Mathematical Aspects of Weyl Quantization and Phase is popular PDF and ePub book, written by D A Dubin in 2000-06-12, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Mathematical Aspects of Weyl Quantization and Phase can be Read Online from any device for your convenience.
Mathematical Aspects of Weyl Quantization and Phase Book PDF Summary
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. Contents:Fundamentals:BackgroundSome Remarks on Classical MechanicsThe Bounded ModelThe Smooth ModelRepresentations of the CCRProbability in Quantum MechanicsDynamical SystemsWeyl QuantizationQuantization and Phase:Quantization in Polar CoordinatesPhase OperatorsThe Laser ModelWeyl DequantizationThe Moyal ProductOrdered QuantizationAsymptoticsMeasurements Readership: Researchers in physics. Keywords:Weyl Quantization;Wigner Transform;Quantum Mechanics;Dequantization;Phase Operator;Angle Quantization;Laser Theory;Moyal Product;Measurement;Asymptotics;QuantizationReviews: “… it provides an excellent survey in a very broad sense of the present state-of-the-art in the subject as expressed in the book.” Mathematical Reviews “Many topics had not or had inadequately been treated in the literature so far, so that this book is the first satisfactory discussion of lasers and phase operators from the point of view of quantization theory … this excellent book can be strongly recommended to those interested in the application of abstract quantization theory to real physical systems.” Mathematics Abstracts
Detail Book of Mathematical Aspects of Weyl Quantization and Phase PDF
- Author : D A Dubin
- Release : 12 June 2000
- Publisher : World Scientific
- ISBN : 9789814494618
- Genre : Science
- Total Page : 560 pages
- Language : English
- PDF File Size : 21,8 Mb
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