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1 Zhu, Jian-Xin Bogoliubov-de Gennes Method and Its Applications I10464 2016 eBook  
2 Tura i Brugu??s, Jordi Characterizing Entanglement and Quantum Correlations Constrained by Symmetry I10461 2017 eBook  
3 Beenakker, Wim Supersymmetry and Noncommutative Geometry I10435 2016 eBook  
4 Calcagni, Gianluca Classical and Quantum Cosmology I10431 2017 eBook  
5 Yue, Jason Tsz Shing Higgs Properties at the LHC I10417 2017 eBook  
6 Knechtli, Francesco Lattice Quantum Chromodynamics I10410 2017 eBook  
7 Rodrigues, Jr, Waldyr A The Many Faces of Maxwell, Dirac and Einstein Equations I10404 2016 eBook  
8 Kato, Shoji Oscillations of Disks I10403 2016 eBook  
9 De Nittis, Giuseppe Linear Response Theory I10402 2017 eBook  
10 Vallejo, Juan C Predictability of Chaotic Dynamics I10399 2017 eBook  
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TitleBogoliubov-de Gennes Method and Its Applications
Author(s)Zhu, Jian-Xin
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2016.
DescriptionXI, 188 p. 50 illus., 33 illus. in color : online resource
Abstract NoteThe purpose of this book is to provide an elementary yet systematic description of the Bogoliubov-de Gennes (BdG) equations, their unique symmetry properties and their relation to Green???s function theory. Specifically, it introduces readers to the supercell technique for the solutions of the BdG equations, as well as other related techniques for more rapidly solving the equations in practical applications. The BdG equations are derived from a microscopic model Hamiltonian with an effective pairing interaction and fully capture the local electronic structure through self-consistent solutions via exact diagonalization. This approach has been successfully generalized to study many aspects of conventional and unconventional superconductors with inhomogeneities ??? including defects, disorder or the presence of a magnetic field ??? and becomes an even more attractive choice when the first-principles information of a typical superconductor is incorporated via the construction of a low-energy tight-binding model. Further, the lattice BdG approach is essential when theoretical results for local electronic states around such defects are compared with the scanning tunneling microscopy measurements. Altogether, these lectures provide a timely primer for graduate students and non-specialist researchers, while also offering a useful reference guide for experts in the field
ISBN,Price9783319313146
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Mathematical Applications in the Physical Sciences 4. Mathematical Methods in Physics 5. MATHEMATICAL PHYSICS 6. Nanoscale science 7. Nanoscale Science and Technology 8. NANOSCIENCE 9. Nanostructures 10. Numerical and Computational Physics, Simulation 11. PHYSICS 12. Strongly Correlated Systems, Superconductivity 13. SUPERCONDUCTIVITY 14. SUPERCONDUCTORS
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TitleCharacterizing Entanglement and Quantum Correlations Constrained by Symmetry
Author(s)Tura i Brugu??s, Jordi
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionXXV, 237 p. 17 illus., 8 illus. in color : online resource
Abstract NoteThis thesis focuses on the study and characterization of entanglement and nonlocal correlations constrained under symmetries. It includes original results as well as detailed methods and explanations for a number of different threads of research: positive partial transpose (PPT) entanglement in the symmetric states; a novel, experimentally friendly method to detect nonlocal correlations in many-body systems; the non-equivalence between entanglement and nonlocality; and elemental monogamies of correlations. Entanglement and nonlocal correlations constitute two fundamental resources for quantum information processing, as they allow novel tasks that are otherwise impossible in a classical scenario. However, their elusive characterization is still a central problem in quantum information theory. The main reason why such a fundamental issue remains a formidable challenge lies in the exponential growth in complexity of the Hilbert space as well as the space of multipartite correlations. Physical systems of interest, on the other hand, display symmetries that can be exploited to reduce this complexity, opening the possibility that some of these questions become tractable for such systems
ISBN,Price9783319495712
Keyword(s)1. Condensed materials 2. EBOOK 3. EBOOK - SPRINGER 4. MATHEMATICAL PHYSICS 5. Phase transformations (Statistical physics) 6. QUANTUM COMPUTERS 7. Quantum Gases and Condensates 8. Quantum Information Technology, Spintronics 9. QUANTUM PHYSICS 10. SPINTRONICS
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TitleSupersymmetry and Noncommutative Geometry
Author(s)Beenakker, Wim;van den Broek, Thijs;Suijlekom, Walter D
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2016.
DescriptionX, 137 p. 27 illus., 15 illus. in color : online resource
Abstract NoteIn this work the question whether noncommutative geometry allows for supersymmetric theories is addressed. Noncommutative geometry has seen remarkable applications in high energy physics, viz. the geometrical interpretation of the Standard Model, however such a question has not been answered in a conclusive way so far. The book starts with a systematic analysis of the possibilities for so-called almost-commutative geometries on a 4-dimensional, flat background to exhibit not only a particle content that is eligible for supersymmetry, but also have a supersymmetric action. An approach is proposed in which the basic `building blocks' of potentially supersymmetric theories and the demands for their action to be supersymmetric are identified. It is then described how a novel kind of soft supersymmetry breaking Lagrangian arises naturally from the spectral action. Finally, the above formalism is applied to explore the existence of a noncommutative version of the minimal supersymmetric Standard Model. This book is intended for mathematical/theoretical physicists with an interest in the applications of noncommutative geometry to supersymmetric field theories
ISBN,Price9783319247984
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Elementary particles (Physics) 4. Elementary Particles, Quantum Field Theory 5. Mathematical Methods in Physics 6. MATHEMATICAL PHYSICS 7. PHYSICS 8. QUANTUM FIELD THEORY
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TitleClassical and Quantum Cosmology
Author(s)Calcagni, Gianluca
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionXV, 843 p. 80 illus., 52 illus. in color : online resource
Abstract NoteThis comprehensive textbook is devoted to classical and quantum cosmology, with particular emphasis on modern approaches to quantum gravity and string theory and on their observational imprint. It covers major challenges in theoretical physics such as the big bang and the cosmological constant problem. An extensive review of standard cosmology, the cosmic microwave background, inflation and dark energy sets the scene for the phenomenological application of all the main quantum-gravity and string-theory models of cosmology. Born of the author's teaching experience and commitment to bridging the gap between cosmologists and theoreticians working beyond the established laws of particle physics and general relativity, this is a unique text where quantum-gravity approaches and string theory are treated on an equal footing. As well as introducing cosmology to undergraduate and graduate students with its pedagogical presentation and the help of 45 solved exercises, this book, which includes an ambitious bibliography of about 3500 items, will serve as a valuable reference for lecturers and researchers
ISBN,Price9783319411279
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. COSMOLOGY 3. EBOOK 4. EBOOK - SPRINGER 5. GRAVITATION 6. History and Philosophical Foundations of Physics 7. MATHEMATICAL PHYSICS 8. PHYSICS
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TitleHiggs Properties at the LHC : Implications for the Standard Model and for Cosmology
Author(s)Yue, Jason Tsz Shing
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionXVIII, 130 p. 35 illus., 21 illus. in color : online resource
Abstract NoteThis thesis studies the properties of the Higgs particle, discovered at the Large Hadron Collider (LHC) in 2012, in order to elucidate its role in electroweak symmetry breaking and cosmological phase transition in the early universe. It shows that a generic spin-2 Higgs impostor is excluded by the precision measurements of electroweak observables and perturbative unitarity considerations. It obtains LHC constraints on anomalous CP-violating Higgs-Top Yukawa couplings and examines the prospects of their measurement in future experiments. Lastly, it discusses in detail the electroweak phase transition and generation of cosmological matter???antimatter asymmetry in the universe with anomalous Higgs couplings
ISBN,Price9783319634029
Keyword(s)1. COSMOLOGY 2. EBOOK 3. EBOOK - SPRINGER 4. Elementary particles (Physics) 5. Elementary Particles, Quantum Field Theory 6. MATHEMATICAL PHYSICS 7. QUANTUM FIELD THEORY 8. Theoretical, Mathematical and Computational Physics
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TitleLattice Quantum Chromodynamics : Practical Essentials
Author(s)Knechtli, Francesco;G??nther, Michael;Peardon, Michael
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2017.
DescriptionXIII, 140 p. 12 illus., 1 illus. in color : online resource
Abstract NoteThis book provides an overview of the techniques central to lattice quantum chromodynamics, including modern developments. The book has four chapters. The first chapter explains the formulation of quarks and gluons on a Euclidean lattice. The second chapter introduces Monte Carlo methods and details the numerical algorithms to simulate lattice gauge fields. Chapter three explains the mathematical and numerical techniques needed to study quark fields and the computation of quark propagators. The fourth chapter is devoted to the physical observables constructed from lattice fields and explains how to measure them in simulations. The book is aimed at enabling graduate students who are new to the field to carry out explicitly the first steps and prepare them for research in lattice QCD
ISBN,Price9789402409994
Keyword(s)1. ARTIFICIAL INTELLIGENCE 2. EBOOK 3. EBOOK - SPRINGER 4. Elementary particles (Physics) 5. Elementary Particles, Quantum Field Theory 6. MATHEMATICAL PHYSICS 7. Quantum Field Theories, String Theory 8. QUANTUM FIELD THEORY 9. STRING THEORY
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TitleThe Many Faces of Maxwell, Dirac and Einstein Equations : A Clifford Bundle Approach
Author(s)Rodrigues, Jr, Waldyr A;Capelas de Oliveira, Edmundo
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2016.
DescriptionXVI, 587 p. 14 illus : online resource
Abstract NoteThis book is an exposition of the algebra and calculus of differential forms, of the Clifford and Spin-Clifford bundle formalisms, and of vistas to a formulation of important concepts of differential geometry indispensable for an in-depth understanding of space-time physics. The formalism discloses the hidden geometrical nature of spinor fields. Maxwell, Dirac and Einstein fields are shown to have representatives by objects of the same mathematical nature, namely sections of an appropriate Clifford bundle. This approach reveals unity in diversity and suggests relationships that are hidden in the standard formalisms and opens new paths for research. This thoroughly revised second edition also adds three new chapters: on the Clifford bundle approach to the Riemannian or semi-Riemannian differential geometry of branes; on Komar currents in the context of the General Relativity theory; and an analysis of the similarities and main differences between Dirac, Majorana and ELKO spinor fields. The exercises with solutions, the comprehensive list of mathematical symbols, and the list of acronyms and abbreviations are provided for self-study for students as well as for classes. From the reviews of the first edition: ???The text is written in a very readable manner and is complemented with plenty of worked-out exercises which are in the style of extended examples. ... their book could also serve as a textbook for graduate students in physics or mathematics." (Alberto Molgado, Mathematical Reviews, 2008 k)
ISBN,Price9783319276373
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. DIFFERENTIAL GEOMETRY 3. EBOOK 4. EBOOK - SPRINGER 5. GRAVITATION 6. Mathematical Applications in the Physical Sciences 7. MATHEMATICAL PHYSICS
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TitleOscillations of Disks
Author(s)Kato, Shoji
PublicationTokyo, 1. Imprint: Springer 2. Springer Japan, 2016.
DescriptionXV, 261 p. 49 illus., 6 illus. in color : online resource
Abstract NoteThis book presents the current state of research on disk oscillation theory, focusing on relativistic disks and tidally deformed disks. Since the launch of the Rossi X-ray Timing Explorer (RXTE) in 1996, many high-frequency quasiperiodic oscillations (HFQPOs) have been observed in X-ray binaries. Subsequently, similar quasi-periodic oscillations have been found in such relativistic objects as microquasars, ultra-luminous X-ray sources, and galactic nuclei. One of the most promising explanations of their origin is based on oscillations in relativistic disks, and a new field called discoseismology is currently developing. After reviewing observational aspects, the book presents the basic characteristics of disk oscillations, especially focusing on those in relativistic disks. Relativistic disks are essentially different from Newtonian disks in terms of several basic characteristics of their disk oscillations, including the radial distributions of epicyclic frequencies. In order to understand the basic processes of disk oscillations, studies on binary systems are of importance, as they offer valuable information on wave???wave coupling processes in disk oscillations. Accordingly, some characteristics of oscillations in deformed disks are also presented in this book. The book consists of two parts. Points covered in Part I include, for instance, the basic characteristics of disk oscillations, classification of oscillation modes, and trapping of oscillations. In Part II, the focus is mainly on excitation processes of oscillations, while applications to observations are also discussed
ISBN,Price9784431562085
Keyword(s)1. ASTRONOMY 2. Astronomy, Astrophysics and Cosmology 3. ASTROPHYSICS 4. EBOOK 5. EBOOK - SPRINGER 6. Mathematical Applications in the Physical Sciences 7. MATHEMATICAL PHYSICS 8. PLANETOLOGY 9. Theoretical, Mathematical and Computational Physics
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TitleLinear Response Theory : An Analytic-Algebraic Approach
Author(s)De Nittis, Giuseppe;Lein, Max
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionX, 138 p : online resource
Abstract NoteThis book presents a modern and systematic approach to Linear Response Theory (LRT) by combining analytic and algebraic ideas. LRT is a tool to study systems that are driven out of equilibrium by external perturbations. In particular the reader is provided with a new and robust tool to implement LRT for a wide array of systems. The proposed formalism in fact applies to periodic and random systems in the discrete and the continuum. After a short introduction describing the structure of the book, its aim and motivation, the basic elements of the theory are presented in chapter 2. The mathematical framework of the theory is outlined in chapters 3???5: the relevant von Neumann algebras, noncommutative $L^p$- and Sobolev spaces are introduced; their construction is then made explicit for common physical systems; the notion of isopectral perturbations and the associated dynamics are studied. Chapter 6 is dedicated to the main results, proofs of the Kubo and Kubo-Streda formulas. The book closes with a chapter about possible future developments and applications of the theory to periodic light conductors. The book addresses a wide audience of mathematical physicists, focusing on the conceptual aspects rather than technical details and making algebraic methods accessible to analysts
ISBN,Price9783319567327
Keyword(s)1. CONDENSED MATTER 2. CONDENSED MATTER PHYSICS 3. EBOOK 4. EBOOK - SPRINGER 5. FUNCTIONAL ANALYSIS 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. PHYSICS
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TitlePredictability of Chaotic Dynamics : A Finite-time Lyapunov Exponents Approach
Author(s)Vallejo, Juan C;Sanjuan, Miguel A. F
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionXV, 136 p. 47 illus., 22 illus. in color : online resource
Abstract NoteThis book is primarily concerned with the computational aspects of predictability of dynamical systems ??? in particular those where observation, modeling and computation are strongly interdependent. Unlike with physical systems under control in laboratories, for instance in celestial mechanics, one is confronted with the observation and modeling of systems without the possibility of altering the key parameters of the objects studied. Therefore, the numerical simulations offer an essential tool for analyzing these systems. With the widespread use of computer simulations to solve complex dynamical systems, the reliability of the numerical calculations is of ever-increasing interest and importance. This reliability is directly related to the regularity and instability properties of the modeled flow. In this interdisciplinary scenario, the underlying physics provide the simulated models, nonlinear dynamics provides their chaoticity and instability properties, and the computer sciences provide the actual numerical implementation. This book introduces and explores precisely this link between the models and their predictability characterization based on concepts derived from the field of nonlinear dynamics, with a focus on the finite-time Lyapunov exponents approach. The method is illustrated using a number of well-known continuous dynamical systems, including the Contopoulos, H??non-Heiles and R??ssler systems. To help students and newcomers quickly learn to apply these techniques, the appendix provides descriptions of the algorithms used throughout the text and details how to implement them in order to solve a given continuous dynamical system
ISBN,Price9783319518930
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. EBOOK 3. EBOOK - SPRINGER 4. Mathematical Applications in the Physical Sciences 5. MATHEMATICAL PHYSICS 6. Numerical and Computational Physics, Simulation 7. PHYSICS 8. SPACE SCIENCES 9. Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics) 10. STATISTICAL PHYSICS
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