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Mathematical Aspects Of Weyl Quantization And Phase

2000-06-12 Science
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Release : 2000-06-12
Genre : Science
Kind : eBook
Book Rating : 615/5 ( reviews)

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Book Synopsis Mathematical Aspects Of Weyl Quantization And Phase by : Daniel Abrom Dubin

Download or read book Mathematical Aspects Of Weyl Quantization And Phase written by Daniel Abrom Dubin. This book was released on 2000-06-12. Available in PDF, EPUB and Kindle. Book excerpt: This book analyzes in considerable generality the quantization-dequantization integral transform scheme of Weyl and Wigner, and considers several phase operator theories. It features: a thorough treatment of quantization in polar coordinates; dequantization by a new method of “motes”; a discussion of Moyal algebras; modifications of the transform method to accommodate operator orderings; a rigorous discussion of the Dicke laser model for one mode, fully quantum, in the thermodynamic limit; analysis of quantum phase theories based on the Toeplitz operator, the coherent state operator, the quantized phase space angle, and a sequence of finite rank operators.

Mathematical Quantization

2001-05-31 Mathematics
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Release : 2001-05-31
Genre : Mathematics
Kind : eBook
Book Rating : 238/5 ( reviews)

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Book Synopsis Mathematical Quantization by : Nik Weaver

Download or read book Mathematical Quantization written by Nik Weaver. This book was released on 2001-05-31. Available in PDF, EPUB and Kindle. Book excerpt: With a unique approach and presenting an array of new and intriguing topics, Mathematical Quantization offers a survey of operator algebras and related structures from the point of view that these objects are quantizations of classical mathematical structures. This approach makes possible, with minimal mathematical detail, a unified treatment of a

Mathematical Aspects of Quantization

2012 Mathematics
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Release : 2012
Genre : Mathematics
Kind : eBook
Book Rating : 736/5 ( reviews)

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Book Synopsis Mathematical Aspects of Quantization by : Sam Evens

Download or read book Mathematical Aspects of Quantization written by Sam Evens. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of expository articles from the Center of Mathematics at Notre Dame's 2011 program on quantization. Included are lecture notes from a summer school on quantization on topics such as the Cherednik algebra, geometric quantization, detailed proofs of Willwacher's results on the Kontsevich graph complex, and group-valued moment maps. This book also includes expository articles on quantization and automorphic forms, renormalization, Berezin-Toeplitz quantization in the complex setting, and the commutation of quantization with reduction, as well as an original article on derived Poisson brackets. The primary goal of this volume is to make topics in quantization more accessible to graduate students and researchers.

Mathematics of Quantization and Quantum Fields

2013-03-07 Science
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Release : 2013-03-07
Genre : Science
Kind : eBook
Book Rating : 116/5 ( reviews)

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Book Synopsis Mathematics of Quantization and Quantum Fields by : Jan Dereziński

Download or read book Mathematics of Quantization and Quantum Fields written by Jan Dereziński. This book was released on 2013-03-07. Available in PDF, EPUB and Kindle. Book excerpt: A unique and definitive review of mathematical aspects of quantization and quantum field theory for graduate students and researchers.

Mathematical Aspects of Weyl Quantization and Phase

2000 Science
Download Mathematical Aspects of Weyl Quantization and Phase PDF Online Free

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Release : 2000
Genre : Science
Kind : eBook
Book Rating : 19X/5 ( reviews)

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Book Synopsis Mathematical Aspects of Weyl Quantization and Phase by : D. A. Dubin

Download or read book Mathematical Aspects of Weyl Quantization and Phase written by D. A. Dubin. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: This book analyzes in considerable generality the quantization-dequantization integral transform scheme of Weyl and Wigner, and considers several phase operator theories. It features: a thorough treatment of quantization in polar coordinates; dequantization by a new method of "motes"; a discussion of Moyal algebras; modifications of the transform method to accommodate operator orderings; a rigorous discussion of the Dieke laser model for one mode, fully quantum, in the thermodynamic limit; analysis of quantum phase theories based on the Toeplitz operator, the coherent state operator, the quantized phase space angle, and a sequence of finite rank operators.

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