{"product_id":"9783034805599","title":"Modern Birkhäuser Classics","description":"\u003ch1\u003eModern Birkhäuser Classics\u003c\/h1\u003e \u003ch2\u003eNagasawa, Masao\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003eSchrödinger Equations and Diffusion Theory\u003c\/i\u003e addresses the question “What is the Schrödinger equation?” in terms of diffusion processes, and shows that the Schrödinger equation and diffusion equations in duality are equivalent. In turn, Schrödinger’s conjecture of 1931 is solved. The theory of diffusion processes for the Schrödinger equation tells us that we must go further into the theory of systems of (infinitely) many interacting quantum (diffusion) particles.\u003c\/p\u003e\u003cp\u003eThe method of relative entropy and the theory of transformations enable us to construct severely singular diffusion processes which appear to be equivalent to Schrödinger equations. \u003c\/p\u003e\u003cp\u003eThe theory of large deviations and the propagation of chaos of interacting diffusion particles reveal the statistical mechanical nature of the Schrödinger equation, namely, quantum mechanics. \u003c\/p\u003e\u003cp\u003eThe text is practically self-contained and requires only an elementary knowledge of probability theory at the graduate level. \u003c\/p\u003e\u003cp\u003e--- \u003c\/p\u003e\u003cp\u003e\u003ci\u003eThis book is a self-contained, very well-organized monograph recommended to researchers and graduate students in the field of probability theory, functional analysis and quantum dynamics. (...) what is written in this book may be regarded as an introduction to the theory of diffusion processes and applications written with the physicists in mind. Interesting topics present themselves as the chapters proceed. (...) this book is an excellent addition to the literature of mathematical sciences with a flavour different from an ordinary textbook in probability theory because of the author’s great contributions in this direction. Readers will certainly enjoy the topics and appreciate the  profound mathematical properties of diffusion processes. \u003cbr\u003e\u003c\/i\u003e(Mathematical Reviews)​\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2012-12-14\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783034805599\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-0348-0560-5\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 319\u003c\/p\u003e ","brand":"Springer Basel","offers":[{"title":"Default Title","offer_id":46544931389580,"sku":"9783034805599","price":76.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783034805599.jpg?v=1775754313","url":"https:\/\/lateknightbooks.com\/products\/9783034805599","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}