Statistical Physics of Non Equilibrium Quantum Phenomena

  • Yves Pomeau
  • Minh-Binh Tran

Part of the Lecture Notes in Physics book series (LNP, volume 967)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Statistical Physics of the Interaction of a Single Atom or Ion with Radiation

    1. Front Matter
      Pages 1-1
    2. Yves Pomeau, Minh-Binh Tran
      Pages 3-6
    3. Yves Pomeau, Minh-Binh Tran
      Pages 7-33
    4. Yves Pomeau, Minh-Binh Tran
      Pages 35-39
    5. Yves Pomeau, Minh-Binh Tran
      Pages 41-55
  3. Statistical Physics of Dilute Bose Gases

    1. Front Matter
      Pages 57-57
    2. Yves Pomeau, Minh-Binh Tran
      Pages 59-68
    3. Yves Pomeau, Minh-Binh Tran
      Pages 69-104
    4. Yves Pomeau, Minh-Binh Tran
      Pages 105-117
    5. Yves Pomeau, Minh-Binh Tran
      Pages 119-147
  4. Back Matter
    Pages 217-227

About this book


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.


Statistical Physics kinetic equations Partial Differential Equations Quantum Phyiscs Bose-Einstein Condensates Quantum Boltzmann Equations

Authors and affiliations

  • Yves Pomeau
    • 1
  • Minh-Binh Tran
    • 2
  1. 1.LadHyXÉcole PolytechniquePalaiseau CedexFrance
  2. 2.Department of MathematicsSouthern Methodist UniversityDallasUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-030-34393-4
  • Online ISBN 978-3-030-34394-1
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site