Coupled coherente states with complex trajectories

Author(s)

Matheus Veronez

• Document type: Master's Dissertation
• Press: Campinas, SP.
• Institution: Universidade Estadual de Campinas (UNICAMP). Instituto de Física Gleb Wataghin
• Defense date: 2011-10-31

Examining board members

Marcus Aloizio Martinez de Aguiar; Alexandre Dias Ribeiro; Silvio Antonio Sachetto Vitiello

• Advisor: Marcus Aloizio Martinez de Aguiar

Abstract

By the end of the last century the harmonic oscillator coherent states were extensively studied as a powerful representation for doing quantum mechanics on the phase space. They were employed in the development of a more general class of path integrals which has the usual Feynman path integral as a particular case. The semiclassical limit of these path integrals involves contributions of functions evaluated on complex trajectories on the phase space. The coupled coherent states (CCS), an exact method devised for solving Schrödinger\'s equation employing a set of path guided states driven by real trajectories, has its semiclassical limit in accordance with that provided by the path integral method, respecting the differences among the trajectories each one employs. In this work we extend the range of the CCS using complex trajectory guided states and we study the complex CCS theory thus obtained (AU)

• FAPESP's process: 09/12650-4 - Initial Value Representations for the Semiclassical Propagator
• Grantee: Matheus Veronez
• Support Opportunities: Scholarships in Brazil - Master