EAN: 9783030343934

STATISTICAL PHYSICS OF NON EQUILIBRIUM QUANTUM ...

This book provides an introduction to topics in non-equilibrium quantum statistical physics for
both mathematicians and theoretical physicists. The first part introduces a kinetic equation 
of Kolmogorov type  which is needed to describe an isolated atom (actually  in experiments  an
ion) under the effect of a classical pumping electromagnetic field which keeps the atom in its
excited state(s) together with the random emission of fluorescence photons which put it back
into its ground state. The quantum kinetic theory developed in the second part is an extension
of Boltzmann's classical (non-quantum) kinetic theory of a dilute gas of quantum bosons. This
is the source of many interesting fundamental questions  particularly because  if the
temperature is low enough  such a gas is known to have at equilibrium a transition  the
Bose-Einstein transition  where a finite portion of the particles stay in the quantum ground
state. An important question considered is how a Bose gas condensate develops in time if its
energy is initially low enough.

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