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  • © 1997

Operator Algebras and Quantum Statistical Mechanics

Equilibrium States. Models in Quantum Statistical Mechanics

Part of the book series: Theoretical and Mathematical Physics (TMP)

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Table of contents (8 chapters)

  1. Front Matter

    Pages I-XIII
  2. States in Quantum Statistical Mechanics

    1. Front Matter

      Pages 1-1
    2. Introduction

      • Ola Bratteli, Derek W. Robinson
      Pages 3-5
    3. Continuous Quantum Systems. I

      • Ola Bratteli, Derek W. Robinson
      Pages 6-75
    4. KMS-States

      • Ola Bratteli, Derek W. Robinson
      Pages 76-143
    5. Stability and Equilibrium

      • Ola Bratteli, Derek W. Robinson
      Pages 144-216
  3. Models of Quantum Statistical Mechanics

    1. Front Matter

      Pages 235-235
    2. Introduction

      • Ola Bratteli, Derek W. Robinson
      Pages 237-238
    3. Quantum Spin Systems

      • Ola Bratteli, Derek W. Robinson
      Pages 239-352
    4. Continuous Quantum Systems. II

      • Ola Bratteli, Derek W. Robinson
      Pages 353-421
    5. Conclusion

      • Ola Bratteli, Derek W. Robinson
      Pages 422-423
  4. Back Matter

    Pages 463-517

About this book

For almost two decades this has been the classical textbook on applications of operator algebra theory to quantum statistical physics. It describes the general structure of equilibrium states, the KMS-condition and stability, quantum spin systems and continuous systems.
Major changes in the new edition relate to Bose--Einstein condensation, the dynamics of the X-Y model and questions on phase transitions. Notes and remarks have been considerably augmented.

Authors and Affiliations

  • Matematisk Institutt, Universitetet i Oslo, Oslo, Norway

    Ola Bratteli

  • School of Mathematical Sciences, Australian National University, Canberra, Australia

    Derek W. Robinson

Bibliographic Information

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access