Quantum motion of charge in electromagnetic fields in probability representation and corresponding coherent states

• Grant number: 13/02966-0
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
• Start date: April 01, 2013
• End date: March 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Dmitri Maximovitch Guitman
• Grantee: Alberto Silva Pereira
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 12/00333-7 - Problems in quantum mechanics and quantum field theory with strong backgrounds and in noncommutative spacetimes, AP.TEM

Abstract

In the following research coherent and Fock states of a charge moving in different types of electromagnetic fields will be expressed in terms of quantum tomograms. The cases of constant electric field, constant magnetic field, time-dependent electric field and time-dependent electromagnetic field will be considered. For a charge moving in constant and in varying electromagnetic fields symplectic and optical tomograms will be found. Also in terms of tomographic probability representation will be considered some important problems of quantum mechanics. Parametric excitation of charge states in magnetic field by varying electric field and by varying magnetic field will be considered and transition probability for multidimensional charge system in probability representation will be found. The obtained results will be generalized to a multidimensional case. It will be calculated multidimensional tomogram for several charges moving in magnetic time-varying field. (AU)

Academic Publications

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

PEREIRA, Alberto Silva. Coherent states for Hamiltonians quadratic in general form. 2016. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Física (IF/SBI) São Paulo.