Seminar On Fundamentals Of Quantum Optics V
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Seminar On Fundamentals Of Quantum Optics V
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Author : Seminar on Fundamentals of Quantum Optics. 5, 2000, Kühtai
language : en
Publisher:
Release Date : 2000
Seminar On Fundamentals Of Quantum Optics V written by Seminar on Fundamentals of Quantum Optics. 5, 2000, Kühtai and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Quantum optics categories.
Seminar On Fundamentals Of Quantum Optics V
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Author : Fritz Ehlotzky
language : en
Publisher:
Release Date : 2000
Seminar On Fundamentals Of Quantum Optics V written by Fritz Ehlotzky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Quantum optics categories.
Special Issue Seminar On Fundamentals Of Quantum Optics V
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Author : Seminar on Fundamentals of Quantum Optics
language : en
Publisher:
Release Date : 2000
Special Issue Seminar On Fundamentals Of Quantum Optics V written by Seminar on Fundamentals of Quantum Optics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Seminar On Fundamentals Of Quantum Optics V 16 21 January 2000
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Author : Fritz Ehlotzky
language : en
Publisher:
Release Date : 2000
Seminar On Fundamentals Of Quantum Optics V 16 21 January 2000 written by Fritz Ehlotzky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Analytic Hyperbolic Geometry
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Author : Abraham A. Ungar
language : en
Publisher: World Scientific
Release Date : 2005
Analytic Hyperbolic Geometry written by Abraham A. Ungar and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
This is the first book on analytic hyperbolic geometry, fully analogous to analytic Euclidean geometry. Analytic hyperbolic geometry regulates relativistic mechanics just as analytic Euclidean geometry regulates classical mechanics. The book presents a novel gyrovector space approach to analytic hyperbolic geometry, fully analogous to the well-known vector space approach to Euclidean geometry. A gyrovector is a hyperbolic vector. In the resulting "gyrolanguage" of the book, one attaches the prefix "gyro" to a classical term to mean the analogous term in hyperbolic geometry. The book begins with the definition of gyrogroups, which is fully analogous to the definition of groups. Gyrogroups, both gyrocommutative and nongyrocommutative, abound in group theory. Surprisingly, the seemingly structureless Einstein velocity addition of special relativity turns out to be a gyrocommutative gyrogroup operation. Introducing scalar multiplication, some gyrocommutative gyrogroups of gyrovectors become gyrovector spaces. The latter, in turn, form the setting for analytic hyperbolic geometry just as vector spaces form the setting for analytic Euclidean geometry. By hybrid techniques of differential geometry and gyrovector spaces, it is shown that Einstein (Mobius) gyrovector spaces form the setting for Beltrami-Klein (Poincare) ball models of hyperbolic geometry. Finally, novel applications of Mobius gyrovector spaces in quantum computation, and of Einstein gyrovector spaces in special relativity, are presented.
Analytic Hyperbolic Geometry And Albert Einstein S Special Theory Of Relativity
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Author : Abraham A. Ungar
language : en
Publisher: World Scientific
Release Date : 2008
Analytic Hyperbolic Geometry And Albert Einstein S Special Theory Of Relativity written by Abraham A. Ungar and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.
This book presents a powerful way to study Einstein's special theory of relativity and its underlying hyperbolic geometry in which analogies with classical results form the right tool. It introduces the notion of vectors into analytic hyperbolic geometry, where they are called gyrovectors. Newtonian velocity addition is the common vector addition, which is both commutative and associative. The resulting vector spaces, in turn, form the algebraic setting for the standard model of Euclidean geometry. In full analogy, Einsteinian velocity addition is a gyrovector addition, which is both gyrocommutative and gyroassociative. The resulting gyrovector spaces, in turn, form the algebraic setting for the Beltrami–Klein ball model of the hyperbolic geometry of Bolyai and Lobachevsky. Similarly, Mצbius addition gives rise to gyrovector spaces that form the algebraic setting for the Poincarי ball model of hyperbolic geometry. In full analogy with classical results, the book presents a novel relativistic interpretation of stellar aberration in terms of relativistic gyrotrigonometry and gyrovector addition. Furthermore, the book presents, for the first time, the relativistic center of mass of an isolated system of noninteracting particles that coincided at some initial time t = 0. The novel relativistic resultant mass of the system, concentrated at the relativistic center of mass, dictates the validity of the dark matter and the dark energy that were introduced by cosmologists as ad hoc postulates to explain cosmological observations about missing gravitational force and late-time cosmic accelerated expansion. The discovery of the relativistic center of mass in this book thus demonstrates once again the usefulness of the study of Einstein's special theory of relativity in terms of its underlying analytic hyperbolic geometry.
Physics Briefs
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Author :
language : en
Publisher:
Release Date : 1994
Physics Briefs written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Physics categories.
Second International Workshop On Harmonic Oscillators
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Author :
language : en
Publisher:
Release Date : 1995
Second International Workshop On Harmonic Oscillators written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Quantum Optics And Laser Experiments
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Author : Sergiy Lyagushyn
language : en
Publisher: BoD – Books on Demand
Release Date : 2012-01-20
Quantum Optics And Laser Experiments written by Sergiy Lyagushyn and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-20 with Science categories.
The book embraces a wide spectrum of problems falling under the concepts of "Quantum optics" and "Laser experiments". These actively developing branches of physics are of great significance both for theoretical understanding of the quantum nature of optical phenomena and for practical applications. The book includes theoretical contributions devoted to such problems as providing a general approach to describe electromagnetic field states with correlation functions of different nature, nonclassical properties of some superpositions of field states in time-varying media, photon localization, mathematical apparatus that is necessary for field state reconstruction on the basis of restricted set of observables, and quantum electrodynamics processes in strong fields provided by pulsed laser beams. Experimental contributions are presented in chapters about some quantum optics processes in photonic crystals - media with spatially modulated dielectric properties - and chapters dealing with the formation of cloud of cold atoms in magneto optical trap. All chapters provide the necessary basic knowledge of the phenomena under discussion and well-explained mathematical calculations.
Second International Workshop On Squeezed States And Uncertainty Relations
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Author : D. Han
language : en
Publisher:
Release Date : 1993
Second International Workshop On Squeezed States And Uncertainty Relations written by D. Han and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Lasers categories.