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Strings and Fundamental Physics (Lecture Notes in Physics #851)

The basic idea, simple and revolutionary at the same time, to replace the concept of a point particle with a one-dimensional string, has opened up a whole new field of research. Even today, four decades later, its multifaceted consequences are still not fully conceivable. Up to now string theory has offered a new way to view each particle: as different excitations of the same fundamental object. It has celebrated success in discovering the graviton in its spectrum, and it has naturally led scientists to posit space-times with more than four dimensions—which in turn has triggered numerous interesting developments in fields as varied as condensed matter physics and pure mathematics.This book collects pedagogical lectures by leading experts in string theory, introducing the non-specialist reader to some of the newest developments in the field. The carefully selected topics are at the cutting edge of research in string theory and include new developments in topological strings, or AdS/CFT dualities, as well as newly emerging subfields such as doubled field theory and holography in the hydrodynamic regime.The contributions to this book have been selected and arranged in such a way as to form a self-contained, graduate level textbook.

Strings, Branes and Dualities (Nato Science Series C: #520)

As recent developments have shown, supersymmetric quantum field theory and string theory are intimately related, with advances in one area often shedding light on the other. The organising ideas of most of these advances are the notion of duality and the physics of higher dimensional objects or p-branes. The topics covered in the present volume include duality in field theory, in particular in supersymmetric field theory and supergravity, and in string theory. The Seiberg-Witten theory and its recent developments are also covered in detail. A large fraction of the volume is devoted to the current state of the art in M-theory, in particular its underlying superalgebra as well as its connection with superstring and N = 2 strings. The physics of D-branes and its essential role in the beautiful computation of the black hole entropy is also carefully covered. Finally, the last two sets of lectures are devoted to the exciting matrix approach to non-perturbative string theory.

Strings, Conformal Fields, and Topology: An Introduction (Graduate Texts in Contemporary Physics)

Following on the foundations laid in his earlier book "Introduction to Superstrings", Professor Kaku discusses such topics as the classification of conformal string theories, the non-polynomial closed string field theory, matrix models, and topological field theory. The presentation of the material is self-contained, and several chapters review material expounded in the earlier book. This book provides students with an understanding of the main areas of current progress in string theory, placing the reader at the forefront of current research.

Strings to Strings: Yang-Mills Flux Tubes, QCD Strings and Effective String Theories (Lecture Notes in Physics #1018)

This book presents the essentials culminating in the effective string theory of flux tubes in meticulous technical and conceptual detail. The book is divided into four parts. Part One provides historical background, while Part Two (consisting of 14 chapters) covers the passage from Heisenberg's S-matrix theory to String Theory. This includes non-perturbative LSZ formalism, dispersion relations, Regge poles, duality and dual resonance models. Part Three offers a comprehensive analysis of QCD, focusing on important concepts like asymptotic freedom and quark confinement. The section also delves into lattice gauge theories and effective descriptions of superconductivity and strong interactions. Part Four, the final two chapters, describe the lattice gauge theory determinations of Yang-Mills flux tubes in three and four dimensions and effective string theories, including their systematic constructions. These chapters provide detailed technical information to help readers, especially students, develop their expertise in these ideas. This book is ideal for graduate students, postdocs, and senior researchers looking to deepen their understanding of effective string theory and related concepts.

Stroh Formalism and Rayleigh Waves

Stroh formalism is a powerful mathematical method developed for the analysis of equations of anisotropic elasticity. This exposition introduces the essence of this formalism and demonstrates its effectiveness in both static and dynamic elasticity. The book gives a succinct introduction to Stroh formalism, discusses several important topics in static elasticity, and examines Rayleigh waves, a key topic in nondestructive evaluation, seismology, and materials science.

Strömungslehre: Einführung in die Theorie der Strömungen

Dieses Lehrbuch stellt die Strömungslehre als einheitliche Wissenschaft dar, die in allen Zweigen den gemeinsamen Prinzipien der Kontinuumsmechanik folgt. Einzeldisziplinen der Strömungslehre werden nach dem Grundgesetz "vom Allgemeinen zum Besonderen" mit den zugehörigen vereinfachenden Annahmen behandelt. Im ersten Teil werden die Grundlagen der Strömungslehre aus moderner Sicht dargestellt. Dieser Teil enthält eine strenge, aber anschauliche Einführung in die Kinematik, die kontinuumstheoretische Formulierung der Bilanzsätze, sowie ein Kapitel über Materialgleichungen Newtonscher und Nicht-Newtonscher Flüssigkeiten. Der zweite Teil des Buches behandelt systematisch die Anwendung dieser Grundlagen auf die Technische Strömungslehre in Kapiteln über Hydrostatik, Schichtenströmungen, turbulente Scherströmungen, Schmiertheorie, Stromfadentheorie, Potentialtheorie, Überschallströmungen und Grenzschichten. In der Neuauflage werden die Themen Grenzschichttheorie und Hydrodynamische Schmierung vertieft sowie die Dynamik der geraden Wirbelfäden ausführlicher behandelt. Der Stoff wird zum großen Teil über Anwendungsbeispiele aus der Ingenieurpraxis entwickelt. Im Anhang findet sich eine Einführung in die kartesische Tensorrechnung und in krummlinige Koordinatensysteme. Das Buch wurde völlig neu gestaltet und ein Großteil der Abbildungen neu, d.h. auch quantitativ richtig, gezeichnet. Das Buch wendet sich an Ingenieure und Studenten der Ingenieurwissenschaften, Physiker und anwendungsorientierte Mathematiker; es ist nicht nur zum Gebrauch neben Vorlesungen, sondern auch für das Selbststudium gedacht.

Strömungsmechanik: Eine Einführung in die Physik und die mathematische Modellierung von Strömungen

Problemlösungen in der Strömungsmechanik werden immer häufiger durch den Einsatz von kommerziellen Computerprogrammen angestrebt. Dies setzt aber voraus, dass die Physik des Problems verstanden ist. Das Buch trägt zum grundlegenden physikalischen Verständnis der Zusammenhänge bei, in dem es die Physik verschiedener Strömungsformen anschaulich darstellt. Die mathematischen Grundgleichungen insbesondere die Navier-Stokes-Gleichungen und der Energiesatz werden in allgemeiner Form bereitgestellt und in ihrer mathematischen Bedeutung erläutert. Die physikalisch/mathematische Modellierung einzelner wichtiger Strömungen bzw. Strömungsformen wird anschließend konsequent aus den Grundgleichungen abgeleitet. Der Autor verfolgt dabei systematisch das Konzept der deduktiven Herleitung. Dimensionsanalytische Überlegungen spielen eine wichtige Rolle. Zahlreiche Beispiele erläutern den Stoff.

Strong and Weak Approximation of Semilinear Stochastic Evolution Equations (Lecture Notes in Mathematics #2093)

In this book we analyze the error caused by numerical schemes for the approximation of semilinear stochastic evolution equations (SEEq) in a Hilbert space-valued setting. The numerical schemes considered combine Galerkin finite element methods with Euler-type temporal approximations. Starting from a precise analysis of the spatio-temporal regularity of the mild solution to the SEEq, we derive and prove optimal error estimates of the strong error of convergence in the first part of the book.The second part deals with a new approach to the so-called weak error of convergence, which measures the distance between the law of the numerical solution and the law of the exact solution. This approach is based on Bismut’s integration by parts formula and the Malliavin calculus for infinite dimensional stochastic processes. These techniques are developed and explained in a separate chapter, before the weak convergence is proven for linear SEEq.

Strong Asymptotics for Extremal Polynomials Associated with Weights on R (Lecture Notes in Mathematics #1305)

0. The results are consequences of a strengthened form of the following assertion: Given 0 1. Auxiliary results include inequalities for weighted polynomials, and zeros of extremal polynomials. The monograph is fairly self-contained, with proofs involving elementary complex analysis, and the theory of orthogonal and extremal polynomials. It should be of interest to research workers in approximation theory and orthogonal polynomials.

Strong family and low fertility: New perspectives in interpreting contemporary family and reproductive behaviour (European Studies of Population #14)

New perspectives in interpreting contemporary family and reproductive - haviour of Mediterranean Europe 1. THE NEW GEOGRAPHY OF FERTILITY AND THE FAMILY IN EUROPE The countries of southern Europe have begun to reduce conjugal fertility at a later date compared to most other nations in the west. This has been - plained by means of the category of delay: the backwardness of the pr- esses of accumulation and economic development being seen as the cause of the maintaining of the reproductive models of the past. Moreover, the inf- ence of the Catholic Church in Italy, Spain and Portugal is supposed to have delayed the processes of secularisation, rendering difficult the changes in mentality necessary for assuming modern patterns of reproductive behaviour not only for fertility, but also for the variables which are strictly linked to it, such as sexuality, contraception and abortion (Livi Bacci, 1977; Lesthaeghe and Wilson, 1986). 1. 1. The trends of very low fertility Now the panorama is very different. Since the mid-seventies, southern Europe has been washed by the tide of a lowest-low fertility (i. e. , TFR under 1. 5 for several a prolonged period, Billari et al. , 2003), which in some areas 1 has reached and maintained scarcely imaginable levels for years on end. Conversely, other areas of Europe, where fertility started to fall many d- ades earlier than in the regions of the sourth, have recovered or maintained considerably higher levels of fertility, often close to replacement level.

Strong Fermion Interactions in Fractional Quantum Hall States: Correlation Functions (Springer Series In Solid-state Sciences Ser. #193)

This monograph presents an intuitive theory of trial wave functions for strongly interacting fermions in fractional quantum Hall states. The correlation functions for the proposed fermion interactions follow a novel algebraic approach that harnesses the classical theory of invariants and semi-invariants of binary forms. This approach can be viewed as a fitting and far-reaching generalization of Laughlin’s approach to trial wave functions. Aesthetically viewed, it illustrates an attractive symbiosis between the theory of invariants and the theory of correlations. Early research into numerical diagonalization computations for small numbers of electrons shows strong agreement with the constructed trial wave functions.The monograph offers researchers and students of condensed matter physics an accessible discussion of this interesting area of research.

Strong Limit Theorems (Mathematics and its Applications #4)

Strong Limit Theorems in Non-Commutative Probability (Lecture Notes in Mathematics #1110)

Strong Limit Theorems in Noncommutative L2-Spaces (Lecture Notes in Mathematics #1477)

The noncommutative versions of fundamental classical results on the almost sure convergence in L2-spaces are discussed: individual ergodic theorems, strong laws of large numbers, theorems on convergence of orthogonal series, of martingales of powers of contractions etc. The proofs introduce new techniques in von Neumann algebras. The reader is assumed to master the fundamentals of functional analysis and probability. The book is written mainly for mathematicians and physicists familiar with probability theory and interested in applications of operator algebras to quantum statistical mechanics.

Strong Nonlinear Oscillators: Analytical Solutions (Mathematical Engineering)

This textbook presents the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations. It presents the author’s original method for the analytical solution procedure of the pure nonlinear oscillator system. After an introduction, the physical explanation of the pure nonlinearity and of the pure nonlinear oscillator is given. The analytical solution for free and forced vibrations of the one-degree-of-freedom strong nonlinear system with constant and time variable parameters is considered. In this second edition of the book, the number of approximate solving procedures for strong nonlinear oscillators is enlarged and a variety of procedures for solving free strong nonlinear oscillators is suggested. A method for error estimation is also given which is suitable to compare the exact and approximate solutions.Besides the oscillators with one degree-of-freedom, the one and two mass oscillatory systems with two-degrees-of-freedom and continuous oscillators are considered. The chaos and chaos suppression in ideal and non-ideal mechanical systems is explained.In this second edition more attention is given to the application of the suggested methodologies and obtained results to some practical problems in physics, mechanics, electronics and biomechanics. Thus, for the oscillator with two degrees-of-freedom, a generalization of the solving procedure is performed. Based on the obtained results, vibrations of the vocal cord are analyzed. In the book the vibration of the axially purely nonlinear rod as a continuous system is investigated. The developed solving procedure and the solutions are applied to discuss the muscle vibration. Vibrations of an optomechanical system are analyzed using the oscillations of an oscillator with odd or even quadratic nonlinearities. The extension of the forced vibrations of the system is realized by introducing the Ateb periodic excitation force which is the series of a trigonometric function. The book is self-consistent and suitable for researchers and as a textbook for students and also professionals and engineers who apply these techniques to the field of nonlinear oscillations.

Strong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78

Locally symmetric spaces are generalizations of spaces of constant curvature. In this book the author presents the proof of a remarkable phenomenon, which he calls "strong rigidity": this is a stronger form of the deformation rigidity that has been investigated by Selberg, Calabi-Vesentini, Weil, Borel, and Raghunathan. The proof combines the theory of semi-simple Lie groups, discrete subgroups, the geometry of E. Cartan's symmetric Riemannian spaces, elements of ergodic theory, and the fundamental theorem of projective geometry as applied to Tit's geometries. In his proof the author introduces two new notions having independent interest: one is "pseudo-isometries"; the other is a notion of a quasi-conformal mapping over the division algebra K (K equals real, complex, quaternion, or Cayley numbers). The author attempts to make the account accessible to readers with diverse backgrounds, and the book contains capsule descriptions of the various theories that enter the proof.

Strong Shape and Homology (Springer Monographs in Mathematics)

Shape theory, an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces, was introduced by Borsuk 30 years ago and Mardesic contributed greatly to it. One expert says: "If we need a book in the field, this is it! It is thorough, careful and complete."

Strongly Correlated Systems: Numerical Methods (Springer Series in Solid-State Sciences #176)

This volume presents, for the very first time, an exhaustive collection of those modern numerical methods specifically tailored for the analysis of Strongly Correlated Systems. Many novel materials, with functional properties emerging from macroscopic quantum behaviors at the frontier of modern research in physics, chemistry and material science, belong to this class of systems. Any technique is presented in great detail by its own inventor or by one of the world-wide recognized main contributors. The exposition has a clear pedagogical cut and fully reports on the most relevant case study where the specific technique showed to be very successful in describing and enlightening the puzzling physics of a particular strongly correlated system. The book is intended for advanced graduate students and post-docs in the field as textbook and/or main reference, but also for other researchers in the field who appreciate consulting a single, but comprehensive, source or wishes to get acquainted, in a as painless as possible way, with the working details of a specific technique.

Strongly Correlated Systems: Experimental Techniques (Springer Series in Solid-State Sciences #180)

The continuous evolution and development of experimental techniques is at the basis of any fundamental achievement in modern physics. Strongly correlated systems (SCS), more than any other, need to be investigated through the greatest variety of experimental techniques in order to unveil and crosscheck the numerous and puzzling anomalous behaviors characterizing them. The study of SCS fostered the improvement of many old experimental techniques, but also the advent of many new ones just invented in order to analyze the complex behaviors of these systems. Many novel materials, with functional properties emerging from macroscopic quantum behaviors at the frontier of modern research in physics, chemistry and materials science, belong to this class of systems. The volume presents a representative collection of the modern experimental techniques specifically tailored for the analysis of strongly correlated systems. Any technique is presented in great detail by its own inventor or by one of the world-wide recognized main contributors. The exposition has a clear pedagogical cut and fully reports on the most relevant case study where the specific technique showed to be very successful in describing and enlightening the puzzling physics of a particular strongly correlated system. The book is intended for advanced graduate students and post-docs in the field as textbook and/or main reference, but also for any other researcher in the field who appreciates consulting a single, but comprehensive, source or wishes to get acquainted, in a as painless as possible way, with the working details of a specific technique.

Strongly Correlated Systems: Theoretical Methods (Springer Series in Solid-State Sciences #171)

The volume presents, for the very first time, an exhaustive collection of those modern theoretical methods specifically tailored for the analysis of Strongly Correlated Systems. Many novel materials, with functional properties emerging from macroscopic quantum behaviors at the frontier of modern research in physics, chemistry and materials science, belong to this class of systems. Any technique is presented in great detail by its own inventor or by one of the world-wide recognized main contributors. The exposition has a clear pedagogical cut and fully reports on the most relevant case study where the specific technique showed to be very successful in describing and enlightening the puzzling physics of a particular strongly correlated system. The book is intended for advanced graduate students and post-docs in the field as textbook and/or main reference, but also for other researchers in the field who appreciates consulting a single, but comprehensive, source or wishes to get acquainted, in a as painless as possible way, with the working details of a specific technique.

Strongly Coupled Field Theories for Condensed Matter and Quantum Information Theory: Proceedings, International Institute of Physics, Natal, Rn, Brazil, 2–21 August 2015 (Springer Proceedings in Physics #239)

This book presents a selection of advanced lectures from leading researchers, providing recent theoretical results on strongly coupled quantum field theories. It also analyzes their use for describing new quantum states, which are physically realizable in condensed matter, cold-atomic systems, as well as artificial materials. It particularly focuses on the engineering of these states in quantum devices and novel materials useful for quantum information processing. The book offers graduate students and young researchers in the field of modern condensed matter theory an updated review of the most relevant theoretical methods used in strongly coupled field theory and string theory. It also provides the tools for understanding their relevance in describing the emergence of new quantum states in a variety of physical settings. Specifically, this proceedings book summarizes new and previously unrelated developments in modern condensed matter physics, in particular: the interface of condensed matter theory and quantum information theory; the interface of condensed matter physics and the mathematics emerging from the classification of the topological phases of matter, such as topological insulators and topological superconductors; and the simulation of condensed matter systems with cold atoms in optical lattices.

Strongly Irreducible Operators on Hilbert Space

This volume provides a comprehensive treatment of strongly irreducible operators acting on a complex separable infinite dimensional Hilbert space, and to expose and reflect the internal structure of operators by analyzing and studying irreducibility of operators. Much of the material presented here appears in book form for the first time.

Strongly Irreducible Operators on Hilbert Space

This volume provides a comprehensive treatment of strongly irreducible operators acting on a complex separable infinite dimensional Hilbert space, and to expose and reflect the internal structure of operators by analyzing and studying irreducibility of operators. Much of the material presented here appears in book form for the first time.

Strongly Nonlinear Oscillators: Analytical Solutions (Undergraduate Lecture Notes in Physics)

This book provides the presentation of the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations. The book presents the original author’s method for the analytical solution procedure of the pure nonlinear oscillator system. After an introduction, the physical explanation of the pure nonlinearity and of the pure nonlinear oscillator is given. The analytical solution for free and forced vibrations of the one-degree-of-freedom strong nonlinear system with constant and time variable parameter is considered. Special attention is given to the one and two mass oscillatory systems with two-degrees-of-freedom. The criteria for the deterministic chaos in ideal and non-ideal pure nonlinear oscillators are derived analytically. The method for suppressing chaos is developed. Important problems are discussed in didactic exercises. The book is self-consistent and suitable as a textbook for students and also for professionals and engineers who apply these techniques to the field of nonlinear oscillations.

Structural Additive Theory (Developments in Mathematics #30)

​Nestled between number theory, combinatorics, algebra and analysis lies a rapidly developing subject in mathematics variously known as additive combinatorics, additive number theory, additive group theory, and combinatorial number theory. Its main objects of study are not abelian groups themselves, but rather the additive structure of subsets and subsequences of an abelian group, i.e., sumsets and subsequence sums. This text is a hybrid of a research monograph and an introductory graduate textbook. With few exceptions, all results presented are self-contained, written in great detail, and only reliant upon material covered in an advanced undergraduate curriculum supplemented with some additional Algebra, rendering this book usable as an entry-level text. However, it will perhaps be of even more interest to researchers already in the field. The majority of material is not found in book form and includes many new results as well. Even classical results, when included, are given in greater generality or using new proof variations. The text has a particular focus on results of a more exact and precise nature, results with strong hypotheses and yet stronger conclusions, and on fundamental aspects of the theory. Also included are intricate results often neglected in other texts owing to their complexity. Highlights include an extensive treatment of Freiman Homomorphisms and the Universal Ambient Group of sumsets A+B, an entire chapter devoted to Hamidoune’s Isoperimetric Method, a novel generalization allowing infinite summands in finite sumset questions, weighted zero-sum problems treated in the general context of viewing homomorphisms as weights, and simplified proofs of the Kemperman Structure Theorem and the Partition Theorem for setpartitions.