{"product_id":"schrdinger-equations-and-diffusion-theory-m-nagasawa-9783764328757","title":"Schr?dinger Equations and Diffusion Theory","description":"\u003cp\u003e\u003cstrong\u003eSchr?dinger Equations and Diffusion Theory\u003c\/strong\u003e addresses the question \"What is the Schr?dinger equation?\" in terms of diffusion processes, and shows that the Schr?dinger equation and diffusion equations in duality are equivalent. In turn, Schr?dinger's conjecture of 1931 is solved. The theory of diffusion processes for the Schr?dinger equation tell us that we must go further into the theory of systems of (infinitely) many interacting quantum (diffusion) particles.\u003cbr\u003eThe method of relative entropy and the theory of transformations enable us to construct severely singular diffusion processes which appear to be equivalent to Schr?dinger equations.\u003cbr\u003eThe theory of large deviations and the propagation of chaos of interacting diffusion particles reveal the statistical mechanical nature of the Schr?dinger equation, namely, quantum mechanics.\u003cbr\u003eThe text is practically self-contained and requires only an elementary knowledge of probability theory at the graduate level.\u003cbr\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e M. Nagasawa\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3764328754\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783764328757\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Birkhauser\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/01\/1993\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 323\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.44lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.81d","brand":"M. Nagasawa","offers":[{"title":"Hardcover","offer_id":46881178255615,"sku":"9783764328757","price":54.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_e201601a-8749-42ff-bb3f-2797ee0ce695.jpg?v=1747970911","url":"https:\/\/www.whiterainbookhouse.com\/products\/schrdinger-equations-and-diffusion-theory-m-nagasawa-9783764328757","provider":"WR Book House","version":"1.0","type":"link"}