Classical and Quantum Statistical Physics
Fundamentals and Advanced Topics

Provides a detailed introduction to classical and quantum statistical physics, including modern applications within current research.

Carlo Heissenberg (Author), Augusto Sagnotti (Author)

9781108844628, Cambridge University Press

Hardback, published 20 January 2022

400 pages
26.2 x 18.5 x 2.3 cm, 0.9 kg

'In its presentation of statistical mechanics, this book is unique for its emphasis on the quantum mechanical underpinnings. It would make a great text for a multi-disciplinary course on many-body physics for upper-division undergraduates or beginning graduate students. Even in the more-elementary first half, the book is full of underappreciated gems, and gives glimpses of a broad view of Theoretical Physics as a whole. The second half boasts a uniform and elementary treatment of the Onsager solution, the Bethe ansatz, the Renormalization Group, and the approach to equilibrium.' Prof. John McGreevy, University of California, San Diego

Statistical physics examines the collective properties of large ensembles of particles, and is a powerful theoretical tool with important applications across many different scientific disciplines. This book provides a detailed introduction to classical and quantum statistical physics, including links to topics at the frontiers of current research. The first part of the book introduces classical ensembles, provides an extensive review of quantum mechanics, and explains how their combination leads directly to the theory of Bose and Fermi gases. This allows a detailed analysis of the quantum properties of matter, and introduces the exotic features of vacuum fluctuations. The second part discusses more advanced topics such as the two-dimensional Ising model and quantum spin chains. This modern text is ideal for advanced undergraduate and graduate students interested in the role of statistical physics in current research. 140 homework problems reinforce key concepts and further develop readers' understanding of the subject.

Preface
Acknowledgements
Part I: 1. Elements of thermodynamics
2. The classical ensembles
3. Aspects of quantum mechanics
4. Systems of quantum oscillators
5. Vacuum fluctuations
6. The van der Waals theory
7. The grand canonical ensemble
8. Quantum statistics
9. Magnetism in matter, I
10. Magnetism in matter, II. Part II: 11. The 2D Ising model
12. The Heisenberg spin chain
13. Conformal invariance and the renormalization group
14. The approach of equilibrium
Appendices
References
Index.

Subject Areas: Mathematical physics [PHU], Statistical physics [PHS], Quantum physics [quantum mechanics & quantum field theory PHQ], Condensed matter physics [liquid state & solid state physics PHFC]