{"product_id":"statistical-mechanics-von-sergio-cecotti","title":"Statistical Mechanics","description":"\n                                \n                \u003cp\u003eThis textbook is based on lecture notes that the author delivered at Qiuzhen College (Tsinghua University), a Chinese institution known for its exceptionally talented mathematics students. The book's intended audience shapes its character. It introduces Statistical Mechanics from the ground up, offering a fully self-contained presentation that aims for mathematical precision. It distinguishes rigorous results from controlled approximations and provides physical insights into phenomena.\u003c\/p\u003e\n                                \n                \n                \u003cp\u003eDespite its concise nature (suited for a one-semester basic course), this book covers several topics typically not found in introductory texts. These include Shannon's information-theoretic interpretation of entropy, the gauge approach to order-disorder duality in the Ising model, the Yang-Lee theory, and the quantum dissipation-fluctuation theorem. Additionally, it explores frustrated and quenched systems, including an introduction to the celebrated Parisi solution of the Sherrington-Kirkpatrick model of spin glasses.\u003c\/p\u003e\n                                \n                \n                \u003cp\u003eThe path integral formalism is extensively discussed from various perspectives to suit different applications. Chapter 2 approaches path integrals through the Feynman-Kac formula and second quantization. In Chapter 5, they are examined within the context of effective field theories like Landau-Ginzburg theory, while Chapter 6 delves into their connection with Brownian motion, Langevin stochastic differential equations, and Fokker-Planck diffusion PDEs. The book also explores the relationship between stochastic processes and supersymmetry.\u003c\/p\u003e\n                                \n                \n                \u003cp\u003eVarious techniques for computing path integrals, especially functional determinants, are introduced throughout the relevant chapters, offering the most suitable computational tools for each application.\u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783031678738\"\u003e\u003ch3\u003eA Concise Advanced Textbook\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783031678769\"\u003e\u003ch3\u003eA Concise Advanced Textbook\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Hardcover - 9783031678738","offer_id":50200470880581,"sku":"9783031678738","price":85.59,"currency_code":"EUR","in_stock":true},{"title":"Softcover - 9783031678769","offer_id":57949236330821,"sku":"9783031678769","price":64.19,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/73ac86df-64e8-4de1-8e43-036aca93eacd.jpg?v=1778818079","url":"https:\/\/shop.autorenwelt.de\/en\/products\/statistical-mechanics-von-sergio-cecotti","provider":"Autorenwelt Shop","version":"1.0","type":"link"}