Initial Value Representations for the Semiclassical Propagator

• Grant number: 09/12650-4
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2010
• End date: July 31, 2011
• 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

We will study the time evolution of quantum states using an Initial Value Representation based on complex trajectories. This method was proposed recently by the supervisor using heuristic arguments e proved efficient and accurate. In this project we intend to present a derivation of this procedure from first principles. We also intend to apply the method to scattering by attractive potentials, where the reflected wave should be computable with the complex trajectories. Chaos will also be introduced via time dependent terms in the potential. The semiclassical results will be compared with exact calculations obtained via the Split-Time Operator method.

Academic Publications

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

VERONEZ, Matheus. Coupled coherente states with complex trajectories. 2011. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Física Gleb Wataghin Campinas, SP.