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New problems in quantum theory of synchrotron radiation: applications of quantum analogues of Líenard-Wiechert potentials to radiation analysis

Grant number: 14/13737-4
Support type:Research Grants - Visiting Researcher Grant - International
Duration: November 01, 2014 - October 31, 2015
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal Investigator:Dmitri Maximovitch Guitman
Grantee:Dmitri Maximovitch Guitman
Visiting researcher: Vladislav Gavrilovich Bagrov
Visiting researcher institution: Tomsk State University (TSU), Russia
Home 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


In the framework of quantum theory we are to consider characteristics of synchrotron radiation such as spectral and angular distributions, polarization proper- ties, etc. Since classical theory gives an adequate description of radiation only in partic- ular cases and, obviously, completely ignores effects of purely quantum nature, we aim at calculating quantum corrections that would provide a better correspondence between theory and experiment. Though for more than sixty years quantum theory represents a perfect analytical tool of description of radiation properties, it can not be confidently referred to as complete. In this connection we are to consider the evolution of radiation maximum for Dirac particle in quantum terms thus defining the influence of spin prop- erties on the possible shifts of its position between quantum harmonics. Using quantum analogues of Li enard-Wiechert potentials, we aim at obtaining quantum corrections to synchrotron radiation power associated with the transitions when more than one photon is emitted. For Hamiltonians that depend on coordinates squared and momenta squared with arbitrary time-dependent coefficients we are to create sets of generalized coherent states and develop analytical methods to construct integrals of motion. Since this prob- lem can be, in some sense, reduced to the consideration of spin equation, we are supposed to use our previous experience in the area. The probabilities of quantum transitions can be calculated in terms of generalized coherent states, not stationary states, as has always been done for synchrotron radiation. We assume that the calculation of matrix elements based on generalized compressed coherent states will reveal quantum corrections to the characteristics of radiation. (AU)