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Titlebook: Mathematical Topics Between Classical and Quantum Mechanics; N. P. Landsman Book 1998 Springer Science+Business Media New York 1998 Mathem

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發(fā)表于 2025-3-21 16:49:37 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Mathematical Topics Between Classical and Quantum Mechanics
編輯N. P. Landsman
視頻videohttp://file.papertrans.cn/627/626665/626665.mp4
叢書名稱Springer Monographs in Mathematics
圖書封面Titlebook: Mathematical Topics Between Classical and Quantum Mechanics;  N. P. Landsman Book 1998 Springer Science+Business Media New York 1998 Mathem
描述Subject Matter The original title of this book was Tractatus Classico-Quantummechanicus, but it was pointed out to the author that this was rather grandiloquent. In any case, the book discusses certain topics in the interface between classical and quantum mechanics. Mathematically, one looks for similarities between Poisson algebras and symplectic geometry on the classical side, and operator algebras and Hilbert spaces on the quantum side. Physically, one tries to understand how a given quan- tum system is related to its alleged classical counterpart (the classical limit), and vice versa (quantization). This monograph draws on two traditions: The algebraic formulation of quan- tum mechanics and quantum field theory, and the geometric theory of classical mechanics. Since the former includes the geometry of state spaces, and even at the operator-algebraic level more and more submerges itself into noncommutative geometry, while the latter is formally part of the theory of Poisson algebras, one should take the words "algebraic" and "geometric" with a grain of salt! There are three central themes. The first is the relation between constructions involving observables on one side, and pur
出版日期Book 1998
關(guān)鍵詞Mathematica; classical mechanics; field theory; functional analysis; gauge theories; mechanics; quantizati
版次1
doihttps://doi.org/10.1007/978-1-4612-1680-3
isbn_softcover978-1-4612-7242-7
isbn_ebook978-1-4612-1680-3Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer Science+Business Media New York 1998
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沙發(fā)
發(fā)表于 2025-3-21 22:13:06 | 只看該作者
lf is focused through choice and will. Are we then right and they wrong? From our point of view their work is a mish-mash of guesswork, logic, intuition and individualistic preference. Yet such work was the self-fulfilment of each philosopher and his supreme task on earth. In an exceedingly short sp
板凳
發(fā)表于 2025-3-22 02:51:30 | 只看該作者
1439-7382 and "geometric" with a grain of salt! There are three central themes. The first is the relation between constructions involving observables on one side, and pur978-1-4612-7242-7978-1-4612-1680-3Series ISSN 1439-7382 Series E-ISSN 2196-9922
地板
發(fā)表于 2025-3-22 04:41:15 | 只看該作者
Book 1998lf into noncommutative geometry, while the latter is formally part of the theory of Poisson algebras, one should take the words "algebraic" and "geometric" with a grain of salt! There are three central themes. The first is the relation between constructions involving observables on one side, and pur
5#
發(fā)表于 2025-3-22 12:21:47 | 只看該作者
N. P. Landsmanverhilft zu einem neuen Zugang zu Nietzsche selbst – und zur Moderne..Die 2. Auflage wird um den Anhang "Fake Nietzsche. Vom Nutzen und Nachteilfalscher Nietzsche-Zitate" sowie ein Personenregister erg?nzt.??.978-3-476-04890-5
6#
發(fā)表于 2025-3-22 14:25:03 | 只看該作者
verhilft zu einem neuen Zugang zu Nietzsche selbst – und zur Moderne..Die 2. Auflage wird um den Anhang "Fake Nietzsche. Vom Nutzen und Nachteilfalscher Nietzsche-Zitate" sowie ein Personenregister erg?nzt.??.978-3-476-04890-5
7#
發(fā)表于 2025-3-22 17:27:52 | 只看該作者
Observables and Pure States,t a . algebra from the point of view of its self-adjoint part. From this perspective the relationship between the respective algebraic structures of classical and quantum mechanics is particularly transparent.
8#
發(fā)表于 2025-3-23 00:28:03 | 只看該作者
Quantization and the Classical Limit, A slightly awkward feature of the first relationship is that usually Poisson algebras are not Banach spaces; a nonzero Poisson bracket on some Poisson subalgebra .cannot be extended to the closure .in the sup-norm.
9#
發(fā)表于 2025-3-23 05:02:02 | 只看該作者
10#
發(fā)表于 2025-3-23 06:55:07 | 只看該作者
N. P. Landsmanrk und Folgen.Verfasst von einem ausgesprochenen Nietzsche-E.Nietzsche stellt alles in Frage. Sein Denken geh?rt zu den einschneidenden intellektuellen Erfahrungen der Moderne. Entsprechend vielgestaltig fielen und fallen die Versuche aus, auf dieses Denken und auf die Person dahinter zu reagieren.
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