Quantum flow on the phase space

• Grant number: 13/02248-0
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: June 01, 2013
• End date: July 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Marcus Aloizio Martinez de Aguiar
• Grantee: Matheus Veronez
• Host Institution: Instituto de Física Gleb Wataghin (IFGW). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

In this project, we will survey the quantum and semiclassical dynamics of wave packets on the grounds of the phase space's vector flow. Up to date this flow had been studied for the Wigner function and we want to start a similar study for the Husimi distribution of quantum states, the last based on a description involving a basis of coherent states. This work will be realized with two approaches. In the first, we regard the phase space as a rigid structure where the wave packet's dynamic is developed under a continuity equation, analogous to the Schrödinger equation; and we are interested in the relations between the quantum and classical flows, because they can serve as markers of quantum phenomena. In the second approach, the phase space is built as a dynamical structure with properties inherited from its classical counterpart, thus being a good background for semiclassical analysis. (AU)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

VERONEZ, Matheus. Corrente quântica na representação de estados coerentes. 2015. Doctoral Thesis - Universidade Estadual de Campinas (UNICAMP). Instituto de Física Gleb Wataghin Campinas, SP.