© 2019

Lectures on Quantum Statistics

With Applications to Dilute Gases and Plasmas

  • Textbook-style introduction with an emphasis on applications in quantum gases and plasmas

  • Based on course-tested material

  • Contains information on and references to the history of the field


Part of the Lecture Notes in Physics book series (LNP, volume 953)

Table of contents

  1. Front Matter
    Pages i-x
  2. Werner Ebeling, Thorsten Pöschel
    Pages 1-17
  3. Werner Ebeling, Thorsten Pöschel
    Pages 19-53
  4. Werner Ebeling, Thorsten Pöschel
    Pages 55-90
  5. Werner Ebeling, Thorsten Pöschel
    Pages 91-140
  6. Werner Ebeling, Thorsten Pöschel
    Pages 141-170
  7. Werner Ebeling, Thorsten Pöschel
    Pages 171-210
  8. Werner Ebeling, Thorsten Pöschel
    Pages 211-231
  9. Werner Ebeling, Thorsten Pöschel
    Pages 233-266
  10. Back Matter
    Pages 267-271

About this book


Most of the matter in our universe is in a gaseous or plasma state. Yet, most textbooks on quantum statistics focus on examples from and applications in condensed matter systems, due to the prevalence of solids and liquids in our day-to-day lives. In an attempt to remedy that oversight, this book consciously focuses on teaching the subject matter in the context of (dilute) gases and plasmas, while aiming primarily at graduate students and young researchers in the field of quantum gases and plasmas for some of the more advanced topics. The majority of the material is based on a two-semester course held jointly by the authors over many years, and has benefited from extensive feedback provided by countless students and co-workers. The book also includes many historical remarks on the roots of quantum statistics: firstly because students appreciate and are strongly motivated by looking back at the history of a given field of research, and secondly because the spirit permeating this book has been deeply influenced by meetings and discussions with several pioneers of quantum statistics over the past few decades.


real quantum gas Virial expansion Quantum kinetic theory Bound states in plasmas Phase transitions in cold quantum gases

Authors and affiliations

  1. 1.FB PhysikHumboldt Universität zu BerlinBerlinGermany
  2. 2.Friedrich-Alexander-Universität Erlangen-NürnbergErlangenGermany

Bibliographic information

Industry Sectors
Energy, Utilities & Environment


“This book serves as an excellent source of information related to the theory of quantum statistics and its application to gases and plasmas. … I strongly recommend this book for graduate students and young researchers in physics, as well as for all researchers working on quantum statistics and related fields. They definitely may benefit from reading the book.” (Trifce Sandev, zbMATH 1447.82001, 2020)