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Mathematical Challenges of Zero-Range Physics

Mathematical Challenges of Zero-Range Physics PDF Author: Alessandro Michelangeli
Publisher: Springer Nature
ISBN: 3030604535
Category : Science
Languages : en
Pages : 331

Book Description
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.

Mathematical Challenges of Zero-Range Physics

Mathematical Challenges of Zero-Range Physics PDF Author: Alessandro Michelangeli
Publisher: Springer Nature
ISBN: 3030604535
Category : Science
Languages : en
Pages : 331

Book Description
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.

From Complex Analysis to Operator Theory: A Panorama

From Complex Analysis to Operator Theory: A Panorama PDF Author: Malcolm Brown
Publisher: Springer Nature
ISBN: 3031311396
Category : Mathematics
Languages : en
Pages : 731

Book Description
This volume is dedicated to the memory of Sergey Naboko (1950-2020). In addition to original research contributions covering the vast areas of interest of Sergey Naboko, it includes personal reminiscences and comments on the works and legacy of Sergey Naboko’s scientific achievements. Areas from complex analysis to operator theory, especially, spectral theory, are covered, and the papers will inspire current and future researchers in these areas.

Oswaal NCERT Exemplar (Problems - Solutions) Class 11 Physics, Chemistry and Mathematics (Set of 3 Books) For 2024 Exam

Oswaal NCERT Exemplar (Problems - Solutions) Class 11 Physics, Chemistry and Mathematics (Set of 3 Books) For 2024 Exam PDF Author: Oswaal Editorial Board
Publisher: Oswaal Books
ISBN: 9359580988
Category : Study Aids
Languages : en
Pages : 783

Book Description
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

Quantum and Stochastic Mathematical Physics

Quantum and Stochastic Mathematical Physics PDF Author: Astrid Hilbert
Publisher: Springer Nature
ISBN: 3031140311
Category : Mathematics
Languages : en
Pages : 390

Book Description
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.

Mathematical Problems in Theoretical Physics

Mathematical Problems in Theoretical Physics PDF Author: Robert Schrader
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 460

Book Description


A Dressing Method in Mathematical Physics

A Dressing Method in Mathematical Physics PDF Author: Evgeny V. Doktorov
Publisher: Springer Science & Business Media
ISBN: 1402061404
Category : Science
Languages : en
Pages : 413

Book Description
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.

On Three Levels

On Three Levels PDF Author: Mark Fannes
Publisher: Springer Science & Business Media
ISBN: 1461524601
Category : Science
Languages : en
Pages : 467

Book Description
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.

Index to Mathematical Problems, 1975-1979

Index to Mathematical Problems, 1975-1979 PDF Author: Stanley Rabinowitz
Publisher: MathPro Press
ISBN: 9780962640124
Category : Mathematics
Languages : en
Pages : 548

Book Description


Problems in Physics and Mathematics

Problems in Physics and Mathematics PDF Author: Sumit Kumar
Publisher: Blue Rose Publishers
ISBN:
Category : Science
Languages : en
Pages : 301

Book Description
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.

Mathematical Problems of Statistical Mechanics

Mathematical Problems of Statistical Mechanics PDF Author: IAkov Grigorevich Sinai
Publisher: World Scientific
ISBN: 9789810205539
Category : Science
Languages : en
Pages : 374

Book Description
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.