| DC Field | Value | Language |
|---|
| dc.contributor.advisor | Santana, Ademir Eugênio de | - |
| dc.contributor.author | Petronilo, Gustavo Xavier Antunes | - |
| dc.date.accessioned | 2024-08-05T19:43:49Z | - |
| dc.date.available | 2024-08-05T19:43:49Z | - |
| dc.date.issued | 2024-08-05 | - |
| dc.date.submitted | 2024-03-07 | - |
| dc.identifier.citation | PETRONITO, Gustavo Xavier Antunes. Conformal Field Theories in Symplectic Manifolds. 2024. 128 f. il. Tese (Doutorado em Física) — Universidade de Brasília, Brasília, 2024. | pt_BR |
| dc.identifier.uri | http://repositorio.unb.br/handle/10482/49527 | - |
| dc.description | Tese (doutorado em Física) — Universidade de Brasília, Brasília, 2024. | pt_BR |
| dc.language.iso | eng | pt_BR |
| dc.rights | Acesso Aberto | pt_BR |
| dc.title | Conformal Field Theories in Symplectic Manifolds | pt_BR |
| dc.type | Tese | pt_BR |
| dc.subject.keyword | Mecânica quântica | pt_BR |
| dc.subject.keyword | Função de Wigner | pt_BR |
| dc.contributor.advisorco | Ulhoa, Sérgio Costa | - |
| dc.description.abstract1 | This work investigates the notion of a conformal group and derives a representation
for symplectic quantum mechanics in the Galilean manifold, G, in a consistent manner
using the Wigner function method. We study two non-Lorentzian conformal symmetries:
the Conformal Carrollian group and the Sch¨odinger group. A symplectic Hilbert space
is built and unitary operators representing translations and rotations are studied, whose
generators fulfill the Lie algebra in G. The Schr¨odinger (Klein-Gordon-like) equation for
the wave functions in phase space is derived from this representation, where the variables
have the contents of position and linear momentum. By means of the Moyal product,
wave functions are linked to the Wigner function, so symbolizing a quasi-amplitude of
probability. We establish the explicitly covariant form of the Levy-Leblond (Dirac-like)
equation in phase-space. In conclusion, we demonstrate how the five-dimensional phase space formalism and the standard formalism are equivalent. We next provide a solution
that restores the standard (non-covariant) form of the Pauli-Schr¨odinger problem in phase space. We investigate the non-relativistic part of the Stefan-Boltzmann law and the Casimir
effect for the spin 0 and spin 1/2 particles with thermofield dynamics, also within the
framework of Galilean covariance. | pt_BR |
| dc.description.unidade | Instituto de Física (IF) | pt_BR |
| dc.description.ppg | Programa de Pós-Graduação em Física | pt_BR |
| Appears in Collections: | Teses, dissertações e produtos pós-doutorado
|
