Spontaneous Violation of Lorentz Symmetry, Non-Commutativity and Kaluza-Klein Scenario for a Relativistic Scalar Particle.

Name: Érico Vinicius Bezerra Leite
Type: PhD thesis
Publication date: 04/12/2020

Namesort descending Role
Humberto Belich Junior Advisor *

Examining board:

Namesort descending Role
Fernando Néspoli Nassar Pansini Internal Examiner *
Humberto Belich Junior Advisor *
Knut Bakke Filho External Examiner *
Marcelo Batista Hott External Examiner *
Ricardo Luis Lima Vitoria Co advisor *
Wendel Silva Paz Internal Examiner *

Summary: In this work we initially investigated an anisotropic space scenario generated by a term from a spontaneous break in Lorentz symmetry and allows an extension of the standard model. Another possibility of violation of this type appears in non-commutative theories, also promoting a deformed Heisenberg algebra associated with a minimum length. Next, we analyze three cases for a relativistic scalar particle in a Kaluza-klein theory scenario. In the first case, we analyzed the Aharonov-Bohm effect for linked states, WHERE the particle was subject to a Coulomb-type potential. In a second scenario, the particle was subject to the Klein- Gordon oscillator and to a Cornell-type potential. We obtained analytically the energy spectrum for the particle in this case and for the particular cases, WHERE the particle was in
uenced by a Coulomb-type potential and then by a linear potential. In the latter case, we study a particle in a non-inertial frame, but initially it is not found in a Kaluza-Klein theory. In a particular case, the particle is in a region limited by cylindrical surfaces and under the effect of a hardwall potential In addition, we have the case of the position-dependent particle interacting with a Coulomb-type potential. And, finally, we deal with the Klein-Gordon oscillator, in a frame rotating in Kaluza-Klein space-time.

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