Mathematical Physics Research At The Cutting Edge

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Mathematical Physics Research at the Cutting Edge

Author : Charles V.. Benton
Publisher : Unknown
Page : 272 pages
File Size : 45,5 Mb
Release : 2004
Category : Electronic
ISBN : 9791590339397

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Mathematical Physics Research at the Cutting Edge by Charles V.. Benton Pdf

Mathematical Physics Research at the Cutting Edge

Author : Charles V. Benton
Publisher : Nova Publishers
Page : 286 pages
File Size : 44,8 Mb
Release : 2004
Category : Mathematics
ISBN : 1590339398

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Mathematical Physics Research at the Cutting Edge by Charles V. Benton Pdf

Physics and mathematics have always been closely intertwined, with developments in one field frequently inspiring the other. Currently, there are many unsolved problems in physics which will likely require innovations in mathematical physics. Mathematical physics is concerned with problems in statistical mechanics, atomic and molecular physics, quantum field theory, and, in general, with the mathematical foundations of theoretical physics. mechanics (both nonrelativistic and relativistic), atomic and molecular physics, the existence and properties of the phases of model ferromagnets, the stability of matter, the theory of symmetry and symmetry breaking in quantum field theory (both in general and in concrete models), and mathematical developments in functional analysis and algebra to which such subjects lead. This book presents leading-edge research in this fast-moving field. Structure of the Kalb-Ramond Gauge Symmetry and Spinor Representations; Group Theoretical Interpretation of CPT-Theorem; Cross Recurrence Plots and Their Applications; Analytical Solutions of the Radiative Transfer Equation in One-dimensional Spherical Geometry With Central Symmetry; Hyperspherical Functions and Harmonic Analysis on the Lorentz Group; The Next Stage: Quantum Game Theory; Index.

Mathematical Physics Research on the Leading Edge

Author : Charles V.. Benton
Publisher : Unknown
Page : 192 pages
File Size : 53,7 Mb
Release : 2004
Category : Electronic
ISBN : 9791590339052

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Mathematical Physics Research on the Leading Edge by Charles V.. Benton Pdf

Mathematical Physics Research on the Leading Edge

Author : Charles V. Benton
Publisher : Nova Biomedical Books
Page : 0 pages
File Size : 53,8 Mb
Release : 2004
Category : Mathematical physics
ISBN : 1590339053

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Mathematical Physics Research on the Leading Edge by Charles V. Benton Pdf

Physics and mathematics have always been closely intertwined, with developments in one field frequently inspiring the other. Currently, there are many unsolved problems in physics which will likely require new innovations in mathematical physics. Mathematical physics is concerned with problems in statistical mechanics, atomic and molecular physics, quantum field theory, and, in general, with the mathematical foundations of theoretical physics. This includes such subjects as scattering theory for n-bodies, quantum mechanics (both non-relativistic and relativistic), atomic and molecular physics, the existence and properties of the phases of model ferromagnets, the stability of matter, the theory of symmetry and symmetry breaking in quantum field theory (both in general and in concrete models), and mathematical developments in functional analysis and algebra to which such subjects lead. This book presents leading-edge research in this fast-moving field.

From Quantum to Cosmos

Author : Neil Turok
Publisher : Faber & Faber
Page : 156 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9780571299492

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From Quantum to Cosmos by Neil Turok Pdf

In this visionary book, Neil Turok explores the great discoveries of the past three centuries - from the classical mechanics of Newton; to the nature of light; to the bizarre world of the quantum; to the evolution of the cosmos; and even the recent findings of Higgs bosons at the Large Hadron Collider. Each new discovery has, over time, yielded new technologies that have transformed society. Now, he argues, we are on the cusp of another major change: the coming quantum revolution that will supplant our digital age. Facing this new world, Turok calls for creatively re-inventing the way advanced knowledge is developed and shared, and opening access to the vast, untapped pools of intellectual talent in the developing world. Scientific research, training, and outreach are vital to our future economy, as well as powerful forces for peaceful global progress. Elegantly written and highly inspirational, The Universe Within is, above all, about the future - of science, of society, and of ourselves.

Analytic Trends in Mathematical Physics

Author : Houssam Abdul-Rahman,Robert Sims,Amanda Young
Publisher : American Mathematical Soc.
Page : 206 pages
File Size : 45,7 Mb
Release : 2020-01-06
Category : Education
ISBN : 9781470448417

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Analytic Trends in Mathematical Physics by Houssam Abdul-Rahman,Robert Sims,Amanda Young Pdf

This volume contains the proceedings of the Arizona School of Analysis and Mathematical Physics, held from March 5–9, 2018, at the University of Arizona, Tucson, Arizona. A main goal of this school was to introduce graduate students and postdocs to exciting topics of current research that are both influenced by physical intuition and require the use of cutting-edge mathematics. The articles in this volume reflect recent progress and innovative techniques developed within mathematical physics. Two works investigate spectral gaps of quantum spin systems. Specifically, Abdul-Rahman, Lemm, Lucia, Nachtergaele, and Young consider decorated AKLT models, and Lemm demonstrates a finite-size criterion for D D-dimensional models. Bachmann, De Roeck, and Fraas summarize a recent proof of the adiabatic theorem, while Bachmann, Bols, De Roeck, and Fraas discuss linear response for interacting Hall insulators. Models on general graphs are the topic of the articles by Fischbacher, on higher spin XXZ, and by Latushkin and Sukhtaiev, on an index theorem for Schrödinger operators. Probabilistic applications are the focus of the articles by DeMuse and Yin, on exponential random graphs, by Saenz, on KPZ universality, and by Stolz, on disordered quantum spin chains. In all, the diversity represented here is a testament to the enthusiasm this rich field of mathematical physics generates.

Theory and Simulation in Physics for Materials Applications

Author : Elena V. Levchenko,Yannick J. Dappe,Guido Ori
Publisher : Springer Nature
Page : 292 pages
File Size : 43,7 Mb
Release : 2020-02-14
Category : Technology & Engineering
ISBN : 9783030377908

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Theory and Simulation in Physics for Materials Applications by Elena V. Levchenko,Yannick J. Dappe,Guido Ori Pdf

This book provides a unique and comprehensive overview of the latest advances, challenges and accomplishments in the rapidly growing field of theoretical and computational materials science. Today, an increasing number of industrial communities rely more and more on advanced atomic-scale methods to obtain reliable predictions of materials properties, complement qualitative experimental analyses and circumvent experimental difficulties. The book examines some of the latest and most advanced simulation techniques currently available, as well as up-to-date theoretical approaches adopted by a selected panel of twelve international research teams. It covers a wide range of novel and advanced materials, exploring their structural, elastic, optical, mass and electronic transport properties. The cutting-edge techniques presented appeal to physicists, applied mathematicians and engineers interested in advanced simulation methods in materials science. The book can also be used as additional literature for undergraduate and postgraduate students with majors in physics, chemistry, applied mathematics and engineering.

Trends in Mathematical Physics

Author : Vasilios Alexiades
Publisher : Unknown
Page : 527 pages
File Size : 54,7 Mb
Release : 1999
Category : Mathematical physics
ISBN : 1470438046

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Trends in Mathematical Physics by Vasilios Alexiades Pdf

This volume presents the proceedings of the conference on "Trends in Mathematical Physics" held at the University of Tennessee. The conference drew international experts from mathematical and computational physics. The following topics were addressed: superstrings and quantum gravity, pattern formation, and crystallographic topology. The cutting-edge research reflected in the extensive surveys in the book are written for a diverse audience.

Current Trends in Operator Theory and its Applications

Author : Joseph A. Ball,J. William Helton,Martin Klaus,Leiba Rodman
Publisher : Birkhäuser
Page : 604 pages
File Size : 51,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034878814

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Current Trends in Operator Theory and its Applications by Joseph A. Ball,J. William Helton,Martin Klaus,Leiba Rodman Pdf

Many developments on the cutting edge of research in operator theory and its applications are reflected in this collection of original and review articles. Particular emphasis lies on highlighting the interplay between operator theory and applications from other areas, such as multi-dimensional systems and function theory of several complex variables, distributed parameter systems and control theory, mathematical physics, wavelets, and numerical analysis.

Multi-scale Analysis for Random Quantum Systems with Interaction

Author : Victor Chulaevsky,Yuri Suhov
Publisher : Springer Science & Business Media
Page : 246 pages
File Size : 50,5 Mb
Release : 2013-09-20
Category : Mathematics
ISBN : 9781461482260

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Multi-scale Analysis for Random Quantum Systems with Interaction by Victor Chulaevsky,Yuri Suhov Pdf

The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of several interacting particles, let alone systems with positive spatial particle density. Creating a consistent theory of disorder in multi-particle quantum systems is an important and challenging problem that largely remains open. Multi-scale Analysis for Random Quantum Systems with Interaction presents the progress that had been recently achieved in this area. The main focus of the book is on a rigorous derivation of the multi-particle localization in a strong random external potential field. To make the presentation accessible to a wider audience, the authors restrict attention to a relatively simple tight-binding Anderson model on a cubic lattice Zd. This book includes the following cutting-edge features: an introduction to the state-of-the-art single-particle localization theory an extensive discussion of relevant technical aspects of the localization theory a thorough comparison of the multi-particle model with its single-particle counterpart a self-contained rigorous derivation of both spectral and dynamical localization in the multi-particle tight-binding Anderson model. Required mathematical background for the book includes a knowledge of functional calculus, spectral theory (essentially reduced to the case of finite matrices) and basic probability theory. This is an excellent text for a year-long graduate course or seminar in mathematical physics. It also can serve as a standard reference for specialists.

Symmetry and the Standard Model

Author : Matthew Robinson
Publisher : Springer Science & Business Media
Page : 343 pages
File Size : 44,7 Mb
Release : 2011-08-17
Category : Science
ISBN : 9781441982674

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Symmetry and the Standard Model by Matthew Robinson Pdf

While theoretical particle physics is an extraordinarily fascinating field, the incredibly fast pace at which it moves along, combined with the huge amount of background information necessary to perform cutting edge research, poses a formidable challenge for graduate students. This book represents the first in a series designed to assist students in the process of transitioning from coursework to research in particle physics. Rather than reading literally dozens of physics and mathematics texts, trying to assimilate the countless ideas, translate notations and perspectives, and see how it all fits together to get a holistic understanding, this series provides a detailed overview of the major mathematical and physical ideas in theoretical particle physics. Ultimately the ideas will be presented in a unified, consistent, holistic picture, where each topic is built firmly on what has come before, and all topics are related in a clear and intuitive way. This introductory text on quantum field theory and particle physics provides both a self-contained and complete introduction to not only the necessary physical ideas, but also a complete introduction to the necessary mathematical tools. Assuming minimal knowledge of undergraduate physics and mathematics, this book lays both the mathematical and physical groundwork with clear, intuitive explanations and plenty of examples. The book then continues with an exposition of the Standard Model of Particle Physics, the theory that currently seems to explain the universe apart from gravity. Furthermore, this book was written as a primer for the more advanced mathematical and physical ideas to come later in this series.

Topics in Operator Theory

Author : Joseph A. Ball,Vladimir Bolotnikov,J. William Helton,Leiba Rodman
Publisher : Birkhäuser
Page : 446 pages
File Size : 47,9 Mb
Release : 2010-02-19
Category : Mathematics
ISBN : 3034601603

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Topics in Operator Theory by Joseph A. Ball,Vladimir Bolotnikov,J. William Helton,Leiba Rodman Pdf

This is the second volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications.

Mathematical Physics in Theoretical Chemistry

Author : S. M. Blinder,J. E. House
Publisher : Elsevier
Page : 423 pages
File Size : 47,5 Mb
Release : 2018-11-26
Category : Science
ISBN : 9780128137017

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Mathematical Physics in Theoretical Chemistry by S. M. Blinder,J. E. House Pdf

Mathematical Physics in Theoretical Chemistry deals with important topics in theoretical and computational chemistry. Topics covered include density functional theory, computational methods in biological chemistry, and Hartree-Fock methods. As the second volume in the Developments in Physical & Theoretical Chemistry series, this volume further highlights the major advances and developments in research, also serving as a basis for advanced study. With a multidisciplinary and encompassing structure guided by a highly experienced editor, the series is designed to enable researchers in both academia and industry stay abreast of developments in physical and theoretical chemistry. Brings together the most important aspects and recent advances in theoretical and computational chemistry Covers computational methods for small molecules, density-functional methods, and computational chemistry on personal and quantum computers Presents cutting-edge developments in theoretical and computational chemistry that are applicable to graduate students and research professionals in chemistry, physics, materials science and biochemistry

Geometric Methods in Physics

Author : Piotr Kielanowski,S. Twareque Ali,Pierre Bieliavsky,Anatol Odzijewicz,Martin Schlichenmaier,Theodore Voronov
Publisher : Birkhäuser
Page : 396 pages
File Size : 50,7 Mb
Release : 2016-07-28
Category : Mathematics
ISBN : 9783319317564

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Geometric Methods in Physics by Piotr Kielanowski,S. Twareque Ali,Pierre Bieliavsky,Anatol Odzijewicz,Martin Schlichenmaier,Theodore Voronov Pdf

This book features a selection of articles based on the XXXIV Białowieża Workshop on Geometric Methods in Physics, 2015. The articles presented are mathematically rigorous, include important physical implications and address the application of geometry in classical and quantum physics. Special attention deserves the session devoted to discussions of Gerard Emch's most important and lasting achievements in mathematical physics. The Białowieża workshops are among the most important meetings in the field and gather participants from mathematics and physics alike. Despite their long tradition, the Workshops remain at the cutting edge of ongoing research. For the past several years, the Białowieża Workshop has been followed by a School on Geometry and Physics, where advanced lectures for graduate students and young researchers are presented. The unique atmosphere of the Workshop and School is enhanced by the venue, framed by the natural beauty of the Białowieża forest in eastern Poland.

Geometric Methods in Physics XXXVIII

Author : Piotr Kielanowski,Anatol Odzijewicz,Emma Previato
Publisher : Springer Nature
Page : 373 pages
File Size : 47,7 Mb
Release : 2020-10-27
Category : Mathematics
ISBN : 9783030533052

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Geometric Methods in Physics XXXVIII by Piotr Kielanowski,Anatol Odzijewicz,Emma Previato Pdf

The book consists of articles based on the XXXVIII Białowieża Workshop on Geometric Methods in Physics, 2019. The series of Białowieża workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, with applications to classical and quantum physics. For the past eight years, the Białowieża Workshops have been complemented by a School on Geometry and Physics, comprising series of advanced lectures for graduate students and early-career researchers. The extended abstracts of the five lecture series that were given in the eighth school are included. The unique character of the Workshop-and-School series draws on the venue, a famous historical, cultural and environmental site in the Białowieża forest, a UNESCO World Heritage Centre in the east of Poland: lectures are given in the Nature and Forest Museum and local traditions are interwoven with the scientific activities. The chapter “Toeplitz Extensions in Noncommutative Topology and Mathematical Physics” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.