Mathematical Aspects Of Weyl Quantization And Phase

Daniel Abrom Dubin, M A Hennings, Tom B Smith (Autoren)

Buch | Hardcover

560 Seiten

2000
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-3919-0 (ISBN)

Infos

This text analayzes in considerable generality the quantization-dequantization integral transform scheme of Weyl and Wigner, and considers several phase operator theories.

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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.

Inhalt

Part 1 Fundamentals: some remarks on classical mechanics; the bounded model; the smooth model; representations of the CCR; probability in quantum mechanics; dynamical systems; Weyl quantization. Part Quantization and phase: quantization in polar co-ordinates; phase operators; the laser model; Weyl dequantization; the moyal product; ordered quantization; asymptotics; measurements.

Produkt-Details

• Erscheint lt. Verlag: 13.6.2000
• Verlagsort: Singapore
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Mechanik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
• ISBN-10: 981-02-3919-X / 981023919X
• ISBN-13: 978-981-02-3919-0 / 9789810239190
• Zustand: Neuware