Skip to content
Register Sign in Wishlist

Introduction to the Statistical Physics of Integrable Many-body Systems

$180.00

  • Date Published: May 2013
  • availability: Available
  • format: Hardback
  • isbn: 9781107030435

$ 180.00
Hardback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an evaluation copy?

This title is not currently available for evaluation. However, if you are interested in the title for your course we can consider offering an evaluation copy. To register your interest please contact asiamktg@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Including topics not traditionally covered in literature, such as (1+1)-dimensional QFT and classical 2D Coulomb gases, this book considers a wide range of models and demonstrates a number of situations to which they can be applied. Beginning with a treatise of nonrelativistic 1D continuum Fermi and Bose quantum gases of identical spinless particles, the book describes the quantum inverse scattering method and the analysis of the related Yang–Baxter equation and integrable quantum Heisenberg models. It also discusses systems within condensed matter physics, the complete solution of the sine-Gordon model and modern trends in the thermodynamic Bethe ansatz. Each chapter concludes with problems and solutions to help consolidate the reader's understanding of the theory and its applications. Basic knowledge of quantum mechanics and equilibrium statistical physics is assumed, making this book suitable for graduate students and researchers in statistical physics, quantum mechanics and mathematical and theoretical physics.

    • Provides a detailed analysis of a wide range of models of integrable systems, presented in a self-contained way
    • Several groups of models of integrable systems are considered, such as the Bose and Fermi gases, basic spin chains and models in condensed matter theory
    • Includes a discussion of modern trends in the thermodynamic Bethe ansatz
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: May 2013
    • format: Hardback
    • isbn: 9781107030435
    • length: 523 pages
    • dimensions: 252 x 171 x 30 mm
    • weight: 1.08kg
    • contains: 29 b/w illus. 113 exercises
    • availability: Available
  • Table of Contents

    Preface
    Part I. Spinless Bose and Fermi Gases:
    1. Particles with nearest-neighbour interactions: Bethe ansatz and the ground state
    2. Bethe ansatz: zero-temperature thermodynamics and excitations
    3. Bethe ansatz: finite-temperature thermodynamics
    4. Particles with inverse-square interactions
    Part II. Quantum Inverse Scattering Method:
    5. QISM: Yang–Baxter equation
    6. QISM: transfer matrix and its diagonalization
    7. QISM: treatment of boundary conditions
    8. Nested Bethe ansatz for spin-1/2 fermions with delta interactions
    9. Thermodynamics of spin-1/2 fermions with delta interactions
    Part III. Quantum Spin Chains:
    10. Quantum Ising chain in a transverse field
    11. XXZ Heisenberg chain: Bethe ansatz and the ground state
    12. XXZ Heisenberg chain: ground state in the presence of magnetic field
    13. XXZ Heisenberg chain: excited states
    14. XXX Heisenberg chain: thermodynamics with strings
    15. XXZ Heisenberg chain: thermodynamics without strings
    16. XYZ Heisenberg chain
    17. Integrable isotropic chains with arbitrary spin
    Part IV. Strongly Correlated Electrons:
    18. Hubbard model
    19. Kondo effect
    20. Luttinger many-fermion model
    21. Integrable BCS superconductors
    Part V. Sine-Gordon Model:
    22. Classical sine-Gordon theory
    23. Conformal quantization
    24. Lagrangian quantization
    25. Bootstrap quantization
    26. UV-IR relation
    27. Exact finite volume description from XXZ
    28. Two-dimensional Coulomb gas
    Appendix A. Spin and spin operators on chain
    Appendix B. Elliptic functions
    References
    Index.

  • Authors

    Ladislav Šamaj, Institute of Physics, Slovak Academy of Sciences
    Ladislav Šamaj is a Research Professor within the Institute of Physics at the Slovak Academy of Sciences and teaches statistical mechanics of integrable many-body systems at the Institute of Physics and the Comenius University in Bratislava. His research specialises in Coulomb fluids, classical and quantum, two-dimensional and higher-dimensional. He contributed to the field of equilibrium statistical mechanics by solving exactly the two-dimensional Coulomb gas, charge-symmetric and with a charge asymmetry.

    Zoltán Bajnok, Hungarian Academy of Sciences, Budapest
    Zoltán Bajnok is a Research Professor at the MTA Lendület Holographic QFT Group of the Wigner Research Centre for Physics in Budapest, where he specialises in integrable models with a focus on finite size effects. He contributed to the analysis of the exact spectrum of the boundary sine-Gordon theory, and successfully applied the developed 2D integrable techniques to calculate the scaling dimensions of gauge invariant operators in four-dimensional quantum field theories.

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×