Including topics not traditionally covered, such as (1+1)-dimensional QFT, this book considers a wide range of models and their applications.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Ladislav amaj 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.
Inhaltsangabe
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.
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.
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