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From Micro to Macro Quantum Systems: A Unified Formalism with download ebook

From Micro to Macro Quantum Systems: A Unified Formalism with Superselection Rules and Its Applications




Author: K. Kong Wan
Type: eBook
Date Released: 2006
Format: pdf
Language: English
Page Count: 709
Isbn10 Code: 1860946259
Isbn13 Code: 9781860946257


Traditional quantum theory has a very rigid structure, making it difficult to accommodate new properties emerging from novel systems. This book presents a flexible and unified theory for physical systems, from micro and macro quantum to classical. This is achieved by incorporating superselection rules and maximal symmetric operators into the theory. The resulting theory is applicable to classical, microscopic quantum and non-orthodox mixed quantum systems of which macroscopic quantum systems are examples. A unified formalism also greatly facilitates the discussion of interactions between these systems. A scheme of quantization by parts is introduced, based on the mathematics of selfadjoint and maximal symmetric extensions of symmetric operators, to describe point interactions. The results are applied to treat superconducting quantum circuits in various configurations. This book also discusses various topics of interest such as the asymptotic treatment of quantum state preparation and quantum measurement, local observables and local values, Schrödinger's cat states in superconducting systems, and a path space formulation of quantum mechanics. This self-contained book is complete with a review of relevant geometric and operator theories, for example, vector fields and operators, symmetric operators and their maximal symmetric extensions, direct integrals of Hilbert spaces and operators.

Download From Micro to Macro Quantum Systems: A Unified Formalism with Superselection Rules and Its Applications

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نوشته شده در : یکشنبه 20 شهریور 1390  توسط : Seamus Tucker.    نظرات() .

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