LEADER 03547nam 22005295 450 001 9910373931903321 005 20200702072732.0 010 $a3-030-34394-4 024 7 $a10.1007/978-3-030-34394-1 035 $a(CKB)4100000009939715 035 $a(MiAaPQ)EBC5987504 035 $a(DE-He213)978-3-030-34394-1 035 $a(PPN)258058714 035 $a(EXLCZ)994100000009939715 100 $a20191129d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aStatistical Physics of Non Equilibrium Quantum Phenomena /$fby Yves Pomeau, Minh-Binh Tran 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (232 pages) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v967 311 $a3-030-34393-6 327 $aPart I Statistical Physics of the Interaction of a Single Atom or Ion with Radiation -- Introduction -- The Kolmogorov Equation for a Two-Level System -- The Statistical Theory of Shelving -- Summary, Conclusion and Appendix of Part 1 -- Part II Statistical Physics of Dilute Bose Gases -- Introduction -- Quantum Boltzmann Equations -- Formation of Singularities -- Hydrodynamic Approximations -- Equilibrium Properties of a Dilute Bose Gas with Small Coupling at First Order -- Mathematical Analysis of the Coupling Condensate -Thermal Cloud Systems. . 330 $aThis book provides an introduction to topics in non-equilibrium quantum statistical physics for both mathematicians and theoretical physicists. The first part introduces a kinetic equation, of Kolmogorov type, which is needed to describe an isolated atom (actually, in experiments, an ion) under the effect of a classical pumping electromagnetic field which keeps the atom in its excited state(s) together with the random emission of fluorescence photons which put it back into its ground state. The quantum kinetic theory developed in the second part is an extension of Boltzmann's classical (non-quantum) kinetic theory of a dilute gas of quantum bosons. This is the source of many interesting fundamental questions, particularly because, if the temperature is low enough, such a gas is known to have at equilibrium a transition, the Bose?Einstein transition, where a finite portion of the particles stay in the quantum ground state. An important question considered is how a Bose gas condensate develops in time if its energy is initially low enough. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v967 606 $aStatistical physics 606 $aPartial differential equations 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 615 0$aStatistical physics. 615 0$aPartial differential equations. 615 14$aStatistical Physics and Dynamical Systems. 615 24$aPartial Differential Equations. 676 $a530.42 700 $aPomeau$b Yves$4aut$4http://id.loc.gov/vocabulary/relators/aut$015394 702 $aTran$b Minh-Binh$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910373931903321 996 $aStatistical Physics of Non Equilibrium Quantum Phenomena$92506784 997 $aUNINA