Sistemas gaussianos não-autônomos: aplicação à cosmologia

• Ano de defesa: 2009
• Autor(a) principal: Fernando Michell Falieri Nogueira
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Minas Gerais; UFMG
• Palavras-chave em Português: Cosmologia; Mecânica quântica; Estados gaussianos; Campo escalar quantizado; Sistemas dinâmicos; Física
• Link de acesso: http://hdl.handle.net/1843/ESCZ-7YUH2P

In this work a connection between dynamical quantum mechanical systems and scalar quantum field theory is built. Is verified that the Covariance Matrixs determinant is a time conserved quantity for Gaussian Systems under non autonomous Hamiltonians, and the generalizations for N and infinity dimensions is presented. Two cosmological models for the pre-heating period are treated, and a close connection between the Wigner function, squeezing and particle creation is found. A geometrical interpretation for the dynamics of the pre-heating is made possible, just as a experimental set up for testing cosmological hypothesis.