{"product_id":"dynamics-of-one-dimensional-quantum-systems-inverse-square-interaction-models-paperback-9781107424722","title":"Dynamics of One-Dimensional Quantum Systems; Inverse-Square Interaction Models (Paperback \/ softback) 9781107424722","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eDynamics of One-Dimensional Quantum Systems\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eInverse-Square Interaction Models\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eA concise and accessible account of the dynamical properties of one-dimensional quantum systems, for graduate students and new researchers.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eYoshio Kuramoto (Author), Yusuke Kato (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107424722, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 7 August 2014\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e488 pages\u003cbr\u003e24.4 x 17 x 2.5 cm, 0.77 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\"\u003eOne-dimensional quantum systems show fascinating properties beyond the scope of the mean-field approximation. However, the complicated mathematics involved is a high barrier to non-specialists. Written for graduate students and researchers new to the field, this book is a self-contained account of how to derive the exotic quasi-particle picture from the exact solution of models with inverse-square interparticle interactions. The book provides readers with an intuitive understanding of exact dynamical properties in terms of exotic quasi-particles which are neither bosons nor fermions. Powerful concepts, such as the Yangian symmetry in the Sutherland model and its lattice versions, are explained. A self-contained account of non-symmetric and symmetric Jack polynomials is also given. Derivations of dynamics are made easier, and are more concise than in the original papers, so readers can learn the physics of one-dimensional quantum systems through the simplest model.\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 Part I. Physical Properties: 2. Single-component Sutherland model\u003cbr\u003e 3. Multi-component Sutherland model\u003cbr\u003e 4. Spin chain with 1\/r2 interactions\u003cbr\u003e 5. SU(K) spin chain\u003cbr\u003e 6. Supersymmetric t-J model with 1\/r2 interaction\u003cbr\u003e Part II. Mathematics Related to 1\/r2  Systems: 7. Jack polynomials\u003cbr\u003e 8. Yang-Baxter relations and orthogonal eigenbasis\u003cbr\u003e 9. SU(K) and supersymmetric Yangians\u003cbr\u003e 10. Uglov's theory\u003cbr\u003e Epilogue\u003cbr\u003e References\u003cbr\u003e List of symbols\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], 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":46005896446232,"sku":"9781107424722","price":52.48,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107424722i_80ded643-8cd7-4fb5-91a5-2c303f7fa34c.jpg?v=1694486093","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/dynamics-of-one-dimensional-quantum-systems-inverse-square-interaction-models-paperback-9781107424722","provider":"Freshly Printed Books","version":"1.0","type":"link"}