Quantum Mechanics in Phase Space: An Overview with Selected Papers (World Scientific)

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9789812383846: Quantum Mechanics in Phase Space: An Overview with Selected Papers (World Scientific)

Wigner's quasi-probability distribution function in phase space is a special (Weyl-Wigner) representation of the density matrix.  It has been useful in describing transport in quantum optics; nuclear physics; and quantum computing, decoherence, and chaos.  It is also of importance 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 between coordinate and momentum space.  It works in full phase-space while accommodating the uncertainty principle, and it offers unique insights into the classical limit of quantum theory.  The variables (observables) in this formulation are c-number functions in phase space instead of operators, with the same interpretation as their classical counterparts, but which compose together in novel algebraic ways.

This volume is a selection of 23 classic and/or useful papers about the phase-space formulation, with an introductory overview that provides a trail-map to these papers, and with an extensive bibliography.  The overview collects often-used formulas and simple illustrations, suitable for applications to a broad range of physics problems, as well as teaching.  It thereby provides supplementary material that may be used for a beginning graduate course in quantum mechanics.

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In addition to the presentation speeches and the Nobel lectures, these volumes also provide brief biographies and the Nobel laureates' own accounts of their many years of preparation and effort that led to their achievements. The last decade of the twentieth century is already proving to be as dramatic as any decade before. The chances of global peace seem stronger now than at any time since 1900 and the people and organizations that have contributed most towards this progress are recognized by the Norwegian Nobel Committee. The Nobel Peace prizewinners during the period 1996 - 2000 include men, women and organizations whose principles, dedication and diligence continue to shape history. Below is a list of the prizewinners during the period 1996 - 2000. (1996) C F X BELO & J RAMOS-HORTA - for their work towards a just and peaceful solution to the conflict in East Timor; (1997) INTERNATIONAL CAMPAIGN TO BAN LANDMINES (ICBL) & J WILLIAMS - for their work for the banning and cleaning of anti-personnel mines; (1998) J HUME & D TRIMBLE - for their efforts to find a peaceful solution to the conflict in Northern Ireland; (1999) DOCTORS WITHOUT BORDERS - in recognition of the organization's pioneering humanitarian work on several continents; (2000) D J KIM - for his work for democracy and human rights in South Korea and in East Asia in general, and for peace and reconciliation with North Korea in particular.

About the Author:

Cosmas Zachos is a theoretical and mathematical physicist at Argonne National Laboratory, in Illinois, USA.   David Fairlie is Professor Emeritus at the University of Durham, UK.                    Thomas Curtright is a Professor of Physics at the University of Miami, in Coral Gables, Florida,  who specializes in particle theory and mathematical physics.

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Book Description World Scientific Publishing Co Pte Ltd, Singapore, 2006. Hardback. Book Condition: New. 260 x 196 mm. Language: English . Brand New Book. 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. Bookseller Inventory # AAJ9789812383846

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Book Description World Scientific Publishing Co Pte Ltd, Singapore, 2006. Hardback. Book Condition: New. 260 x 196 mm. Language: English . Brand New Book. 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. Bookseller Inventory # AAJ9789812383846

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Book Description World Scientific Publishing Co Pte Ltd, Singapore, 2006. Hardback. Book Condition: New. 260 x 196 mm. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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. Bookseller Inventory # BTE9789812383846

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Book Description World Scientific Publishing Co Pte Ltd. Hardback. Book Condition: new. BRAND NEW, Quantum Mechanics in Phase Space: An Overview with Selected Papers, Cosmas K. Zachos, David B. Fairlie, Thomas Curtright, In addition to the presentation speeches and the Nobel lectures, these volumes also provide brief biographies and the Nobel laureates' own accounts of their many years of preparation and effort that led to their achievements. The last decade of the twentieth century is already proving to be as dramatic as any decade before. The chances of global peace seem stronger now than at any time since 1900 and the people and organizations that have contributed most towards this progress are recognized by the Norwegian Nobel Committee. The Nobel Peace prizewinners during the period 1996 - 2000 include men, women and organizations whose principles, dedication and diligence continue to shape history. Below is a list of the prizewinners during the period 1996 - 2000. (1996) C F X BELO & J RAMOS-HORTA - for their work towards a just and peaceful solution to the conflict in East Timor; (1997) INTERNATIONAL CAMPAIGN TO BAN LANDMINES (ICBL) & J WILLIAMS - for their work for the banning and cleaning of anti-personnel mines; (1998) J HUME & D TRIMBLE - for their efforts to find a peaceful solution to the conflict in Northern Ireland; (1999) DOCTORS WITHOUT BORDERS - in recognition of the organization's pioneering humanitarian work on several continents; (2000) D J KIM - for his work for democracy and human rights in South Korea and in East Asia in general, and for peace and reconciliation with North Korea in particular. Bookseller Inventory # B9789812383846

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