Semiclassical quantization methods for time-periodic systems

• Grant number: 94/00645-9
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: June 01, 1994
• End date: May 31, 1995
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Frank Bensch
• Grantee: Frank Bensch
• Host Institution: Instituto de Física Gleb Wataghin (IFGW). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

It is intended to study time-periodic systems. Gennerically the classical mechanics of such systems includes chaotic motion even for only one spatial degree of freedom. Common examples are multiphoton ionization, the kicking of molecules by short laser pulses or beam-beam interactions in particle storage rings. The proper quantum mechanical description of these systems involves Floquet states. The intended work includes the quantization of resonance the semiclassical quantization, generalizing the Gutzwiller periodic orbit theory and the study of spatio-temporal correspondence between classical densities and quantum mechanical densities of Floquet states. (AU)