{"product_id":"introduction-to-the-statistical-physics-of-integrable-many-body-systems-hardback-9781107030435","title":"Introduction to the Statistical Physics of Integrable Many-body Systems (Hardback) 9781107030435","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eIntroduction to the Statistical Physics of Integrable Many-body Systems\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eIncluding topics not traditionally covered, such as (1+1)-dimensional QFT, this book considers a wide range of models and their applications.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eLadislav Šamaj (Author), Zoltán Bajnok (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107030435, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 16 May 2013\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e523 pages, 29 b\/w illus.  113 exercises\u003cbr\u003e25.2 x 17.1 x 3 cm, 1.08 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eIncluding 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Part I. Spinless Bose and Fermi Gases: 1. Particles with nearest-neighbour interactions: Bethe ansatz and the ground state\u003cbr\u003e 2. Bethe ansatz: zero-temperature thermodynamics and excitations\u003cbr\u003e 3. Bethe ansatz: finite-temperature thermodynamics\u003cbr\u003e 4. Particles with inverse-square interactions\u003cbr\u003e Part II. Quantum Inverse Scattering Method: 5. QISM: Yang–Baxter equation\u003cbr\u003e 6. QISM: transfer matrix and its diagonalization\u003cbr\u003e 7. QISM: treatment of boundary conditions\u003cbr\u003e 8. Nested Bethe ansatz for spin-1\/2 fermions with delta interactions\u003cbr\u003e 9. Thermodynamics of spin-1\/2 fermions with delta interactions\u003cbr\u003e Part III. Quantum Spin Chains: 10. Quantum Ising chain in a transverse field\u003cbr\u003e 11. XXZ Heisenberg chain: Bethe ansatz and the ground state\u003cbr\u003e 12. XXZ Heisenberg chain: ground state in the presence of magnetic field\u003cbr\u003e 13. XXZ Heisenberg chain: excited states\u003cbr\u003e 14. XXX Heisenberg chain: thermodynamics with strings\u003cbr\u003e 15. XXZ Heisenberg chain: thermodynamics without strings\u003cbr\u003e 16. XYZ Heisenberg chain\u003cbr\u003e 17. Integrable isotropic chains with arbitrary spin\u003cbr\u003e Part IV. Strongly Correlated Electrons: 18. Hubbard model\u003cbr\u003e 19. Kondo effect\u003cbr\u003e 20. Luttinger many-fermion model\u003cbr\u003e 21. Integrable BCS superconductors\u003cbr\u003e Part V. Sine-Gordon Model: 22. Classical sine-Gordon theory\u003cbr\u003e 23. Conformal quantization\u003cbr\u003e 24. Lagrangian quantization\u003cbr\u003e 25. Bootstrap quantization\u003cbr\u003e 26. UV-IR relation\u003cbr\u003e 27. Exact finite volume description from XXZ\u003cbr\u003e 28. Two-dimensional Coulomb gas\u003cbr\u003e Appendix A. Spin and spin operators on chain\u003cbr\u003e Appendix B. Elliptic functions\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical physics [\u003ca title=\"See our other books on Mathematical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20physics%20%5BPHU%5D%22\"\u003ePHU\u003c\/a\u003e], Statistical physics [\u003ca title=\"See our other books on Statistical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Statistical%20physics%20%5BPHS%5D%22\"\u003ePHS\u003c\/a\u003e], Physics [\u003ca title=\"See our other books on Physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Physics%20%5BPH%5D%22\"\u003ePH\u003c\/a\u003e], Mathematics \u0026amp; science [\u003ca title=\"See our other books on Mathematics \u0026amp; science\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20\u0026amp;%20science%20%5BP%5D%22\"\u003eP\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46005528690968,"sku":"9781107030435","price":145.69,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107030435i_726d06d2-438d-4f0c-9dac-8f7398e761c9.jpg?v=1691361355","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/introduction-to-the-statistical-physics-of-integrable-many-body-systems-hardback-9781107030435","provider":"Freshly Printed Books","version":"1.0","type":"link"}