{"product_id":"the-one-dimensional-hubbard-model-hardback-9780521802628","title":"The One-Dimensional Hubbard Model (Hardback) 9780521802628","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe One-Dimensional Hubbard Model\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eAn advanced level reference text on important topics in condensed matter physics, statistical and theoretical physics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eFabian H. L. Essler (Author), Holger Frahm (Author), Frank Göhmann (Author), Andreas Klümper (Author), Vladimir E. Korepin (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521802628, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 7 February 2005\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e692 pages\u003cbr\u003e24.4 x 17 x 3.7 cm, 1.49 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"The joint expertise of the authors on the subject is formidable.  The influence of their intimate familiarity with the material is visible throughout the book.  The bibliography is extensive and will be a useful tool for those interested in the original publications.  Short of asking an expert, there is no better way to access the huge body of work accumulated over decades by a large number of authors.  Every physics and chemistry library should have a copy of this book, and many individual researchers want to have a copy on their shelves, too.\"  \u003cbr\u003eBruno Nachtergaele, University of California, Davis, SIAM Review\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe description of solids at a microscopic level is complex, involving the interaction of a huge number of its constituents, such as ions or electrons. It is impossible to solve the corresponding many-body problems analytically or numerically, although much insight can be gained from the analysis of simplified models. An important example is the Hubbard model, which describes interacting electrons in narrow energy bands, and which has been applied to problems as diverse as high-Tc superconductivity, band magnetism, and the metal-insulator transition. This book presents a coherent, self-contained account of the exact solution of the Hubbard model in one dimension. The early chapters will be accessible to beginning graduate students with a basic knowledge of quantum mechanics and statistical mechanics. The later chapters address more advanced topics, and are intended as a guide for researchers to some of the more topical results in the field of integrable models.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Introduction\u003cbr\u003e 2. The Hubbard Hamiltonian and its symmetries\u003cbr\u003e 3. The Bethe ansatz solution\u003cbr\u003e 4. String hypothesis\u003cbr\u003e 5. Thermodynamics in the Yang-Yang approach\u003cbr\u003e 6. Ground state properties in the thermodynamic limit\u003cbr\u003e 7. Excited states at zero temperature\u003cbr\u003e 8. Finite size corrections at zero temperature\u003cbr\u003e 9. Asymptotics of correlation functions\u003cbr\u003e 10. Scaling and continuum limits at half-filling\u003cbr\u003e 11. Universal correlations at low density\u003cbr\u003e 12. The algebraic approach to the Hubbard model\u003cbr\u003e 13. The path integral approach to thermodynamics\u003cbr\u003e 14. The Yangian symmetry of the Hubbard model\u003cbr\u003e 15. S-matrix and Yangian symmetry in the infinite interval limit\u003cbr\u003e 16. Hubbard model in the attractive case\u003cbr\u003e 17. Mathematical appendices\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Condensed matter physics [\u003ca title=\"See our other books on Condensed matter physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Condensed%20matter%20physics%20%5Bliquid%20state%20\u0026amp;%20solid%20state%20physics%5D%20%5BPHFC%5D%22\"\u003eliquid state \u0026amp; solid state physics PHFC\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":46005563752728,"sku":"9780521802628","price":135.65,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521802628i_fcff1edb-54d3-4b07-bbc7-eb6db2914b3d.jpg?v=1691368194","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-one-dimensional-hubbard-model-hardback-9780521802628","provider":"Freshly Printed Books","version":"1.0","type":"link"}