Banca de DEFESA: PEDRO DAVI MATOS PEREIRA
Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.DISCENTE : PEDRO DAVI MATOS PEREIRA
DATA : 07/10/2021
HORA: 15:30
LOCAL: Plataforma da conferência WEB - RNP
TÍTULO:
QUANTUM MECHANICS IN PHASE SPACE AND THE YUKAWA POTENTIAL
PALAVRAS-CHAVES:
Yukawa Potential. Wigner’s Function. Sympletic Quantum Mechanics.
PÁGINAS: 151
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Física
RESUMO:
In this work we present a study on Yukawa’s potential in the formulation of the Quantum Theory in Phase Space and the determination of the Wigner Function. With these aims, we consider the system formed by a particle subject to this potential and different procedures. Initially, with the usual Quantum Theory and the approximate solutions obtained by Garavelli and Oliveira and by Hamzavi et al. we determine the corresponding Wigner Functions following the process based on the transformation proposed by Wigner. Next, with Symplectic Quantum Mechanics (SQM), we analyze the system using the Schrödinger Equation in Phase Space (SEPS) characteristic of SQM and the corresponding Wigner Function obtained from it, in two situations: (i) in the three-dimensional case, to compare with the results obtained in the first part, we use the Nikiforov-Uvarov (NU) method to solve differential equations and the star product to determine the Wigner Function; (ii) in the two-dimensional case, due to the lack of results in the literature with this potential , to compare with the case of the Coulomb potential we use the Yukawa potential approximated by an expansion to third order terms in the attenuation factor µ, the Levi-Civita transformation and the phase space perturbation theory. In all cases, the non-classicality factor is determined as a function of attenuation and its behavior analyzed in the region of critical value µc.
MEMBROS DA BANCA:
Presidente - 102.263.461-53 - JOSE DAVID MANGUEIRA VIANA - UFBA
Interno - 287748 - FERNANDO DE BRITO MOTA
Externo à Instituição - ADEMIR EUGENIO DE SANTANA - UnB