipo de documento: Artigo Científico
• Fonte: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS; v. 438, p. 340-354, NOV 15 2015.
• Citações Web of Science: 9

Resumo

Novel quantization properties related to the state vectors and the energy spectrum of a two-dimensional system of free particles are obtained in the framework of noncommutative (NC) quantum mechanics (QM) supported by the Weyl-Wigner formalism. Besides reproducing the magnetic field aspect of a Zeeman-like effect, the momentum space NC parameter introduces mutual information properties quantified by the quantum purity related to the relevant coordinates of the corresponding Hilbert space. Supported by the QM in the phase-space, the thermodynamic limit is obtained, and the results are extended to three-dimensional systems. The noncommutativity imprints on the thermodynamic variables related to free particles are identified and, after introducing some suitable constraints to fix an axial symmetry, the analysis is extended to two- and- three dimensional quantum rotor systems, for which the quantization aspects and the deviation from standard QM results are verified. (C) 2015 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 15/05903-4 - Emaranhamento de estruturas de bi-espinores no SU(2) x SU(2) e correlações quânticas adicionais exibidas por sistemas tipo-Dirac como grafeno e íons aprisionados
• Beneficiário: Alex Eduardo de Bernardini
• Modalidade de apoio: Auxílio à Pesquisa - Regular