Introduction to the Statistical Physics of Integrable Many-body Systems

Introduction to the Statistical Physics of Integrable Many-body Systems

By: Ladislav Samaj (author), Zoltan Bajnok (author)Hardback

1 - 2 weeks availability

Description

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.

Create a review

About Author

Ladislav Samaj 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. Zoltan Bajnok is a Research Professor at the MTA Lendulet 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.

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.

Product Details

  • publication date: 16/05/2013
  • ISBN13: 9781107030435
  • Format: Hardback
  • Number Of Pages: 523
  • ID: 9781107030435
  • weight: 1080
  • ISBN10: 1107030439

Delivery Information

  • Saver Delivery: Yes
  • 1st Class Delivery: Yes
  • Courier Delivery: Yes
  • Store Delivery: Yes

Prices are for internet purchases only. Prices and availability in WHSmith Stores may vary significantly

Close