Browsing Quantum Mechanics by Author "Cortés, E."
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Measurevalued weak solutions to some kinetic equations with singular kernels for quantum particles
Cortés, E. (20181219)In this thesis, we present a mathematical study of three problems arising in the kinetic theory of quantum gases. In the first part, we consider a Boltzmann equation that is used to describe the time evolution of the ... 
On a Boltzmann equation for Compton scattering, from non relativistic electrons at low density.
Cortés, E.; Escobedo, M. (20180815)A Boltzmann equation, used to describe the Compton scattering in the nonrelativistic limit is considered. A truncation of the very singular redistribution function is introduced and justified. The existence of weak solutions ... 
On a system of equations for the normal fluid  condensate interaction in a Bose gas
Cortés, E.; Escobedo, M. (20180327)The existence of global solutions for a system of differential equations is proved, and some of their properties are described. The system involves a kinetic equation for quantum particles. It is a simplified version of ...