Mathematical Topics Between Classical and Quantum Mechanics
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The work Mathematical Topics Between Classical and Quantum Mechanics represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Mathematical Topics Between Classical and Quantum Mechanics
Resource Information
The work Mathematical Topics Between Classical and Quantum Mechanics represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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 Mathematical Topics Between Classical and Quantum Mechanics
 Statement of responsibility
 by N. P. Landsman
 Language

 eng
 eng
 Summary
 Subject Matter The original title of this book was Tractatus ClassicoQuantummechanicus, 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 operatoralgebraic 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 pure states on the other. Thus the reader will find a unified treatment of certain aspects of the theory of Poisson algebras, oper ator algebras, and their state spaces, which is based on this relationship
 Dewey number
 530.1
 Image bit depth
 0
 Language note
 English
 LC call number
 QC19.220.85
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Springer Monographs in Mathematics,
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Context of Mathematical Topics Between Classical and Quantum MechanicsWork of
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