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Spectral Theory of Localized Resonances and Applications

Posted By: AvaxGenius
Spectral Theory of Localized Resonances and Applications

Spectral Theory of Localized Resonances and Applications by Youjun Deng , Hongyu Liu
English | PDF EPUB (True) | 2024 | 367 Pages | ISBN : 9819962439 | 47.8 MB

This book is devoted to the spectral theory of localized resonances including surface plasmon/polariton resonances, atypical resonances, anomalous localized resonances and interior transmission resonances. Those resonance phenomena arise in different physical contexts, but share similar features. They form the fundamental basis for many cutting-edge technologies and applications including invisibility cloaking and super-resolution imaging. The book presents a systematic and comprehensive treatment on these resonance phenomena and the associated applications in a unified manner from a mathematical and spectral perspective, covering acoustic, electromagnetic and elastic wave scattering.

Higher Mathematics for Science and Engineering

Posted By: AvaxGenius
Higher Mathematics for Science and Engineering

Higher Mathematics for Science and Engineering by Aliakbar Montazer Haghighi , Abburi Anil Kumar , Dimitar P. Mishev
English | PDF EPUB (True) | 2024 | 682 Pages | ISBN : 9819954304 | 75.3 MB

This textbook provides a comprehensive, thorough and up-to-date treatment of topics of mathematics that an engineer and scientist would need, at the basic levels that contents of engineering and sciences are built by. For this purpose, natural readers would be junior and senior undergraduate students, who normally have the content of this book under different names on their degree plans. Also, engineers and scientists will benefit from this book since the book is a comprehensive volume for such audiences.

Boundaries of a Complex World, Second Edition (Repost)

Posted By: AvaxGenius
Boundaries of a Complex World, Second Edition (Repost)

Boundaries of a Complex World, Second Edition by Andrei Ludu
English | EPUB (True) | 2022 | 372 Pages | ISBN : 3031073606 | 108.1 MB

The 2nd edition of this book provides novel topics and studyies in boundaries of networks and Big Data Systems.The central theme of this book is the extent to which the structure of the free dynamical boundaries of a system controls the evolution of the system as a whole. Applying three orthogonal types of thinking - mathematical, constructivist and morphological, it illustrates these concepts using applications to selected problems from the social and life sciences, as well as economics.
In a broader context, it introduces and reviews some modern mathematical approaches to the science of complex systems.

Grundkurs Theoretische Physik 5/1: Quantenmechanik - Grundlagen

Posted By: AvaxGenius
Grundkurs Theoretische Physik 5/1: Quantenmechanik - Grundlagen

Grundkurs Theoretische Physik 5/1: Quantenmechanik - Grundlagen by Wolfgang Nolting
Deutsch | EPUB (True) | 2013 | 553 Pages | ISBN : 3642254020 | 5.7 MB

Der beliebte Grundkurs Theoretische Physik deckt in sieben Bänden alle für Bachelor/Master- oder Diplom-Studiengänge maßgeblichen Gebiete ab. Jeder Band vermittelt gut durchdacht das im jeweiligen Semester nötige theoretische-physikalische Rüstzeug. Zahlreiche Übungsaufgaben mit ausführlichen Lösungen dienen der Vertiefung des Stoffes.

Quantum Mathematical Physics: Atoms, Molecules and Large Systems

Posted By: AvaxGenius
Quantum Mathematical Physics: Atoms, Molecules and Large Systems

Quantum Mathematical Physics: Atoms, Molecules and Large Systems by Walter Thirring
English | PDF | 2002 | 599 Pages | ISBN : 3540430784 | 40.5 MB

This edition combines the earlier two volumes on Quantum Mechanics of Atoms and Molecules and on Quantum Mechanics of Large Systems, thus including in a single volume the material for a two-semester course on quantum physics. Since this volume is already quite heavy, I could not include many new results which show how lively the subject is. I just want to mention that inequality (IV:4. 1. l. 1) has been sharpened by T. Weidl by a factor 2][ and the difficult problem 1 of (III:4. 6) has been solved by A. Martin. I have to thank N. Ilieva for the devotion in preparing this new edition. Vienna, November 2001 Walter Thirring Preface to the Second Edition: Quantum Mechanics of Atoms and Molecules Ever since the first edition of this volume appeared in 1980 quantum statistical mechanics has florished. Innumerable results in many areas have been obtained and it would require a series of volumes to do justice to all of them. On the other hand the first edition was already rather crowded with many details so it would not be overburdened any more. Thus I added only one chapter on quantum ergodic theory where one can get the main notions across without too much pain. Nevertheless many subjects treated in the book had splendidely developed ever since and the only way out I could see is to add some recent references which the interested reader can consult.

MathPhys Odyssey 2001: Integrable Models and Beyond In Honor of Barry M. McCoy (Repost)

Posted By: AvaxGenius
MathPhys Odyssey 2001: Integrable Models and Beyond In Honor of Barry M. McCoy (Repost)

MathPhys Odyssey 2001: Integrable Models and Beyond In Honor of Barry M. McCoy by Masaki Kashiwara, Tetsuji Miwa
English | PDF | 2002 | 479 Pages | ISBN : 0817642609 | 38.4 MB

'MathPhys Odyssey 2001' will serve as an excellent reference text for mathematical physicists and graduate students in a number of areas.; Kashiwara/Miwa have a good track record with both SV and Birkhauser.

"Schrödinger Equation: Fundamentals Aspects and Potential Applications" ed. by Muhammad Bilal Tahir, et al.

Posted By: exLib
"Schrödinger Equation: Fundamentals Aspects and Potential Applications" ed. by Muhammad Bilal Tahir, et al.

"Schrödinger Equation: Fundamentals Aspects and Potential Applications" ed. by Muhammad Bilal Tahir, Muhammad Sagir, Muhammad Isa Khan, Muhammad Rafique
ITexLi | 2024 | ISBN: 1837692149 9781837692149 1837692130 9781837692132 1837692157 9781837692156 | 133 pages | PDF | 11 MB

This essential volume introduces you to the spectral theory of the Schrödinger equation, offering a sturdy foundation to explore its enigmatic depths. Unlock the secrets of the universe with tyis book. Delve into the heart of quantum mechanics, where matter, energy, and mathematics intertwine in a dance of profound discovery.

Schrödinger Equations in Nonlinear Systems (Repost)

Posted By: AvaxGenius
Schrödinger Equations in Nonlinear Systems (Repost)

Schrödinger Equations in Nonlinear Systems by Wu-Ming Liu , Emmanuel Kengne
English | EPUB (True) | 2019 | 576 Pages | ISBN : 9811365806 | 159 MB

This book explores the diverse types of Schrödinger equations that appear in nonlinear systems in general, with a specific focus on nonlinear transmission networks and Bose–Einstein Condensates. In the context of nonlinear transmission networks, it employs various methods to rigorously model the phenomena of modulated matter-wave propagation in the network, leading to nonlinear Schrödinger (NLS) equations. Modeling these phenomena is largely based on the reductive perturbation method, and the derived NLS equations are then used to methodically investigate the dynamics of matter-wave solitons in the network. In the context of Bose–Einstein condensates (BECs), the book analyzes the dynamical properties of NLS equations with the external potential of different types, which govern the dynamics of modulated matter-waves in BECs with either two-body interactions or both two- and three-body interatomic interactions.

Schrödinger Equations in Nonlinear Systems (Repost)

Posted By: AvaxGenius
Schrödinger Equations in Nonlinear Systems (Repost)

Schrödinger Equations in Nonlinear Systems by Wu-Ming Liu , Emmanuel Kengne
English | PDF (True) | 2019 | 576 Pages | ISBN : 9811365806 | 25.6 MB

This book explores the diverse types of Schrödinger equations that appear in nonlinear systems in general, with a specific focus on nonlinear transmission networks and Bose–Einstein Condensates. In the context of nonlinear transmission networks, it employs various methods to rigorously model the phenomena of modulated matter-wave propagation in the network, leading to nonlinear Schrödinger (NLS) equations. Modeling these phenomena is largely based on the reductive perturbation method, and the derived NLS equations are then used to methodically investigate the dynamics of matter-wave solitons in the network. In the context of Bose–Einstein condensates (BECs), the book analyzes the dynamical properties of NLS equations with the external potential of different types, which govern the dynamics of modulated matter-waves in BECs with either two-body interactions or both two- and three-body interatomic interactions.

Boundaries of a Complex World, Second Edition (Repost)

Posted By: AvaxGenius
Boundaries of a Complex World, Second Edition (Repost)

Boundaries of a Complex World, Second Edition by Andrei Ludu
English | PDF EPUB (True) | 2022 | 372 Pages | ISBN : 3031073606 | 121 MB

The 2nd edition of this book provides novel topics and studyies in boundaries of networks and Big Data Systems.The central theme of this book is the extent to which the structure of the free dynamical boundaries of a system controls the evolution of the system as a whole. Applying three orthogonal types of thinking - mathematical, constructivist and morphological, it illustrates these concepts using applications to selected problems from the social and life sciences, as well as economics.
In a broader context, it introduces and reviews some modern mathematical approaches to the science of complex systems.

Classical Nonintegrability, Quantum Chaos

Posted By: AvaxGenius
Classical Nonintegrability, Quantum Chaos

Classical Nonintegrability, Quantum Chaos by Andreas Knauf , Yakov G. Sinai , Viviane Baladi
English | PDF | 1997 | 104 Pages | ISBN : 3764357088 | 7.6 MB

Our DMV Seminar on 'Classical Nonintegrability, Quantum Chaos' intended to introduce students and beginning researchers to the techniques applied in nonin­ tegrable classical and quantum dynamics. Several of these lectures are collected in this volume. The basic phenomenon of nonlinear dynamics is mixing in phase space, lead­ ing to a positive dynamical entropy and a loss of information about the initial state. The nonlinear motion in phase space gives rise to a linear action on phase space functions which in the case of iterated maps is given by a so-called transfer operator. Good mixing rates lead to a spectral gap for this operator.

Fundamental Problematic Issues in Turbulence

Posted By: AvaxGenius
Fundamental Problematic Issues in Turbulence

Fundamental Problematic Issues in Turbulence by Albert Gyr, Wolfgang Kinzelbach, Arkady Tsinober
English | PDF | 1999 | 464 Pages | ISBN : 3764361506 | 49.4 MB

The Second Monte Verita Colloquium Fundamental Problematic Issues in Turbu­ lence was held in Monte Verita, Switzerland, on March 23-27, 1998. The main goal of the Colloquium was to bring together in the relaxed atmo­ sphere of Monte Verita a group of leading scientists (consisting of representatives of different generations) and to discuss informally and free of the influence of funding agencies and/or other "politics" of nonscientific nature the basic issues of turbulence. The intention was to put major emphasis on the exposition of the problematic aspects and discussion(s) - not mere reporting of results, i. e. not hav­ ing just one more meeting. For this purpose it was originally thought to leave all the afternoons free of formal presentations at all. However, this intention became unrealistic due to a number of reasons, and, in the first place, due to strong pres­ sure from various parts of the scientific community and non-scientific constraints to broaden the scope and to increase the number of participants as compared to the First Colloquium held in 1991.

Microlocal Methods in Mathematical Physics and Global Analysis (Repost)

Posted By: AvaxGenius
Microlocal Methods in Mathematical Physics and Global Analysis (Repost)

Microlocal Methods in Mathematical Physics and Global Analysis by Daniel Grieser, Stefan Teufel, Andras Vasy
English | PDF (True) | 2013 | 147 Pages | ISBN : 3034804652 | 1.5 MB

Microlocal analysis is a field of mathematics that was invented in the mid-20th century for the detailed investigation of problems from partial differential equations, which incorporated and made rigorous many ideas that originated in physics. Since then it has grown to a powerful machine which is used in global analysis, spectral theory, mathematical physics and other fields, and its further development is a lively area of current mathematical research. In this book extended abstracts of the conference 'Microlocal Methods in Mathematical Physics and Global Analysis', which was held at the University of Tübingen from the 14th to the 18th of June 2011, are collected.​

Analysis and Mathematical Physics (Repost)

Posted By: AvaxGenius
Analysis and Mathematical Physics (Repost)

Analysis and Mathematical Physics by Björn Gustafsson, Alexander Vasil’ev
English | PDF (True) | 2009 | 513 Pages | ISBN : 3764399058 | 5 MB

Our knowledge of objects of complex and potential analysis has been enhanced recently by ideas and constructions of theoretical and mathematical physics, such as quantum field theory, nonlinear hydrodynamics, material science. These are some of the themes of this refereed collection of papers, which grew out of the first conference of the European Science Foundation Networking Programme 'Harmonic and Complex Analysis and Applications' held in Norway 2007.

Quantum Theories and Geometry

Posted By: AvaxGenius
Quantum Theories and Geometry

Quantum Theories and Geometry by M. Cahen, M. Flato
English | PDF | 1988 | 196 Pages | ISBN : 9027728038 | 12.1 MB

This book presents the text of most of the lectures which were de­ livered at the Meeting Quantum Theories and Geometry which was held at the Fondation Les Treilles from March 23 to March 27, 1987. The general aim of this meeting was to bring together mathemati­ cians and physicists who have worked in this growing field of contact between the two disciplines, namely this region where geometry and physics interact creatively in both directions. It 1S the strong belief of the organizers that these written con­ tributions will be a useful document for research people workin~ 1n geometry or physics. Three lectures were devoted to the deformation approach to quantum mechanics which involves a modification of both the associative and the Lie structure of the algebra of functions on classical phase space.