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Titlebook: Geometry of Quantum Theory; Volume 1 V. S. Varadarajan Book 1968 Springer Science+Business Media New York 1968 Morphism.algebra.function.ge

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發(fā)表于 2025-3-21 18:00:25 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Geometry of Quantum Theory
副標(biāo)題Volume 1
編輯V. S. Varadarajan
視頻videohttp://file.papertrans.cn/384/383825/383825.mp4
圖書封面Titlebook: Geometry of Quantum Theory; Volume 1 V. S. Varadarajan Book 1968 Springer Science+Business Media New York 1968 Morphism.algebra.function.ge
描述The present work is the first volume of a substantially enlarged version of the mimeographed notes of a course of lectures first given by me in the Indian Statistical Institute, Calcutta, India, during 1964-65. When it was suggested that these lectures be developed into a book, I readily agreed and took the opportunity to extend the scope of the material covered. No background in physics is in principle necessary for understand- ing the essential ideas in this work. However, a high degree of mathematical maturity is certainly indispensable. It is safe to say that I aim at an audience composed of professional mathematicians, advanced graduate students, and, hopefully, the rapidly increasing group of mathematical physicists who are attracted to fundamental mathematical questions. Over the years, the mathematics of quantum theory has become more abstract and, consequently, simpler. Hilbert spaces have been used from the very beginning and, after Weyl and Wigner, group representations havecome in conclusively. Recent discoveries seem to indicate that the role of group representations is destined for further expansion, not to speak of the impact of the theory of several complex variable
出版日期Book 1968
關(guān)鍵詞Morphism; algebra; function; geometry; mathematics; quantum mechanics; variable
版次1
doihttps://doi.org/10.1007/978-1-4615-7706-5
isbn_softcover978-1-4615-7708-9
isbn_ebook978-1-4615-7706-5
copyrightSpringer Science+Business Media New York 1968
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沙發(fā)
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Boolean Algebras on a Classical Phase Spaceystem is specified by a smooth function . on .., called the . of the system. If (..., ... , .......) represents the state of the system at time ., then the functions ..... =1, 2,... , ., satisfy the well known differential equations:
板凳
發(fā)表于 2025-3-22 02:32:38 | 只看該作者
Book 1968dian Statistical Institute, Calcutta, India, during 1964-65. When it was suggested that these lectures be developed into a book, I readily agreed and took the opportunity to extend the scope of the material covered. No background in physics is in principle necessary for understand- ing the essential
地板
發(fā)表于 2025-3-22 06:49:04 | 只看該作者
Coordinatization of Generalized Geometriesmetry of dimension ≥ 4 there exists always an isomorphism with the projective geometry of a vector space, and that such an isomorphism can be constructed even when the dimension is 3, provided the geometry is what is known as Desarguesian. These are of course well known results.
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Logics Associated with Hilbert Spacesnswer in the context of abstract logics, and therefore, in dealing with them, it becomes necessary to restrict the class of logics under consideration. In this chapter we shall examine some of these logics and describe, in a somewhat more concrete fashion than in Chapter VI, the observables, states, and symmetries associated with them.
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https://doi.org/10.1007/978-3-322-94208-1s negation, behaves very much like an orthocomplementation. This leads one to introduce axiomatically a class of partially ordered sets and to study their properties. We call these systems .. The basic assumption of modern quantum theory can then be described (if we anticipate some terminology) by saying that ? (?) is a standard logic.
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