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Author : Valentin A. Zagrebnov
Publisher : Springer Nature
ISBN 13 : 303156720X
Total Pages : 879 pages
Book Rating : 4.0/5 (315 download)
Download or read book Trotter-Kato Product Formulæ written by Valentin A. Zagrebnov and published by Springer Nature. This book was released on with total page 879 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : T. E. Govindan
Publisher : Springer Nature
ISBN 13 : 3031427912
Total Pages : 321 pages
Book Rating : 4.0/5 (314 download)
Download or read book Trotter-Kato Approximations of Stochastic Differential Equations in Infinite Dimensions and Applications written by T. E. Govindan and published by Springer Nature. This book was released on with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rolando Rebolledo
Publisher : World Scientific
ISBN 13 : 9814481637
Total Pages : 312 pages
Book Rating : 4.8/5 (144 download)
Download or read book Stochastic Analysis and Mathematical Physics written by Rolando Rebolledo and published by World Scientific. This book was released on 2004-09-15 with total page 312 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: • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) • CC Proceedings — Engineering & Physical Sciences Contents: Rigorous Feynman Path Integrals, with Applications to Quantum Theory, Gauge Fields, and Topological Invariants (S Albeverio et al.)Vassiliev Invariants and Functional Integration without Integration (L H Kauffman)Wiener Analysis and Cyclic Homology (R Léandre)On the Affine Metaplectic Group (O Rask)Open Quantum Systems and Classical Trajectories (R Rebolledo)Fourier-Feynman Transforms on Wiener Spaces (I Yoo et al.)On Quantum Stochastic Dynamics. Some Recent Developments (A W Majewski)Non Adapted Transformations of the Wiener Measure (A B Cruzeiro)and other papers Readership: Academic, specialists in mathematical physics and probability. Keywords:Feynmann Path Integrals;Open Quantum Systems;Quantum Markov Semigroups;Quantum Statistical Mechanics;Wiener Analysis;White Noise Analysis;Operator AlgebrasKey Features:Special survey papers in the area of Feynmann functional integrals. The material of these papers is hardly found in other books as presented herePapers containing a review on recent results on statistical mechanics of open quantum systemsOriginal papers in both, quantum probability as well as in functional path integral approach to quantum mechanics
Author : Michael Demuth
Publisher : Birkhäuser
ISBN 13 : 3034882319
Total Pages : 346 pages
Book Rating : 4.0/5 (348 download)
Download or read book Partial Differential Equations and Spectral Theory written by Michael Demuth and published by Birkhäuser. This book was released on 2012-12-06 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intention of the international conference PDE2000 was to bring together specialists from different areas of modern analysis, mathematical physics and geometry, to discuss not only the recent progress in their own fields but also the interaction between these fields. The special topics of the conference were spectral and scattering theory, semiclassical and asymptotic analysis, pseudodifferential operators and their relation to geometry, as well as partial differential operators and their connection to stochastic analysis and to the theory of semigroups. The scientific advisory board of the conference in Clausthal consisted of M. Ben-Artzi (Jerusalem), Chen Hua (Peking), M. Demuth (Clausthal), T. Ichinose (Kanazawa), L. Rodino (Turin), B.-W. Schulze (Potsdam) and J. Sjöstrand (Paris). The book is aimed at researchers in mathematics and mathematical physics with interests in partial differential equations and all its related fields.
Author : Vadim Adamyan
Publisher : Springer Science & Business Media
ISBN 13 : 3764399198
Total Pages : 490 pages
Book Rating : 4.7/5 (643 download)
Download or read book Modern Analysis and Applications written by Vadim Adamyan and published by Springer Science & Business Media. This book was released on 2009-08-29 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of two volumes containing peer-reviewed research and survey papers based on talks at the International Conference on Modern Analysis and Applications. The papers describe the contemporary development of subjects influenced by Mark Krein.
Author : Themistocles M. Rassias
Publisher : Springer
ISBN 13 : 3030126617
Total Pages : 416 pages
Book Rating : 4.0/5 (31 download)
Download or read book Analysis and Operator Theory written by Themistocles M. Rassias and published by Springer. This book was released on 2019-05-31 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to Tosio Kato’s 100th birthday, this book contains research and survey papers on a broad spectrum of methods, theories, and problems in mathematics and mathematical physics. Survey papers and in-depth technical papers emphasize linear and nonlinear analysis, operator theory, partial differential equations, and functional analysis including nonlinear evolution equations, the Korteweg–de Vries equation, the Navier–Stokes equation, and perturbation theory of linear operators. The Kato inequality, the Kato type matrix limit theorem, the Howland–Kato commutator problem, the Kato-class of potentials, and the Trotter–Kato product formulae are discussed and analyzed. Graduate students, research mathematicians, and applied scientists will find that this book provides comprehensive insight into the significance of Tosio Kato’s impact to research in analysis and operator theory.
Author : Jiro Arafune
Publisher : World Scientific
ISBN 13 : 9789812795106
Total Pages : 528 pages
Book Rating : 4.7/5 (951 download)
Download or read book A Garden of Quanta written by Jiro Arafune and published by World Scientific. This book was released on 2003 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Hiroshi Ezawa / K. Watanabe -- 1. Quantum mechanics. Direct observation of the microscopic world by using phase shifts of electron waves / A. Tonomura -- Electron correlations in atoms: hyperspherical approach to multiply excited states of atoms / T. Morishita and C.D. Lin -- Bifurcation of periodic instantons and quantum-classical transition in a biaxial anisotropy nano-ferromagnet / Y.-H. Nie [und weitere] -- 2. Path integrals and stochastic processes. The Feynman path integral: an historical slice / J.R. Klauder -- Time-sliced approximation to path integral and Lie-Trotter-Kato product formula / T. Ichinose -- Innovation approach to some problems in quantum dynamics / T. Hida and Si Si -- Feynman paths, sticky walls, white noise / L. Streit -- White noise path integrals: applications in polymer entanglement / C.C. Bernido and M.V. Carpio-Bernido -- Double strata of time for construction of path-space measure for stochastic differential equations / T. Nakamura -- Olbers' paradox, wireless telephones, and Poisson random sets. Is the universe finite? / S. Heath and L. Shepp -- 3. Quantum field theory. Nonrelativistic QED at large momentum of photons / F. Hiroshima -- Enhanced binding in models of nonrelativistic quantum field theory / A. Arai -- Recent developments in mathematical methods for models in non-relativistic quantum electrodynamics / M. Hirokawa -- Localization in quantum field theory / S. Nagamachi and E. Brüning -- Remarks on the commutator of quark mass matrices / M. Kobayashi -- Probing extra dimensions with neutrino oscillations / C.S. Lam -- BPS wall in N = 2 SUSY nonlinear sigma model with Eguchi-Hanson manifold / M. Arai [und weitere] -- Current algebra approach to string theory / M. Hatsuda and W. Siegel -- 4. Statistical mechanics. Statistical mechanics of thermodynamic processes / J. Fröhlich [und weitere] -- How to formulate non-equilibrium local states in QFT? - General characterization and extension to curved spacetime - / J. Ojima -- Some applications of renormalization group analysis / H. Watanabe -- Seven-vertex solutions of the colored Yang-Baxter equation / S.-K. Wang and K. Wu -- Brownian motion as a model for B-cell movement / F.W. Wiegel -- The Lorentz force and the Casimir force at finite temperature and Casimir entropy / M. Revzen, K. Nakamura and A. Mann -- 5. Mathematical problems. Information dynamics and its application to recognition process / M. Ohya -- Amenability for weighted Hopf C*-algebras / Y. Nakagami -- The Bessel equation and dissipation / E. Alfinito and G. Vitiello -- 6. History. Simon Stevin and the cultural revolution in the 16th century / Y. Yamamoto
Author : Jaroslav Dittrich
Publisher : Birkhäuser
ISBN 13 : 3034887450
Total Pages : 387 pages
Book Rating : 4.0/5 (348 download)
Download or read book Mathematical Results in Quantum Mechanics written by Jaroslav Dittrich and published by Birkhäuser. This book was released on 2012-12-06 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the QMath 7 Conference on Mathematical Results in Quantum Mechanics held in Prague, Czech Republic in June, 1998. The volume addresses mathematicians and physicists interested in contemporary quantum physics and associated mathematical questions, presenting new results on Schrödinger and Pauli operators with regular, fractal or random potentials, scattering theory, adiabatic analysis, and interesting new physical systems such as photonic crystals, quantum dots and wires.
Author : Valentin A. Zagrebnov
Publisher : Birkhäuser
ISBN 13 : 9783031567193
Total Pages : 0 pages
Book Rating : 4.5/5 (671 download)
Download or read book Trotter-Kato Product Formulæ written by Valentin A. Zagrebnov and published by Birkhäuser. This book was released on 2024-05-29 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book captures a fascinating snapshot of the current state of results about the operator-norm convergent Trotter-Kato Product Formulæ on Hilbert and Banach spaces. It also includes results on the operator-norm convergent product formulæ for solution operators of the non-autonomous Cauchy problems as well as similar results on the unitary and Zeno product formulæ. After the Sophus Lie product formula for matrices was established in 1875, it was generalised to Hilbert and Banach spaces for convergence in the strong operator topology by H. Trotter (1959) and then in an extended form by T. Kato (1978). In 1993 Dzh. L. Rogava discovered that convergence of the Trotter product formula takes place in the operator-norm topology. The latter is the main subject of this book, which is dedicated essentially to the operator-norm convergent Trotter-Kato Product Formulæ on Hilbert and Banach spaces, but also to related results on the time-dependent, unitary and Zeno product formulæ. The book yields a detailed up-to-date introduction into the subject that will appeal to any reader with a basic knowledge of functional analysis and operator theory. It also provides references to the rich literature and historical remarks.
Author : Valentin A. Zagrebnov
Publisher : Springer Nature
ISBN 13 : 3030188779
Total Pages : 320 pages
Book Rating : 4.0/5 (31 download)
Download or read book Gibbs Semigroups written by Valentin A. Zagrebnov and published by Springer Nature. This book was released on 2019-11-17 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the theory of the Gibbs semigroups, which originated in the 1970s and was motivated by the study of strongly continuous operator semigroups with values in the trace-class ideal. The book offers an up-to-date, exhaustive overview of the advances achieved in this theory after half a century of development. It begins with a tutorial introduction to the necessary background material, before presenting the Gibbs semigroups and then providing detailed and systematic information on the Trotter-Kato product formulae in the trace-norm topology. In addition to reviewing the state-of-art concerning the Trotter-Kato product formulae, the book extends the scope of exposition from the trace-class ideal to other ideals. Here, special attention is paid to results on semigroups in symmetrically normed ideals and in the Dixmier ideal. By examining the progress made in Gibbs semigroup theory and in extensions of the Trotter-Kato product formulae to symmetrically normed and Dixmier ideals, the book shares timely and valuable insights for readers interested in pursuing these subjects further. As such, it will appeal to researchers, undergraduate and graduate students in mathematics and mathematical physics.
Author : Valentin Zagrebnov
Publisher : Leuven University Press
ISBN 13 : 9789058673305
Total Pages : 204 pages
Book Rating : 4.6/5 (733 download)
Download or read book Topics in the Theory of Gibbs Semigroups written by Valentin Zagrebnov and published by Leuven University Press. This book was released on 2003 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: One-parameter semigroup theory started to be an important branch of mathematics in the thirties when it was realized that the theory has direct applications to partial differential equations, random processes, infinite dimensional control theory, mathematical physics, etc. It is now generally accepted as an integral part of contemporary functional analysis. Compact strongly continuous semigroups have been an important research subject since a long time, as in almost all applications of partial differential equations with bounded domains the semigroups turn out to be compact. From this point of view, the present volume of the Leuven Notes in Mathematical and Theoretical Physics emphasizes a special subclass of these semigroups. In fact, the focus here is mainly on semigroups acting on a Hilbert space H with values in the trace class ideal C1(H) of bounded operators on H. Historically, this class of semigroups is closely related to quantum statistical mechanics.
Author : Themistocles M. Rassias
Publisher : Springer Nature
ISBN 13 : 3030313395
Total Pages : 694 pages
Book Rating : 4.0/5 (33 download)
Download or read book Mathematical Analysis and Applications written by Themistocles M. Rassias and published by Springer Nature. This book was released on 2019-12-12 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: An international community of experts scientists comprise the research and survey contributions in this volume which covers a broad spectrum of areas in which analysis plays a central role. Contributions discuss theory and problems in real and complex analysis, functional analysis, approximation theory, operator theory, analytic inequalities, the Radon transform, nonlinear analysis, and various applications of interdisciplinary research; some are also devoted to specific applications such as the three-body problem, finite element analysis in fluid mechanics, algorithms for difference of monotone operators, a vibrational approach to a financial problem, and more. This volume is useful to graduate students and researchers working in mathematics, physics, engineering, and economics.
Author : Themistocles M. Rassias
Publisher : Springer
ISBN 13 : 3319898000
Total Pages : 360 pages
Book Rating : 4.3/5 (198 download)
Download or read book Current Research in Nonlinear Analysis written by Themistocles M. Rassias and published by Springer. This book was released on 2018-06-18 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Current research and applications in nonlinear analysis influenced by Haim Brezis and Louis Nirenberg are presented in this book by leading mathematicians. Each contribution aims to broaden reader’s understanding of theories, methods, and techniques utilized to solve significant problems. Topics include: Sobolev Spaces Maximal monotone operators A theorem of Brezis-Nirenberg Operator-norm convergence of the Trotter product formula Elliptic operators with infinitely many variables Pseudo-and quasiconvexities for nonsmooth function Anisotropic surface measures Eulerian and Lagrangian variables Multiple periodic solutions of Lagrangian systems Porous medium equation Nondiscrete Lassonde-Revalski principle Graduate students and researchers in mathematics, physics, engineering, and economics will find this book a useful reference for new techniques and research areas. Haim Brezis and Louis Nirenberg’s fundamental research in nonlinear functional analysis and nonlinear partial differential equations along with their years of teaching and training students have had a notable impact in the field.
Author : Themistocles M. Rassias
Publisher : Springer
ISBN 13 : 9783030126636
Total Pages : 416 pages
Book Rating : 4.1/5 (266 download)
Download or read book Analysis and Operator Theory written by Themistocles M. Rassias and published by Springer. This book was released on 2020-09-03 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to Tosio Kato’s 100th birthday, this book contains research and survey papers on a broad spectrum of methods, theories, and problems in mathematics and mathematical physics. Survey papers and in-depth technical papers emphasize linear and nonlinear analysis, operator theory, partial differential equations, and functional analysis including nonlinear evolution equations, the Korteweg–de Vries equation, the Navier–Stokes equation, and perturbation theory of linear operators. The Kato inequality, the Kato type matrix limit theorem, the Howland–Kato commutator problem, the Kato-class of potentials, and the Trotter–Kato product formulae are discussed and analyzed. Graduate students, research mathematicians, and applied scientists will find that this book provides comprehensive insight into the significance of Tosio Kato’s impact to research in analysis and operator theory.
Author : C C Bernido
Publisher : CRC Press
ISBN 13 : 1000124754
Total Pages : 362 pages
Book Rating : 4.0/5 (1 download)
Download or read book Mathematical Methods of Quantum Physics: 2nd Jagna International Workshop written by C C Bernido and published by CRC Press. This book was released on 2020-12-17 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles are presented, covering a wide range of topics in the mathematical methods of quantum physics. These include infinite dimensional analysis based on white noise, operator algebra methods, Feynman path integrals, quantum mechanics on non-simply connected spaces, recent results in supersymmetric theories, stochastic and quantum dynamics, Yang-Baxter systems, statistical physics, thermo field dynamics, and quantum field theory. The essays are based on lectures contributed for the Second Jagna International Workshop held in honour of Prof. Hiroshi Ezawa, a distinguished physicist, educator, and former president of the Physical Society of Japan.
Author : Kalyan B. Sinha
Publisher : Springer
ISBN 13 : 9811048649
Total Pages : 169 pages
Book Rating : 4.8/5 (11 download)
Download or read book Theory of Semigroups and Applications written by Kalyan B. Sinha and published by Springer. This book was released on 2017-07-12 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents major topics in semigroups, such as operator theory, partial differential equations, harmonic analysis, probability and statistics and classical and quantum mechanics, and applications. Along with a systematic development of the subject, the book emphasises on the explorations of the contact areas and interfaces, supported by the presentations of explicit computations, wherever feasible. Designed into seven chapters and three appendixes, the book targets to the graduate and senior undergraduate students of mathematics, as well as researchers in the respective areas. The book envisages the pre-requisites of a good understanding of real analysis with elements of the theory of measures and integration, and a first course in functional analysis and in the theory of operators. Chapters 4 through 6 contain advanced topics, which have many interesting applications such as the Feynman–Kac formula, the central limit theorem and the construction of Markov semigroups. Many examples have been given in each chapter, partly to initiate and motivate the theory developed and partly to underscore the applications. The choice of topics in this vastly developed book is a difficult one, and the authors have made an effort to stay closer to applications instead of bringing in too many abstract concepts.
Author : Boldrighini, Carlo
Publisher : Universitätsverlag Potsdam
ISBN 13 : 3869564857
Total Pages : 214 pages
Book Rating : 4.8/5 (695 download)
Download or read book Proceedings of the XI international conference Stochastic and Analytic Methods in Mathematical Physics written by Boldrighini, Carlo and published by Universitätsverlag Potsdam. This book was released on 2020 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: The XI international conference Stochastic and Analytic Methods in Mathematical Physics was held in Yerevan 2 – 7 September 2019 and was dedicated to the memory of the great mathematician Robert Adol’fovich Minlos, who passed away in January 2018. The present volume collects a large majority of the contributions presented at the conference on the following domains of contemporary interest: classical and quantum statistical physics, mathematical methods in quantum mechanics, stochastic analysis, applications of point processes in statistical mechanics. The authors are specialists from Armenia, Czech Republic, Denmark, France, Germany, Italy, Japan, Lithuania, Russia, UK and Uzbekistan. A particular aim of this volume is to offer young scientists basic material in order to inspire their future research in the wide fields presented here.
