Phase Operator In Quantum Mechanics PDF Download
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Author | : Stephen M. Barnett |
Publisher | : Taylor & Francis |
Total Pages | : 513 |
Release | : 2007-04-27 |
Genre | : Technology & Engineering |
ISBN | : 1584887605 |
Download The Quantum Phase Operator Book in PDF, ePub and Kindle
Describing the phase of an electromagnetic field mode or harmonic oscillator has been an obstacle since the early days of modern quantum theory. The quantum phase operator was even more problematic with the invention of the maser and laser in the 1950s and 1960s. This problem was not solved until the Pegg-Barnett formalism was developed in the 1980s. Edited by one of the scientists who created this key solution, The Quantum Phase Operator: A Review charts the development of phase and angle operators from their first appearance to modern theory. Bringing together vital works that have been published on the subject, the book presents the ideas that led to the current theory of the phase operator and provides a complete picture of the progress that has followed since then. With introductions by the editors to put the papers in context and unify the content of the book, each section focuses on a different aspect of phase operators. The editors also chronologically organize the papers within the sections to highlight how scientific thought has evolved, if at all, over time. A collection of important relevant material that is scattered throughout the literature, this volume chronicles the history of the various facets of the quantum phase operator, promoting a solid foundation in quantum theory.
Author | : Julio Alberto Gallardo |
Publisher | : |
Total Pages | : 90 |
Release | : 1973 |
Genre | : Physics |
ISBN | : |
Download Phase Operator in Quantum Mechanics Book in PDF, ePub and Kindle
Author | : Cosmas Zachos |
Publisher | : World Scientific |
Total Pages | : 560 |
Release | : 2005 |
Genre | : Science |
ISBN | : 9812383840 |
Download Quantum Mechanics in Phase Space Book in PDF, ePub and Kindle
Wigner's quasi-probability distribution function in phase space is a special (Weyl) representation of the density matrix. It has been useful in describing quantum transport in quantum optics; nuclear physics; decoherence, quantum computing, and quantum chaos. It is also important in signal processing and the mathematics of algebraic deformation. A remarkable aspect of its internal logic, pioneered by Groenewold and Moyal, has only emerged in the last quarter-century: it furnishes a third, alternative, formulation of quantum mechanics, independent of the conventional Hilbert space, or path integral formulations.In this logically complete and self-standing formulation, one need not choose sides ? coordinate or momentum space. It works in full phase space, accommodating the uncertainty principle, and it offers unique insights into the classical limit of quantum theory. This invaluable book is a collection of the seminal papers on the formulation, with an introductory overview which provides a trail map for those papers; an extensive bibliography; and simple illustrations, suitable for applications to a broad range of physics problems. It can provide supplementary material for a beginning graduate course in quantum mechanics.
Author | : Stephen M. Barnett |
Publisher | : Taylor & Francis |
Total Pages | : 504 |
Release | : 2007-04-27 |
Genre | : Science |
ISBN | : 1584887613 |
Download The Quantum Phase Operator Book in PDF, ePub and Kindle
Describing the phase of an electromagnetic field mode or harmonic oscillator has been an obstacle since the early days of modern quantum theory. The quantum phase operator was even more problematic with the invention of the maser and laser in the 1950s and 1960s. This problem was not solved until the Pegg-Barnett formalism was developed in the 1980
Author | : Dariusz Chruscinski |
Publisher | : Springer Science & Business Media |
Total Pages | : 346 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 0817681760 |
Download Geometric Phases in Classical and Quantum Mechanics Book in PDF, ePub and Kindle
Several well-established geometric and topological methods are used in this work in an application to a beautiful physical phenomenon known as the geometric phase. This book examines the geometric phase, bringing together different physical phenomena under a unified mathematical scheme. The material is presented so that graduate students and researchers in applied mathematics and physics with an understanding of classical and quantum mechanics can handle the text.
Author | : Masanao Ozawa |
Publisher | : |
Total Pages | : 52 |
Release | : 1992 |
Genre | : |
ISBN | : |
Download Phase Operator Problem and Macroscopic Extension of Quantum Mechanics Book in PDF, ePub and Kindle
Author | : Thomas F. Jordan |
Publisher | : Courier Corporation |
Total Pages | : 162 |
Release | : 2012-09-20 |
Genre | : Science |
ISBN | : 0486140547 |
Download Linear Operators for Quantum Mechanics Book in PDF, ePub and Kindle
Suitable for advanced undergraduates and graduate students, this compact treatment examines linear space, functionals, and operators; diagonalizing operators; operator algebras; and equations of motion. 1969 edition.
Author | : Y. S. Kim |
Publisher | : World Scientific |
Total Pages | : 356 |
Release | : 1991 |
Genre | : Science |
ISBN | : 9789810203610 |
Download Phase Space Picture of Quantum Mechanics Book in PDF, ePub and Kindle
This book covers the theory and applications of the Wigner phase space distribution function and its symmetry properties. The book explains why the phase space picture of quantum mechanics is needed, in addition to the conventional Schrdinger or Heisenberg picture. It is shown that the uncertainty relation can be represented more accurately in this picture. In addition, the phase space picture is shown to be the natural representation of quantum mechanics for modern optics and relativistic quantum mechanics of extended objects.
Author | : Daniel Abrom Dubin |
Publisher | : World Scientific |
Total Pages | : 562 |
Release | : 2000-06-12 |
Genre | : Science |
ISBN | : 9814494615 |
Download Mathematical Aspects Of Weyl Quantization And Phase Book in PDF, ePub and Kindle
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.
Author | : Wolfgang Schleich |
Publisher | : |
Total Pages | : 156 |
Release | : 1993 |
Genre | : Phase space (Statistical physics) |
ISBN | : |
Download Quantum Phase and Phase Dependent Measurements Book in PDF, ePub and Kindle