Nonlinear Deformed And Irreversible Quantum Systems

Author : Heinz-dietrich Doebner,P Nattermann,Vladimir K Dobrev
Publisher : World Scientific
Page : 494 pages
File Size : 46,6 Mb
Release : 1995-08-31
Category : Electronic
ISBN : 9789814549240

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Nonlinear, Deformed And Irreversible Quantum Systems - Proceedings Of The International Symposium On Mathematical Physics by Heinz-dietrich Doebner,P Nattermann,Vladimir K Dobrev Pdf

In recent years nonlinear and irreversible quantum mechanics is becoming increasingly important because of the availability of precision experiments. There are new and successful attempts to understand quantum irreversibility. The development of generalized symmetries has to led to new families of evolution equations for pure and mixed states. On the one hand, this timely symposium covers nonlinear and irreversible quantum mechanics, the theory of quantization methods, causality and various problems important in this context. On the other hand, it reports the development of quantum group symmetries, and of methods to construct deformed quantum mechanical evolution equations like the q-deformed Schrödinger equations.

Author : Heinz Dietrich Doebner,V. K. Dobrev,P. Nattermann
Publisher : World Scientific Publishing Company Incorporated
Page : 477 pages
File Size : 45,5 Mb
Release : 1995
Category : Science
ISBN : 9810222661

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Nonlinear, Deformed, and Irreversible Quantum Systems by Heinz Dietrich Doebner,V. K. Dobrev,P. Nattermann Pdf

Author : Dieter Schuch
Publisher : Springer
Page : 258 pages
File Size : 46,8 Mb
Release : 2018-01-20
Category : Science
ISBN : 9783319655949

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Quantum Theory from a Nonlinear Perspective by Dieter Schuch Pdf

This book provides a unique survey displaying the power of Riccati equations to describe reversible and irreversible processes in physics and, in particular, quantum physics. Quantum mechanics is supposedly linear, invariant under time-reversal, conserving energy and, in contrast to classical theories, essentially based on the use of complex quantities. However, on a macroscopic level, processes apparently obey nonlinear irreversible evolution equations and dissipate energy. The Riccati equation, a nonlinear equation that can be linearized, has the potential to link these two worlds when applied to complex quantities. The nonlinearity can provide information about the phase-amplitude correlations of the complex quantities that cannot be obtained from the linearized form. As revealed in this wide ranging treatment, Riccati equations can also be found in many diverse fields of physics from Bose-Einstein-condensates to cosmology. The book will appeal to graduate students and theoretical physicists interested in a consistent mathematical description of physical laws.

Author : Xiao-Feng Pang,Yuan-Ping Feng
Publisher : World Scientific
Page : 646 pages
File Size : 53,9 Mb
Release : 2005
Category : Science
ISBN : 9789812561169

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Quantum Mechanics in Nonlinear Systems by Xiao-Feng Pang,Yuan-Ping Feng Pdf

In the history of physics and science, quantum mechanics has served as the foundation of modern science. This book discusses the properties of microscopic particles in nonlinear systems, principles of the nonlinear quantum mechanical theory, and its applications in condensed matter, polymers and biological systems.The book is essentially composed of three parts. The first part presents a review of linear quantum mechanics, as well as theoretical and experimental fundamentals that establish the nonlinear quantum mechanical theory. The theory itself and its essential features are covered in the second part. In the final part, extensive applications of this theory in physics, biology and polymer are introduced. The whole volume forms a complete system of nonlinear quantum mechanics.The book is intended for researchers, graduate students as well as upper-level undergraduates.

Author : Fabio Benatti,Roberto Floreanini
Publisher : Springer
Page : 373 pages
File Size : 46,9 Mb
Release : 2008-01-11
Category : Science
ISBN : 9783540448747

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Irreversible Quantum Dynamics by Fabio Benatti,Roberto Floreanini Pdf

The idea of editing the present volume in the Lecture Notes in Physics series arosewhileorganizingthe“ConferenceonIrreversibleQuantumDynamics”that took place at The Abdus Salam International Center for Theoretical Physics, Trieste, Italy, from July 29 to August 2, 2002. The aim of the Conference was to bring together di?erent groups of - searcherswhoseinterestsandpursuitsinvolveirreversibilityandtimeasymmetry in quantum mechanics. The Conference promoted open and in-depth exchanges of di?erent points of view, concerning both the content and character of qu- tum irreversibility and the methodologies used to study it. The following main themes were addressed: • Theoretical Aspects of Quantum Irreversible Dynamics • Open Quantum Systems and Applications • Foundational Aspects of Irreversible Quantum Dynamics • Asymmetric Time Evolution and Resonances Eachthemewasreviewedbyanexpertinthe?eld,accompaniedbymorespeci?c, research-like shorter talks. The whole topic of quantum irreversibility in all its manifold aspects has always raised a lot of interest, starting with the description of unstable systems in quantum mechanics and the issue of quantum measurement. Further, in - cent years a boost of activity concerning noise, dissipation and open systems has been prompted by the fast developing ?eld of quantum communication and information theory. These considerations motivated the editors to put together a volume that tries to summarize the present day status of the research in the ?eld, with the aim of providing the reader with an accessible and exhaustive introduction to it.

Author : Pavel Bóna
Publisher : Springer Nature
Page : 243 pages
File Size : 42,5 Mb
Release : 2020-06-23
Category : Science
ISBN : 9783030450700

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Classical Systems in Quantum Mechanics by Pavel Bóna Pdf

This book investigates two possibilities for describing classical-mechanical physical systems along with their Hamiltonian dynamics in the framework of quantum mechanics.The first possibility consists in exploiting the geometrical properties of the set of quantum pure states of "microsystems" and of the Lie groups characterizing the specific classical system. The second approach is to consider quantal systems of a large number of interacting subsystems – i.e. macrosystems, so as to study the quantum mechanics of an infinite number of degrees of freedom and to look for the behaviour of their collective variables. The final chapter contains some solvable models of “quantum measurement" describing dynamical transitions from "microsystems" to "macrosystems".

Author : Heinz Dietrich Doebner
Publisher : World Scientific
Page : 648 pages
File Size : 48,9 Mb
Release : 2000
Category : Science
ISBN : 9810242379

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Quantum Theory and Symmetries by Heinz Dietrich Doebner Pdf

This volume gives an overview of the recent representative developments in relativistic and non-relativistic quantum theory, which are related to the application of various mathematical notions of various symmetries. These notions are centered upon groups, algebras and their generalizations, and are applied in interaction with topology, differential geometry, functional analysis and related fields. The emphasis is on results in the following areas: foundation of quantum physics, quantization methods, nonlinear quantum mechanics, algebraic quantum field theory, gauge and string theories, discrete spaces, quantum groups and generalized symmetries.

Author : Bruno Gruber,Michael Ramek
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461559214

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Symmetries in Science IX by Bruno Gruber,Michael Ramek Pdf

Proceedings of a symposium held in Bregenz, Austria, August 6-10, 1996

Author : Bruno Gruber,Michael Ramek
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 49,9 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781489915375

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Symmetries in Science X by Bruno Gruber,Michael Ramek Pdf

Proceedings an International Symposium held in Bregenz, Austria, July 13-18, 1997

Author : Vladimir K. Dobrev
Publisher : Walter de Gruyter GmbH & Co KG
Page : 406 pages
File Size : 52,9 Mb
Release : 2017-07-10
Category : Science
ISBN : 9783110427783

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Quantum Groups by Vladimir K. Dobrev Pdf

With applications in quantum field theory, general relativity and elementary particle physics, this three-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main manifestations: quantum algebras and matrix quantum groups. The exposition covers both the general aspects of these and a great variety of concrete explicitly presented examples. The invariant q-difference operators are introduced mainly using representations of quantum algebras on their dual matrix quantum groups as carrier spaces. This is the first book that covers the title matter applied to quantum groups. Contents Quantum Groups and Quantum Algebras Highest-Weight Modules over Quantum Algebras Positive-Energy Representations of Noncompact Quantum Algebras Duality for Quantum Groups Invariant q-Difference Operators Invariant q-Difference Operators Related to GLq(n) q-Maxwell Equations Hierarchies

Author : Bruno Gruber,Giuseppe Marmo,Naotaka Yoshinaga
Publisher : Springer Science & Business Media
Page : 623 pages
File Size : 43,9 Mb
Release : 2005-12-27
Category : Science
ISBN : 9781402026348

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Symmetries in Science XI by Bruno Gruber,Giuseppe Marmo,Naotaka Yoshinaga Pdf

This book is a collection of reviews and essays about the recent developments in the area of Symmetries and applications of Group Theory. Contributions have been written mostly at the graduate level but some are accessible to advanced undergraduates. The book is of interest to a wide audience and covers a broad range of topics with a strong degree of thematical unity. The book is part of a Series of books on Symmetries in Science and may be compared to the published Proceedings of the Colloquia on Group Theoretical Methods in Physics. Here, however, prevails a distinguished character for presenting extended reviews on present applications to Science, not restricted to Theoretical Physics.

Author : Stuart A. Rice
Publisher : John Wiley & Sons
Page : 346 pages
File Size : 50,5 Mb
Release : 2007-04-10
Category : Science
ISBN : 9780470121900

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Advances in Chemical Physics: Special Volume in Memory of Ilya Prigogine, Volume 135 by Stuart A. Rice Pdf

This series provides the chemical physics field with a forum for critical, authoritative evaluations of advances in every area of the discipline. This stand-alone special topics volume reports recent advances in electron-transfer research with significant, up-to-date chapters by internationally recognized researchers.

Author : Heinz-dietrich Doebner,Joachim Hilgert,Vladimir K Dobrev
Publisher : World Scientific
Page : 402 pages
File Size : 50,5 Mb
Release : 1998-12-07
Category : Electronic
ISBN : 9789814544658

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Lie Theory And Its Applications In Physics Ii - Proceedings Of The Ii International Workshop by Heinz-dietrich Doebner,Joachim Hilgert,Vladimir K Dobrev Pdf

This book consists of about 20 lectures on theoretical and observational aspects of astrophysical black holes, by experts in the field. The basic principles and astrophysical applications of the black hole magnetosphere and the Blandford-Znajek process are reviewed in detail, as well as accretion by black holes, black hole X-Ray binaries, black holes with cosmic strings, and so on. Recent advances in X-Ray observations of galactic black holes and new understanding of supermassive black holes in AGNs and normal galaxies are also discussed.

Author : Philip C. Argyres
Publisher : World Scientific
Page : 803 pages
File Size : 54,5 Mb
Release : 2004
Category : Science
ISBN : 9789812560681

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Proceedings of the 3rd International Symposium, Quantum Theory and Symmetries by Philip C. Argyres Pdf

The book contains the text of lectures given at the third of a series of biennial symposia in mathematical physics held in odd-numbered years. The subject of the symposium is the frontiers of mathematical physics. It deals with quantum phenomena and includes topics such as string theory and quantum gravity, particle physics and field theory, non-communative geometry, integrable models and infinite dimensional symmetry groups, quantum computing and information processing, and quantum chaos.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings? (ISTP? / ISI Proceedings)? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences

Author : R. N. Sen
Publisher : Cambridge University Press
Page : 413 pages
File Size : 52,9 Mb
Release : 2010-02-11
Category : Science
ISBN : 9781139485371

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Causality, Measurement Theory and the Differentiable Structure of Space-Time by R. N. Sen Pdf

Introducing graduate students and researchers to mathematical physics, this book discusses two recent developments: the demonstration that causality can be defined on discrete space-times; and Sewell's measurement theory, in which the wave packet is reduced without recourse to the observer's conscious ego, nonlinearities or interaction with the rest of the universe. The definition of causality on a discrete space-time assumes that space-time is made up of geometrical points. Using Sewell's measurement theory, the author concludes that the notion of geometrical points is as meaningful in quantum mechanics as it is in classical mechanics, and that it is impossible to tell whether the differential calculus is a discovery or an invention. Providing a mathematical discourse on the relation between theoretical and experimental physics, the book gives detailed accounts of the mathematically difficult measurement theories of von Neumann and Sewell.