Mathematical Challenges Of Zero Range Physics
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| Author | : Alessandro Michelangeli |
| Publisher | : Springer Nature |
| Total Pages | : 331 |
| Release | : 2021-02-04 |
| Genre | : Science |
| ISBN | : 3030604535 |
Since long over the decades there has been a large transversal community of mathematicians grappling with the sophisticated challenges of the rigorous modelling and the spectral and scattering analysis of quantum systems of particles subject to an interaction so much localised to be considered with zero range. Such a community is experiencing fruitful and inspiring exchanges with experimental and theoretical physicists. This volume reflects such spirit, with a diverse range of original contributions by experts, presenting an up-to-date collection of most relevant results and challenging open problems. It has been conceived with the deliberate two-fold purpose of serving as an updated reference for recent results, mathematical tools, and the vast related literature on the one hand, and as a bridge towards several key open problems that will surely form the forthcoming research agenda in this field.
| Author | : Oswaal Editorial Board |
| Publisher | : Oswaal Books |
| Total Pages | : 783 |
| Release | : 2023-10-28 |
| Genre | : Study Aids |
| ISBN | : 9359580988 |
Description of the product • Chapter-wise and Topic-wise presentation • Chapter-wise Objectives: A sneak peek into the chapter • Mind Map: A single page snapshot of the entire chapter • Revision Notes: Concept based study materials • Tips & Tricks: Useful guidelines for attempting each question perfectly • Some Commonly Made Errors: Most common and unidentified errors are focused • Expert Advice: Oswaal Expert Advice on how to score more • Oswaal QR Codes: For Quick Revision on your Mobile Phones and Tablets
| Author | : Astrid Hilbert |
| Publisher | : Springer Nature |
| Total Pages | : 390 |
| Release | : 2023-04-02 |
| Genre | : Mathematics |
| ISBN | : 3031140311 |
Sergio Albeverio gave important contributions to many fields ranging from Physics to Mathematics, while creating new research areas from their interplay. Some of them are presented in this Volume that grew out of the Random Transformations and Invariance in Stochastic Dynamics Workshop held in Verona in 2019. To understand the theory of thermo- and fluid-dynamics, statistical mechanics, quantum mechanics and quantum field theory, Albeverio and his collaborators developed stochastic theories having strong interplays with operator theory and functional analysis. His contribution to the theory of (non Gaussian)-SPDEs, the related theory of (pseudo-)differential operators, and ergodic theory had several impacts to solve problems related, among other topics, to thermo- and fluid dynamics. His scientific works in the theory of interacting particles and its extension to configuration spaces lead, e.g., to the solution of open problems in statistical mechanics and quantum field theory. Together with Raphael Hoegh Krohn he introduced the theory of infinite dimensional Dirichlet forms, which nowadays is used in many different contexts, and new methods in the theory of Feynman path integration. He did not fear to further develop different methods in Mathematics, like, e.g., the theory of non-standard analysis and p-adic numbers.
| Author | : Evgeny V. Doktorov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 413 |
| Release | : 2007-05-19 |
| Genre | : Science |
| ISBN | : 1402061404 |
This monograph systematically develops and considers the so-called "dressing method" for solving differential equations (both linear and nonlinear), a means to generate new non-trivial solutions for a given equation from the (perhaps trivial) solution of the same or related equation. Throughout, the text exploits the "linear experience" of presentation, with special attention given to the algebraic aspects of the main mathematical constructions and to practical rules of obtaining new solutions.
| Author | : Mark Fannes |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 467 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 1461524601 |
This volume contains the proceedings of a five-day NATO Advanced Research Workshop "On Three Levels, the mathematical physics of micro-, meso-, and macro phenomena," conducted from July 19 to 23 in Leuven, Belgium. The main purpose of the workshop was to bring together and to confront where relevant, classical and quantum approaches in the rigorous study of the relation between the various levels of physical description. The reader will find here discussions on a variety of topics involving a broad range of scales. For the micro-level, contributions are presented on models of reaction-diffusion pro cesses, quantum groups and quantum spin systems. The reports on quantum disorder, the quantum Hall effect, semi-classical approaches of wave mechanics and the random Schrodinger equation can be situated on the meso-level. Discussions on macroscopic quantum effects and large scale fluctuations are dealing with the macroscopic level of description. These three levels are however not independent and emphasis is put on relating these scales of description. This is especially the case for the contributions on kinetic and hydrodynamicallimits, the discussions on large deviations and the strong and weak coupling limits. The advisory board was composed of J.L. Lebowitz, J.T. Lewis and E.H. Lieb. The organizing committee was formed by Ph.A. Martin, G.L. Sewell, E.R. Speer and A.
| Author | : Stanley Rabinowitz |
| Publisher | : MathPro Press |
| Total Pages | : 548 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 9780962640124 |
| Author | : Pavel Kurasov |
| Publisher | : Springer Nature |
| Total Pages | : 627 |
| Release | : 2020-07-14 |
| Genre | : Mathematics |
| ISBN | : 3030315312 |
Boris Pavlov (1936-2016), to whom this volume is dedicated, was a prominent specialist in analysis, operator theory, and mathematical physics. As one of the most influential members of the St. Petersburg Mathematical School, he was one of the founders of the Leningrad School of Non-self-adjoint Operators. This volume collects research papers originating from two conferences that were organized in memory of Boris Pavlov: “Spectral Theory and Applications”, held in Stockholm, Sweden, in March 2016, and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016” held at the Euler Institute in St. Petersburg, Russia, in August 2016. The volume also includes water-color paintings by Boris Pavlov, some personal photographs, as well as tributes from friends and colleagues.
| Author | : Sumit Kumar |
| Publisher | : Blue Rose Publishers |
| Total Pages | : 301 |
| Release | : 2022-08-30 |
| Genre | : Science |
| ISBN | : |
Problems in Physics and Mathematics, is a basic academic Test-Bank intended to 10+2 students and aspirants of Engineering (B.Tech-Programme) like JEE (Advanced), JEE (Main) and Medical (MBBS-Programme) like NEET (UG) entrance examinations. But this book can be used for preparing competitions vis, UPSC, State Commissions, NTA, UGC-CSIR, NET-JRF, GATE, JEST, TIFR, BARC, ISRO, JAM, SAT, GRE, Olympiads, Universities Undergraduate or Postgraduate or Research Programmes at various levels where Physics and Mathematics predominates.
| Author | : IAkov Grigorevich Sinai |
| Publisher | : World Scientific |
| Total Pages | : 374 |
| Release | : 1991 |
| Genre | : Science |
| ISBN | : 9789810205539 |
This text consists of very high quality articles which not only give a very good account of the field of statistical mechanics in the Soviet Union, but also provide stimulating materials for researchers working on this topic.
| Author | : Federico Bonetto |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 346 |
| Release | : 2018-10-24 |
| Genre | : Mathematics |
| ISBN | : 1470436817 |
This volume contains the proceedings of the QMATH13: Mathematical Results in Quantum Physics conference, held from October 8–11, 2016, at the Georgia Institute of Technology, Atlanta, Georgia. In recent years, a number of new frontiers have opened in mathematical physics, such as many-body localization and Schrödinger operators on graphs. There has been progress in developing mathematical techniques as well, notably in renormalization group methods and the use of Lieb–Robinson bounds in various quantum models. The aim of this volume is to provide an overview of some of these developments. Topics include random Schrödinger operators, many-body fermionic systems, atomic systems, effective equations, and applications to quantum field theory. A number of articles are devoted to the very active area of Schrödinger operators on graphs and general spectral theory of Schrödinger operators. Some of the articles are expository and can be read by an advanced graduate student.
