Advances In Dynamical Systems And Quantum Physics - Proceedings Of The Conference

Advances In Dynamical Systems And Quantum Physics - Proceedings Of The Conference PDF Author: Sergio Albeverio
Publisher: World Scientific
ISBN: 9814550620
Category :
Languages : en
Pages : 374

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Book Description
This volume contains contributions from the meeting held in honour of G.F. Dell'Antonio for his sixtieth birthday. The topics covered include the theory of classical and quantum dynamical systems and related mathematical disciplines such as functional and stochastic analysis, operator algebras etc. The contributions by leading specialists survey recent developments in Hamiltonian dynamics, non-commutative integration, supersymmetric theories, spin glass theory and other subjects in mathematical physics.

Advances In Dynamical Systems And Quantum Physics - Proceedings Of The Conference

Advances In Dynamical Systems And Quantum Physics - Proceedings Of The Conference PDF Author: Sergio Albeverio
Publisher: World Scientific
ISBN: 9814550620
Category :
Languages : en
Pages : 374

Get Book

Book Description
This volume contains contributions from the meeting held in honour of G.F. Dell'Antonio for his sixtieth birthday. The topics covered include the theory of classical and quantum dynamical systems and related mathematical disciplines such as functional and stochastic analysis, operator algebras etc. The contributions by leading specialists survey recent developments in Hamiltonian dynamics, non-commutative integration, supersymmetric theories, spin glass theory and other subjects in mathematical physics.

Advances in Quantum Dynamics

Advances in Quantum Dynamics PDF Author: Geoffrey L. Price
Publisher: American Mathematical Soc.
ISBN: 0821832158
Category : Quantum theory
Languages : en
Pages : 338

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Book Description
This volume contains the proceedings of the conference on Advances in Quantum Dynamics. The purpose of the conference was to assess the current state of knowledge and to outline future research directions of quantum dynamical semigroups on von Neumann algebras. Since the appearance of the landmark papers by F. Murray and J. von Neumann, On the Rings of Operators, von Neumann algebras have been used as a mathematical model in the study of time evolution of quantum mechanical systems.Following the work of M. H. Stone, von Neumann, and others on the structure of one-parameter groups of unitary transformations, many researchers have made fundamental contributions to the understanding of time-reversible dynamical systems. This book deals with the mathematics of time-irreversiblesystems, also called dissipative systems. The time parameter is the half-line, and the transformations are now endomorphisms as opposed to automorphisms. For over a decade, W. B. Arveson and R. T. Powers have pioneered the effort to understand the structure of irreversible quantum dynamical systems on von Neumann algebras. Their papers in this volume serve as an excellent introduction to the theory. Also included are contributions in other areas which have had an impact on the theory, such asBrownian motion, dilation theory, quantum probability, and free probability. The volume is suitable for graduate students and research mathematicians interested in the dynamics of quantum systems and corresponding topics in the theory of operator algebras.

Advances in Open Systems and Fundamental Tests of Quantum Mechanics

Advances in Open Systems and Fundamental Tests of Quantum Mechanics PDF Author: Bassano Vacchini
Publisher: Springer Nature
ISBN: 3030311465
Category : Science
Languages : en
Pages : 113

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Book Description
Quantum mechanics has shown unprecedented success as a physical theory, but it has forced a new view on the description of physical reality. In recent years, important progress has been achieved both in the theory of open quantum systems and in the experimental realization and control of such systems. A great deal of the new results is concerned with the characterization and quantification of quantum memory effects. From this perspective, the 684. WE-Heraeus-Seminar has brought together scientists from different communities, both theoretical and experimental, sharing expertise on open quantum systems, as well as the commitment to the understanding of quantum mechanics. This book consists of many contributions addressing the diversified physics community interested in foundations of quantum mechanics and its applications and it reports about recent results in open quantum systems and their connection with the most advanced experiments testing quantum mechanics.

New Trends in Mathematical Physics

New Trends in Mathematical Physics PDF Author: Vladas Sidoravicius
Publisher: Springer Science & Business Media
ISBN: 9048128102
Category : Science
Languages : en
Pages : 886

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Book Description
This book collects selected papers written by invited and plenary speakers of the 15th International Congress on Mathematical Physics (ICMP) in the aftermath of the conference. In extensive review articles and expository texts as well as advanced research articles the world leading experts present the state of the art in modern mathematical physics. New mathematical concepts and ideas are introduced by prominent mathematicalphysicists and mathematicians, covering among others the fields of Dynamical Systems, Operator Algebras, Partial Differential Equations, Probability Theory, Random Matrices, Condensed Matter Physics, Statistical Mechanics, General Relativity, Quantum Mechanics, Quantum Field Theory, Quantum Information and String Theory. All together the contributions in this book give a panoramic view of the latest developments in mathematical physics. They will help readers with a general interest in mathematical physics to get an update on the most recent developments in their field, and give a broad overview on actual and future research directions in this fascinating and rapidly expanding area.

Recent Progress in Many-body Theories

Recent Progress in Many-body Theories PDF Author: Joseph A. Carlson
Publisher: World Scientific
ISBN: 9812772898
Category : Science
Languages : en
Pages : 285

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Book Description
Quantum many-body theory has greatly expanded its scope and depth over the past few years, treating more deeply long-standing issues like phase transitions and strongly-correlated systems, and simultaneously expanding into new areas such as cold atom physics and quantum information. This collection of contributions highlights recent advances in all these areas by leaders in their respective fields. Also included are some historic perspectives by L P Gor'kov and S T Belyaev, Feenberg Medal Recipients at this conference, and Nobel Laureate P W Anderson gives his unique outlook on the future of physics. The volume covers the key topics in many-body theory, tied together through advances in theoretical tools and computational techniques, and a unifying theme of fundamental approaches to quantum many-body physics. Contents: Feenberg Medal Session: Surface and Superconductivity (L P Gor'kov); The Future Lies Ahead (P W Anderson); Strongly Correlated Systems and Phase Transitions: Quantum Matters: Physics Beyond Landau's Paradigms (T Senthil); Recent Applications of the DMRG Method (K Hallberg); Quantum Fluids and Solids: Monolayer Charged Quantum Films: A Quantum Simulation Study (K Wierschem & E Manousakis); Analysis of the Interatomic Potential of the Helium Systems (S Ujevic & S A Vitiello); Nuclear Physics and QCD: Quantum Phase Transitions in Mesoscopic Systems (F Iachello); New Approaches to Strong Coupling Lattice QCD (S Chandrasekharan); Cold Atoms and Quantum Information: Superfluid Regimes in Degenerate Atomic Fermi Gases (G V Shlyapnikov); Bosons in Optical Lattices (S L Rolston); Complex Systems: Spin Textures and Random Fields in Dirty Quantum Hall Ferromagnets (J T Chalker); Dissipative Quantum Disordered Models (L F Cugliandolo); and other papers. Readership: Theoretical physicists in condensed matter, nuclear physics and QCD, atomic physics and quantum information.

Open Quantum Physics and Environmental Heat Conversion into Usable Energy

Open Quantum Physics and Environmental Heat Conversion into Usable Energy PDF Author: Eliade Stefanescu
Publisher: Bentham Science Publishers
ISBN: 1608059863
Category : Science
Languages : en
Pages : 279

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Book Description
A Quantum system can be viewed as a larger closed system comprising of two components: an open quantum system and its surrounding environment. These two components interact with each other, and in the realm of theoretical physics, this interaction cannot be neglected. This eBook explains mathematical and statistical concepts essential for describing a realistic quantum system by presenting recent contributions in this field. The book commences by explaining of the basics of quantum mechanics, statistical physics, and physics of open quantum systems. Detailed methods of deriving theoretical equations with explicit analytical coefficients with respect to open quantum systems are also explained. The book concludes with the study of a quantum heat converter in the framework of an all-microscopic theory involving fermions, photons, and phonons. Readers of this book will gain a better understanding on the following topics: • Quantum mechanics including the Boson and Fermion states, Fermi-Dirac and Bose-Einstein statistics, spin-statistics relation, many-body systems of Bosons and Fermions, the Fermi-Dirac integrals of the Fermion state densities, and transport phenomena in semiconductors • Dissipative dynamics and quantum systems such as friction, diffusion, friction-diffusion relation, mobility, occupation probability dynamics, damping, spectral width, correlation and autocorrelation, memory, stability, bifurcation, self-organization, and chaos • Lindblad’s theory of open quantum systems through the work of Alicki and Lendi • Quantum tunneling as an interaction with a system. • Optical bistability, including the fundamental contributions of Carmichael, McCall, and Bonifacio. • Master equations based on the microscopic theory of Ford, Lewis, and O’Connell. • Field propagation in a semiconductor structure • Coherent light propagation in the framework of a microscopic model including the refractive index and the Raman frequency shift. • Heat conversion in the framework of an all-microscopic model of open queantum systems • Entropy dynamics in a matter field system.

Rigorous Results In Quantum Dynamics - Proceedings Of The Conference

Rigorous Results In Quantum Dynamics - Proceedings Of The Conference PDF Author: Dittrich Jaroslav
Publisher: #N/A
ISBN: 9814556556
Category :
Languages : en
Pages : 344

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Book Description
The proceedings of the conference is devoted mainly to the mathematically rigorous approaches to the problems of quantum mechanics. The spectral properties of Schrödinger operators, including those on regions with a boundary and their generalizations, scattering theory and resonances, time-dependent Hamiltonians and quantum chaos, problems of statistical physics like spin systems, and others are discussed.

The Stability of Matter: From Atoms to Stars

The Stability of Matter: From Atoms to Stars PDF Author: Elliott H. Lieb
Publisher: Springer Science & Business Media
ISBN: 3540420835
Category : Science
Languages : en
Pages : 828

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Book Description
Excellent current review of our knowledge of matter. In this new edition two new sections have been added: quantum electrodynamics and Boson systems.

The Theory of the Quantum World

The Theory of the Quantum World PDF Author: David Gross
Publisher: World Scientific
ISBN: 9814440639
Category : Science
Languages : en
Pages : 388

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Book Description
Ever since 1911, the Solvay Conferences have shaped modern physics. The 25th edition held in October 2011 in Brussels and chaired by David Gross continued this tradition and celebrated the first centennial of this illustrious series of conferences. The development and applications of quantum mechanics have always been the main threads in the history of the Solvay Conferences, hence the 25th Solvay conference gathered many of the leading figures working on a wide variety of profound problems in physics where quantum mechanical effects play a central role. The conference addressed some of the most pressing open questions in the field of physics. The proceedings contain the “rapporteur talks” which give a broad overview with unique insights by distinguished and renowned scientists. These lectures cover the seven sessions: “History and Reflections”, “Foundations of Quantum Mechanics and Quantum Computation”, “Control of Quantum Systems”, “Quantum Condensed Matter”, “Particles and Fields”, “Quantum Gravity and String Theory” and it ended with a general discussion attempting to arrive at a synthesis. In the Solvay tradition, the proceedings also include the prepared comments to the rapporteur talks. The discussions among the participants — some of which quite lively and involving dramatically divergent points of view — have been carefully edited and are reproduced in full. Contents:History and Reflections (M Henneaux, J Heilbron and M Gell-Mann)Foundations of Quantum Mechanics and Quantum Computation (A Aspect, A Leggett and J Preskill)Control of Quantum Systems (P Zoller, I Cirac and S Girvin)Quantum Condensed Matter (B Halperin and S Sachdev)Particles and Fields (H Georgi and F Wilczek)Quantum Gravity and String Theory (J Polchinski, J Maldacena and A Guth)General Discussion and Conclusions (D Gross, A Aspect, P Zoller, B Halperin, H Georgi and J Polchinski) Readership: Graduate students and researchers in physics. Keywords:Quantum Physics;Solvay ConferenceKey Features:Presents a broad overview of the role of quantum mechanics in contemporary physicsThe rapporteur talks, given by the leaders in the field, provide a beautiful review of the state of the art in each of the subfields discussedThe discussions — transcribed in full — provide a unique view on the thoughts of some of the most outstanding physicistsReviews: “This book does full justice to the great reputation of the Solvay Conferences. Some of the discussions are on the same topics as in the old days, many are new. It testifies that fundamental physics is still a thriving field of research.” Gerard 't Hooft Nobel Laureate “The 25th Solvay Conference had an ambitious theme: The theory of the quantum world, including foundations of quantum physics, cosmology, particle physics, condensed matter physics, quantum control and quantum simulations. It was exciting to see the strong connections between those different areas, and this excitement has been captured in these proceedings. This book documents that 100 years after the first Solvay Conference in Physics, quantum physics still poses puzzles and reveals surprises.” Wolfgang Ketterle Nobel Laureate “The 25th Solvay Conference of Physics was an extremely exciting event. It joined the tradition started by the original Solvay meetings at the beginning of the 20th century. A comprehensive overview of the status of Quantum Mechanics and its applications was presented by the world experts and the outstanding problems were discussed deeply. It is clear that this meeting will be as important and as influential as the previous Solvay meetings. The proceedings are an insightful reference about the broad range of topics that were discussed. Just like the previous proceedings, this will also be a document of historic significance.” Nathan Seiberg IAS Princeton “This was one of the most interesting meetings I attended in the last few years. I very much enjoyed being updated on current issues in particle physics, cosmology, and quantum gravity — topics that I wouldn't hear about in conferences that I typically attend. Nearly all talks were presented at an accessible level for the non-specialist, and the extended-discussion format was very informative.” David Wineland Nobel Laureate “Highly selected group of physicists, famous or very promising, were invited to assess recent advances and open problems.” RECENSIONI

Advances in the Theory of Atomic and Molecular Systems

Advances in the Theory of Atomic and Molecular Systems PDF Author: Piotr Piecuch
Publisher: Springer Science & Business Media
ISBN: 9048125960
Category : Science
Languages : en
Pages : 448

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Book Description
Advances in the Theory of Atomic and Molecular Systems, is a collection of contributions presenting recent theoretical and computational developments that provide new insights into the structure, properties, and behavior of a variety of atomic and molecular systems. This volume (subtitled: Conceptual and Computational Advances in Quantum Chemistry) focuses on electronic structure theory and its foundations. This volume is an invaluable resource for faculty, graduate students, and researchers interested in theoretical and computational chemistry and physics, physical chemistry and chemical physics, molecular spectroscopy, and related areas of science and engineering.