Download or read book Stochastic Methods and Computer Techniques in Quantum Dynamics written by H. Mitter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the written versions of lectures held at the "23. Internationale Universit~tswochen fUr Kernphysik" in Schladming, Austria, in February 1984. Once again the generous support of our sponsors, the Austrian Ministry of Science and Research, the Styrian Government and others, had made it possible to organize this school. The aim of the topics chosen for the meeting was to present different aspects of stochastic methods and techniques. These methods have opened up new ways to attack problems in a broad field ranging from quantum mechanics to quantum field theory. Thanks to the efforts of the lecturers it was possible to take this development into account and show relations to areas where stochastic methods have been used for a long time. Due to limited space only short manuscript versions of the many seminars presented could be included. The lecture notes were reexamined by the authors after the school and are now published in their final form. It is a pleasure to thank all the lecturers for their efforts which made it possible to speed up publication. Thanks are also due to Mrs. Neuhold for her careful typing of the notes. H. Mitter L. Pittner Acta Physica Austriaca, Suppl. XXVI, 3-52 (1984) © by Springer-Verlag 1984 STOCHASTIC PROCESSES - QUANTUM PHYSICS+ by L. STREIT Universitat Bielefeld BiBoS D-4800 Bielefeld. FR Germany I.
Download or read book Stochastic Methods in Quantum Mechanics written by Stanley P. Gudder and published by Courier Corporation. This book was released on 2014-05-05 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory survey of stochastic methods and techniques in quantum physics, functional analysis, probability theory, communications, and electrical engineering also serves as a useful and comprehensive reference volume. 1979 edition.
Download or read book Stochastic Methods in Quantum Mechanics written by Stanley Gudder and published by . This book was released on 2014-01-01 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical developments in such fields as optical coherence, communication engineering, and laser technology have developed from the applications of stochastic methods. This introductory survey offers a broad view of some of the most useful stochastic methods and techniques in quantum physics, functional analysis, probability theory, communications, and electrical engineering. Starting with a history of quantum mechanics, it examines both the quantum logic approach and the operational approach, with explorations of random fields and quantum field theory. The text assumes a basic knowledge of functional analysis; although some experience with probability theory and quantum mechanics is helpful, necessary ideas and results from these two disciplines are developed as needed. A selection of exercises follows each chapter, and proofs to most of the theorems are included. A comprehensive bibliography allows researchers and students to continue in the direction of their individual interests.
Download or read book Stochastic Processes in Quantum Physics written by Masao Nagasawa and published by Birkhäuser. This book was released on 2012-12-06 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "The text is almost self-contained and requires only an elementary knowledge of probability theory at the graduate level. The book under review is recommended to mathematicians, physicists and graduate students interested in mathematical physics and stochastic processes. Furthermore, some selected chapters can be used as sub-textbooks for advanced courses on stochastic processes, quantum theory and quantum chemistry." ZAA
Download or read book Quantum Techniques In Stochastic Mechanics written by Baez John C and published by World Scientific. This book was released on 2018-02-14 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: We introduce the theory of chemical reaction networks and their relation to stochastic Petri nets — important ways of modeling population biology and many other fields. We explain how techniques from quantum mechanics can be used to study these models. This relies on a profound and still mysterious analogy between quantum theory and probability theory, which we explore in detail. We also give a tour of key results concerning chemical reaction networks and Petri nets. Contents: Stochastic Petri Nets The Rate Equation The Master Equation Probabilities vs Amplitudes Annihilation and Creation Operators An Example from Population Biology Feynman Diagrams The Anderson–Craciun–Kurtz Theorem An Example of the Anderson–Craciun–Kurtz Theorem A Stochastic Version of Noether's Theorem Quantum Mechanics vs Stochastic Mechanics Noether's Theorem: Quantum vs Stochastic Chemistry and the Desargues Graph Graph Laplacians Dirichlet Operators and Electrical Circuits Perron–Frobenius Theory The Deficiency Zero Theorem Example of the Deficiency Zero Theorem Example of the Anderson–Craciun–Kurtz Theorem The Deficiency of a Reaction Network Rewriting the Rate Equation The Rate Equation and Markov Processes Proof of the Deficiency Zero Theorem Noether's Theorem for Dirichlet Operators Computation and Petri Nets Summary Table Readership: Graduate students and researchers in the field of quantum and mathematical physics. Keywords: Stochastic;Quantum;Markov Process;Chemical Reaction Network;Petri NetReview: Key Features: It's a light-hearted introduction to a deep analogy between probability theory and quantum theory It explains how stochastic Petri nets can be used in modeling in biology, chemistry, and many other fields It gives new proofs of some fundamental theorems about chemical reaction networks
Download or read book Quantum Dynamics with Trajectories written by Robert E. Wyatt and published by Springer Science & Business Media. This book was released on 2006-05-28 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a rapidly developing field to which the author is a leading contributor New methods in quantum dynamics and computational techniques, with applications to interesting physical problems, are brought together in this book Useful to both students and researchers
Download or read book Stochastic Quantization written by Mikio Namiki and published by Springer Science & Business Media. This book was released on 2008-10-04 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook on stochastic quantization which was originally proposed by G. Parisi and Y. S. Wu in 1981 and then developed by many workers. I assume that the reader has finished a standard course in quantum field theory. The Parisi-Wu stochastic quantization method gives quantum mechanics as the thermal-equilibrium limit of a hypothetical stochastic process with respect to some fictitious time other than ordinary time. We can consider this to be a third method of quantization; remarkably different from the conventional theories, i. e, the canonical and path-integral ones. Over the past ten years, we have seen the technical merits of this method in quantizing gauge fields and in performing large numerical simulations, which have never been obtained by the other methods. I believe that the stochastic quantization method has the potential to extend the territory of quantum mechanics and of quantum field theory. However, I should remark that stochastic quantization is still under development through many mathematical improvements and physical applications, and also that the fictitious time of the theory is only a mathematical tool, for which we do not yet know its origin in the physical background. For these reasons, in this book, I attempt to describe its theoretical formulation in detail as well as practical achievements.
Download or read book Nonlocal Quantum Field Theory and Stochastic Quantum Mechanics written by K.H. Namsrai and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: over this stochastic space-time leads to the non local fields considered by G. V. Efimov. In other words, stochasticity of space-time (after being averaged on a large scale) as a self-memory makes the theory nonlocal. This allows one to consider in a unified way the effect of stochasticity (or nonlocality) in all physical processes. Moreover, the universal character of this hypothesis of space-time at small distances enables us to re-interpret the dynamics of stochastic particles and to study some important problems of the theory of stochastic processes [such as the relativistic description of diffusion, Feynman type processes, and the problem of the origin of self-turbulence in the motion of free particles within nonlinear (stochastic) mechanics]. In this direction our approach (Part II) may be useful in recent developments of the stochastic interpretation of quantum mechanics and fields due to E. Nelson, D. Kershaw, I. Fenyes, F. Guerra, de la Pena-Auerbach, J. -P. Vigier, M. Davidson, and others. In particular, as shown by N. Cufaro Petroni and J. -P. Vigier, within the discussed approach, a causal action-at-distance interpretation of a series of experiments by A. Aspect and his co-workers indicating a possible non locality property of quantum mechanics, may also be obtained. Aspect's results have recently inspired a great interest in different nonlocal theories and models devoted to an understanding of the implications of this nonlocality. This book consists of two parts.
Download or read book Stochastic Processes Physics and Geometry New Interplays I written by Sergio Albeverio and published by American Mathematical Soc.. This book was released on 2000 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume and "IStochastic Processes, Physics and Geometry: New Interplays II" present state-of-the-art research currently unfolding at the interface between mathematics and physics. Included are select articles from the international conference held in Leipzig (Germany) in honor of Sergio Albeverio's sixtieth birthday. The theme of the conference, "Infinite Dimensional (Stochastic) Analysis and Quantum Physics", was chosen to reflect Albeverio's wide-ranging scientific interests. The articles in these books reflect that broad range of interests and provide a detailed overview highlighting the deep interplay among stochastic processes, mathematical physics, and geometry. The contributions are written by internationally recognized experts in the fields of stochastic analysis, linear and nonlinear (deterministic and stochastic) PDEs, infinite dimensional analysis, functional analysis, commutative and noncommutative probability theory, integrable systems, quantum and statistical mechanics, geometric quantization, and neural networks. Also included are applications in biology and other areas. Most of the contributions are high-level research papers. However, there are also some overviews on topics of general interest. The articles selected for publication in these volumes were specifically chosen to introduce readers to advanced topics, to emphasize interdisciplinary connections, and to stress future research directions. Volume I contains contributions from invited speakers; Volume II contains additional contributed papers. Members of the Canadian Mathematical Society may order at the AMS member price.
Download or read book Ideas and Methods in Quantum and Statistical Physics Volume 2 written by Sergio Albeverio and published by Cambridge University Press. This book was released on 1992-06-26 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of essays by many of the closest co-workers of Raphael Høegh-Krohn.
Download or read book Quantum Probability and Applications II written by Luigi Accardi and published by Springer. This book was released on 2006-11-14 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stochastic Quantum Mechanics and Quantum Spacetime written by Eduard Prugovečki and published by Springer Science & Business Media. This book was released on 1984-01-31 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principal intent of this monograph is to present in a systematic and self-con tained fashion the basic tenets, ideas and results of a framework for the consistent unification of relativity and quantum theory based on a quantum concept of spacetime, and incorporating the basic principles of the theory of stochastic spaces in combination with those of Born's reciprocity theory. In this context, by the physicial consistency of the present framework we mean that the advocated approach to relativistic quantum theory relies on a consistent probabilistic interpretation, which is proven to be a direct extrapolation of the conventional interpretation of nonrelativistic quantum mechanics. The central issue here is that we can derive conserved and relativistically convariant probability currents, which are shown to merge into their nonrelativistic counterparts in the nonrelativistic limit, and which at the same time explain the physical and mathe matical reasons behind the basic fact that no probability currents that consistently describe pointlike particle localizability exist in conventional relativistic quantum mechanics. Thus, it is not that we dispense with the concept oflocality, but rather the advanced central thesis is that the classical concept of locality based on point like localizability is inconsistent in the realm of relativistic quantum theory, and should be replaced by a concept of quantum locality based on stochastically formulated systems of covariance and related to the aforementioned currents.
Download or read book Mathematical Feynman Path Integrals and Their Applications written by Sonia Mazzucchi and published by World Scientific. This book was released on 2009 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although more than 60 years have passed since their first appearance, Feynman path integrals have yet to lose their fascination and luster. They are not only a formidable instrument of theoretical physics, but also a mathematical challenge; in fact, several mathematicians in the last 40 years have devoted their efforts to the rigorous mathematical definition of Feynman's ideas. This volume provides a detailed, self-contained description of the mathematical difficulties as well as the possible techniques used to solve these difficulties. In particular, it gives a complete overview of the mathematical realization of Feynman path integrals in terms of well-defined functional integrals, that is, the infinite dimensional oscillatory integrals. It contains the traditional results on the topic as well as the more recent developments obtained by the author. Mathematical Feynman Path Integrals and Their Applications is devoted to both mathematicians and physicists, graduate students and researchers who are interested in the problem of mathematical foundations of Feynman path integrals.
Download or read book High Energy Physics Index written by and published by . This book was released on 1988 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stochastic Analysis and Applications in Physics written by Ana Isabel Cardoso and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Study Institute, Funchal, Madeira, Portugal, August 6--19, 1993
Download or read book Stochastic Analysis and Mathematical Physics SAMP ANESTOC 2002 written by Richard Phillips Feynman and published by World Scientific. This book was released on 2004 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book collects a series of papers centered on two main streams: Feynman path integral approach to Quantum Mechanics and statistical mechanics of quantum open systems. Key authors discuss the state-of-the-art within their fields of expertise. In addition, the volume includes a number of contributed papers with new results, which have been thoroughly refereed. The contributions in this volume highlight emergent research in the area of stochastic analysis and mathematical physics, focusing, in particular on Feynman functional integral approach and, on the other hand, in quantum probability. The book is addressed to an audience of mathematical physicists, as well as specialists in probability theory, stochastic analysis and operator algebras. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences."
Download or read book Between Quantum and Cosmos written by Alwyn Van der Merwe and published by Princeton University Press. This book was released on 2017-03-14 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: The forty papers collected here honor one of the great scientists of our time--John Archibald Wheeler. In this volume are gathered the six issues of the journal Foundations of Physics (February through July 1986) that celebrate his seventy-fifth birthday. Enlivened by Professor Wheeler's celebrated drawings, the book captures and illuminates his many contributions to physics, including his discovery of the scattering matrix and his elucidation, with Niels Bohr, of the mechanism of nuclear fission, his many contributions to Einstein's theory of gravity (for instance, the black hole), his deep insights into quantum theory and measurement (the elementary quantum phenomenon), and his efforts to explain the origins of the quantum postulate and quantum gravity (the meaning circuit and the Wheeler-DeWitt Equation). The majority of the papers reflect and build on Professor Wheeler's revolutionary ideas. Many scientists are convinced that his insights into the foundation of modern-day physics will induce a profound change in our perception of the universe. This book will appeal to scientists and philosophers who wish to look at one man's rendering of the "big picture" through the eyes of his colleagues. The work is prefaced by a compilation of quotes from Professor Wheeler, edited by Kip S. Thorne and Wojciech Zurek. The contributors to Between Quantum and Cosmos are M. Alexander, A. Anderson, H. H. Barschall, J. D. Bekenstein, C. H. Bennett, P. G. Bergmann, V. B. Braginsky, D. R. Brill, L. Brown, I. Ciufolini, L. Cohen, M. Demianski, D. Deutsch, B. DeWitt, C. DeWitt-Morette, R. H. Dicke, B. d'Espagnat, R. P. Feynman, J. Geheniau, U. H. Gerlach, R. Geroch, J. Glimm, J. B. Hartle, F. W. Hehl, M. Henneaux, P. A. Hogan, S. Hojman, J. Isenberg, F. Ya. Khalili, A. Kheyfets, K. V. Kuchar, R. Landauer, S. G. Low, V. N. Lukash, B. Mashhoon, R. A. Matzner, J. D. McCrea, A. Mezzacappa, W. A. Miller, Y. Ne'eman, I. D. Novikov, A. Peres, I. Prigogine, I. Robinson, L. S. Schulman, M. O. Scully, D. H. Sharp, L. C. Shepley, A. Y. Shiekh, C. Teitelboim, E. Teller, K. S. Thorne, W. G. Unruh, R. M. Wald, L. Wilets, W. K. Wootters, J. W. York, Jr., and W. H. Zurek. Originally published in 1988. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
