329,61 zł

Quantum Information Theory and Quantum Statistics Springer-Verlag Berlin and Heidelberg GmbH & Co....

Książki / Literatura obcojęzyczna

This concise and readable book addresses primarily readers with a background in classical statistical physics and introduces quantum mechanical notions as required. Conceived as a primer to bridge the gap between statistical physics and quantum information, it emphasizes concepts and thorough discussions of the fundamental notions and prepares the reader for deeper studies, not least through a selection of well chosen exercises.Based on lectures given by the author, this book focuses on providing reliable introductory explanations of key concepts of quantum information theory and quantum statistics - rather than on results. The mathematically rigorous presentation is supported by numerous examples and exercises and by an appendix summarizing the relevant aspects of linear analysis. Assuming that the reader is familiar with the content of standard undergraduate courses in quantum mechanics, probability theory, linear algebra and functional analysis, the book addresses graduate students of mathematics and physics as well as theoretical and mathematical physicists. Conceived as a primer to bridge the gap between statistical physics and quantum information, a field to which the author has contributed significantly himself, it emphasizes concepts and thorough discussions of the fundamental notions to prepare the reader for deeper studies, not least through the selection of well chosen exercises.

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667,52 zł

Quantum Information Theory Springer-Verlag Berlin and Heidelberg GmbH & Co....

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This graduate textbook provides a§unified view of quantum information theory. Clearly explaining the necessary§mathematical basis, it merges key topics from both information-theoretic and quantum-§mechanical viewpoints and provides lucid§explanations of the basic results. Thanks to this unified approach, it makes§accessible such advanced topics in quantum communication as quantum§teleportation, superdense coding, quantum state transmission (quantum§error-correction) and quantum encryption.§Since the publication of the§preceding book Quantum Information: An Introduction , there have been§tremendous strides in the field of quantum information. In particular, the following§topics - all of which are addressed here - made seen major advances: quantum§state discrimination, quantum channel capacity, bipartite and multipartite§entanglement, security analysis on quantum communication, reverse Shannon§theorem and uncertainty relation.§With regard to the analysis of§quantum security, the present book employs an improved method for the§evaluation of leaked information and identifies a remarkable relation between§quantum security and quantum coherence. Taken together, these two improvements§allow a better analysis of quantum state transmission. In addition, various§types of the newly discovered uncertainty relation are explained.§Presenting a wealth of new§developments, the book introduces readers to the latest advances and challenges§in quantum information.§To aid in understanding, each§chapter is accompanied by a set of exercises and solutions.§

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517,81 zł

Quantum Information Theory Springer-Verlag Berlin and Heidelberg GmbH & Co....

Książki / Literatura obcojęzyczna

This graduate textbook provides a unified view of quantum information theory. Clearly explaining the necessary mathematical basis, it merges key topics from both information-theoretic and quantum- mechanical viewpoints and provides lucid explanations of the basic results. Thanks to this unified approach, it makes accessible such advanced topics in quantum communication as quantum teleportation, superdense coding, quantum state transmission (quantum error-correction) and quantum encryption.Since the publication of the preceding book Quantum Information: An Introduction , there have been tremendous strides in the field of quantum information. In particular, the following topics - all of which are addressed here - made seen major advances: quantum state discrimination, quantum channel capacity, bipartite and multipartite entanglement, security analysis on quantum communication, reverse Shannon theorem and uncertainty relation.With regard to the analysis of quantum security, the present book employs an improved method for the evaluation of leaked information and identifies a remarkable relation between quantum security and quantum coherence. Taken together, these two improvements allow a better analysis of quantum state transmission. In addition, various types of the newly discovered uncertainty relation are explained.Presenting a wealth of new developments, the book introduces readers to the latest advances and challenges in quantum information.To aid in understanding, each chapter is accompanied by a set of exercises and solutions.

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503,69 zł

Quantum Field Theory I Springer International Publishing AG

Książki / Literatura obcojęzyczna

This§textbook covers a broad spectrum of developments in QFT, emphasizing those aspects§that are now well consolidated and for which satisfactory theoretical§descriptions have been provided. The book is unique in that it offers a new§approach to the subject and explores many topics merely touched upon, if§covered at all, in standard reference works.§§A detailed and largely non-technical introductory chapter§traces the development of QFT from its inception in 1926. The§elegant functional differential approach put forward by§Schwinger, referred to as the quantum dynamical (action) principle, and§its underlying theory are used systematically in order to generate§the so-called vacuum-to-vacuum transition amplitude of both abelian and§non-abelian gauge theories, in addition to Feynman's well-known functional§integral approach, referred to as the path-integral approach. Given§the wealth of information also to be found in the abelian case, equal§importance is put on both abelian and non-abelian gauge theories.§§Particular§emphasis is placed on the concept of a quantum field and its particle§content to provide an appropriate description of physical processes at§high energies, where relativity becomes indispensable. Moreover, quantum§mechanics implies that a wave function renormalization arises in the QFT§field independent of any perturbation theory - a point not sufficiently§emphasized in the literature. The book provides§an overview of all the fields encountered in present high-energy§physics, together with the details of the underlying derivations. Further,§it presents "deep inelastic" experiments as a fundamental§application of quantum chromodynamics.§§Though§the author makes a point of deriving points in detail, the book still requires good§background knowledge of quantum mechanics, including the Dirac Theory, as well§as elements of the Klein-Gordon equation. The§present volume sets the language, the notation and provides additional§background for reading Quantum Field Theory - Introduction to Quantum Gravity,§Supersymmetry and String Theory, by the same author. Students in this§field might benefit from first reading the book Quantum Theory: A Wide Spectrum§(Springer, 2006), by the same author.§§

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368,10 zł

Quantum Field Theory I Springer International Publishing AG

Książki / Literatura obcojęzyczna

This textbook covers a broad spectrum of developments in QFT, emphasizing those aspects that are now well consolidated and for which satisfactory theoretical descriptions have been provided. The book is unique in that it offers a new approach to the subject and explores many topics merely touched upon, if covered at all, in standard reference works.A detailed and largely non-technical introductory chapter traces the development of QFT from its inception in 1926. The elegant functional differential approach put forward by Schwinger, referred to as the quantum dynamical (action) principle, and its underlying theory are used systematically in order to generate the so-called vacuum-to-vacuum transition amplitude of both abelian and non-abelian gauge theories, in addition to Feynman's well-known functional integral approach, referred to as the path-integral approach. Given the wealth of information also to be found in the abelian case, equal importance is put on both abelian and non-abelian gauge theories.Particular emphasis is placed on the concept of a quantum field and its particle content to provide an appropriate description of physical processes at high energies, where relativity becomes indispensable. Moreover, quantum mechanics implies that a wave function renormalization arises in the QFT field independent of any perturbation theory - a point not sufficiently emphasized in the literature. The book provides an overview of all the fields encountered in present high-energy physics, together with the details of the underlying derivations. Further, it presents "deep inelastic" experiments as a fundamental application of quantum chromodynamics.Though the author makes a point of deriving points in detail, the book still requires good background knowledge of quantum mechanics, including the Dirac Theory, as well as elements of the Klein-Gordon equation. The present volume sets the language, the notation and provides additional background for reading Quantum Field Theory II - Introduction to Quantum Gravity, Supersymmetry and String Theory, by the same author. Students in this field might benefit from first reading the book Quantum Theory: A Wide Spectrum (Springer, 2006), by the same author.

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325,96 zł

Geometric and Topological Methods for Quantum Field Theory Cambridge University Press

Książki / Literatura obcojęzyczna

Aimed at graduate students in physics and mathematics, this book provides an introduction to recent developments in several active topics at the interface between algebra, geometry, topology and quantum field theory. The first part of the book begins with an account of important results in geometric topology. It investigates the differential equation aspects of quantum cohomology, before moving on to noncommutative geometry. This is followed by a further exploration of quantum field theory and gauge theory, describing AdS/CFT correspondence, and the functional renormalization group approach to quantum gravity. The second part covers a wide spectrum of topics on the borderline of mathematics and physics, ranging from orbifolds to quantum indistinguishability and involving a manifold of mathematical tools borrowed from geometry, algebra and analysis. Each chapter presents introductory material before moving on to more advanced results. The chapters are self-contained and can be read independently of the rest.

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318,16 zł

Foundations of Quantum Theory Springer International Publishing AG

Książki / Literatura obcojęzyczna

This book studies the foundations of quantum theory through its relationship to classical physics. This idea goes back to the Copenhagen Interpretation (in the original version due to Bohr and Heisenberg), which the author relates to the mathematical formalism of operator algebras originally created by von Neumann. The book therefore includes comprehensive appendices on functional analysis and C -algebras, as well as a briefer one on logic, category theory, and topos theory. Matters of foundational as well as mathematical interest that are covered in detail include symmetry (and its "spontaneous" breaking), the measurement problem, the Kochen-Specker, Free Will, and Bell Theorems, the Kadison-Singer conjecture, quantization, indistinguishable particles, the quantum theory of large systems, and quantum logic, the latter in connection with the topos approach to quantum theory.This book is Open Access under a CC BY licence.

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147,83 zł

Modern Quantum Chemistry Dover Publications Inc.

Książki / Literatura obcojęzyczna

Preface to Revised edition Preface1. Mathematical Review 1.1 Linear Algebra 1.1.1 Three-dimensional vector algebra 1.1.2 Matrices 1.1.3 Determinants 1.1.4 N-Dimensional Complex Vector spaces 1.1.5 Change of Basis 1.1.6 The Eigenvalue Problem 1.1.7 Functions of Matrices 1.2 Orthogonal functions, Eigenfunctions, and Operators 1.3 The Variation Method 1.3.1 The Variation principle 1.3.2 The Linear Variational Problem Notes, Further Reading2. Many Electron Wave functions and operators 2.1 The Electronic Problem 2.1.1 Atomic Units 2.1.2 The Born-Oppenheimer Approximation 2.1.3 The Antisymmetry or Pauli Exclusion Principle 2.2 Orbitals, Slater Determinants, and Basis functions 2.2.1 Spin Orbitals and Spatial Orbitals 2.2.2 Hartree Products 2.2.3 Slater Determinants 2.2.4 The Hartree-Fock Approximation 2.2.5 The Minimal Basis H subscript 2 Model 2.2.6 Excited Determinants 2.2.7 Form of the Exact Wave function and Configuration Interaction 2.3 Operators and Matrix Elements 2.3.1 Minimal Basis H subscript 2 matrix Elements 2.3.2 Notations for One- and Two-Electron Integrals 2.3.3 General Rules for Matrix Elements 2.3.4 Derivation of the Rules for Matrix Elements 2.3.5 Transition from Spin Orbitals to Spatial Orbitals 2.3.6 Coulomb and Exchange Integrals 2.3.7 Pseudo-Classical interpretation of Determinantal Energies 2.4 Second Quantization 2.4.1 Creation and annihilation Operators and Their Anticommutation Relations 2.4.2 Second-Quantized Operators and Their Matrix Elements 2.5 Spin-Adapted Configurations 2.5.1 Spin Operators 2.5.2 Restricted Determinants and Spin-Adapted Configurations 2.5.3 Unrestricted Determinants Notes, Further Reading3. The Hartree-Fock Approximation 3.1 The Hartree-Fock Equations 3.1.1 The Coulomb and Exchange Operators 3.1.2 The Fock Operator 3.2 Derivation of the Hartree-Fock Equations 3.2.1 Functional Variation 3.2.2 Minimization of the Energy of a Single Determinant 3.2.3 The Canonical Hartree-Fock Equations 3.3 Interpretation of Solutions to the Hartree-Fock Equations 3.3.1 Orbital energies and Koopmans' Theorem 3.3.2 Brillouin's Theorem 3.3.3 The Hartree-Fock Hamiltonian 3.4 Restricted Closed-Shell hartree-Fock: The Roothaan Equations 3.4.1 Closed-Shell Hartree-Fock: Restricted Spin Orbitals 3.4.2 Introduction of a Basis: The Roothaan Equations 3.4.3 The Charge Density 3.4.4 Expression for the Fock Matrix 3.4.5 Orthogonalization of the Basis 3.4.6 The SCF Procedure 3.4.7 Expectation Values and Population Analysis 3.5 Model Calculations on H subscript 2 and HeH superscript + 3.5.1 The 1s Minimal STO-3G Basis Set 3.5.2 STO-3G H subscript 2 3.5.3 An SCF Calculation on STO-3G HeH superscript + 3.6 Polyatomic Basis Sets 3.6.1 Contracted Gaussian functions 3.6.2 Minimal Basis Sets: STO-3G 3.6.3 Double Zeta Basis Sets: 4-31G 3.6.4 Polarized Basis Sets: 6-31G and 6-31G 3.7 Some Illustrative Closed-Shell Calculations 3.7.1 Total Energies 3.7.2 Ionization Potentials 3.7.3 Equilibrium Geometries 3.7.4 Population Analysis and Dipole Moments 3.8 Unrestricted Open-Shell Hartree-Fock: The Pople-Nesbet Equations 3.8.1 Open-Shell Hartree-Fock: Unrestricted Spin Orbitals 3.8.2 Introduction of a Basis: The Pople-Nesbet Equations 3.8.3 Unrestricted Density Matrices 3.8.4 Expression for the Fock Matrices 3.8.5 Solution of the Unrestricted SCF Equations 3.8.6 Illustrative Unrestricted Calculations 3.8.7 The Dissociation Problem and its Unrestricted Solution Notes, Further Reading4. Configuration Interaction 4.1 Multiconfigurational Wave Functions and the Structure of the Full CI Matrix 4.1.1 Intermediate Normalization and an Expression for the Correlation Energy 4.2 Doubly Excited CI 4.3 Some Illustrative Calculations 4.4 Natural Orbitals and the One-Particle Reduced Density Matrix 4.5 The Multiconfiguration Self-Consistent Field (MCSCF) and Generalized Valence Bond (GVB) Methods 4.6 Truncated CI and the Size-Consistency Problem Notes, Further Reading5. Pair and Coupled-Pair Theories 5.1 The Independent Electron Pair Approximation (IEPA) 5.1.1 Invariance under Unitary Transformations: an example 5.1.2 Some Illustrative Calculations 5.2 Coupled-Pair Theories 5.2.1 The Coupled Cluster Approximation (CCA) 5.2.2 The Cluster Expansion of the Wave Function 5.2.3 Linear CCA and the Coupled Electron Pair Approximation (CEPA) 5.2.4 Some Illustrative Calculations 5.3 Many-Electron Theories with Single Particle Hamiltonians 5.3.1 The Relaxation Energy via CI, IEPA, CCA, and CEPA 5.3.2 The Resonance Energy of Polyenes in Hückel Theory Notes, Further Reading6. Many-Body Perturbation Theory 6.1 Rayleigh-Schrödinger (RS) Perturbation Theory 6.2 Diagrammatic Representation of RS Perturbation Theory 6.2.1 Diagrammatic Perturbation Theory for 2 States 6.2.2 Diagrammatic Perturbation Theory for N States 6.2.3 Summation of Diagrams 6.3 Orbital Perturbation Theory: One-Particle Perturbations 6.4 Diagrammatic Representation of Orbital Perturbation Theory 6.5 Perturbation Expansion of the Correlation Energy 6.6 The N-Dependence of the RS Perturbation Expansion 6.7 Diagrammatic Representation of the Perturbation Expansion of the Correlation Energy 6.7.1 Hugenholtz Diagrams 6.7.2 Goldstone Diagrams 6.7.3 Summation of Diagrams 6.7.4 What Is the Linked Cluster Theorem? 6.8 Some Illustrative Calculations Notes, Further Reading7. The One-particle Many-Body Green's Function 7.1 Green's Functions in single Particle Systems 7.2 The One-Particle Many-Body Green's Function 7.2.1 The Self-Energy 7.2.2 The solution of the Dyson Equation 7.3 Application of the formalism to H subscript 2 and HeH superscript + 7.4 Perturbation Theory and the Green's Function Method 7.5 Some Illustrative Calculations Notes, Further ReadingAppendix A. Integral Evaluation with 1s Primitive GaussiansAppendix B. Two-Electron Self-Consistent-Field ProgramAppendix C. Analytic Derivative methods and Geometry OptimizationAppendix D. Molecular Integrals for H subscript 2 as a Function of Bond Length Index

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817,23 zł

Hilbert Space Operators in Quantum Physics Springer-Verlag New York Inc.

Książki / Literatura obcojęzyczna

This course-tested book explains in detail the theory of linear Hilbert-space operators and their use in quantum physics. The central mathematical tool of the book is the spectral theory of self-adjoint operators; in order to make the exposition self-contained, selected topics of functional analysis are included. An introduction to the theory of operator sets and algebras is also presented. This mathematical material is then used for a systematic analysis of the operator structure of quantum theory. Logical building of the theory is discussed as well as its practical aspects, such as spectral properties of quantum mechanical Hamiltonians, scattering theory, and more.§The second edition was extended by two new chapters devoted to properties of quantum waveguides and quantum graphs. The bibliography was amended by about 130 new items.

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368,10 zł

Mathematical Concepts of Quantum Mechanics Springer Nature Switzerland AG

Książki / Literatura obcojęzyczna

The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include: many-body systems, modern perturbation theory, path integrals, the theory of resonances, adiabatic theory, geometrical phases, Aharonov-Bohm effect, density functional theory, open systems, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. Some of the sections could be used for introductions to geometrical methods in Quantum Mechanics, to quantum information theory and to quantum electrodynamics and quantum field theory.

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329,61 zł

Human Resources Information Systems Springer Nature Switzerland AG

Książki / Literatura obcojęzyczna

This book provides an introduction to Human Resource Information Systems (HRIS) for those in the public administration field. At the intersection between human resource management and information technology, HRIS is often the key to having and maintaining the personnel data that is essential for hiring and recruitment, strategic planning and analysis, and legal requirements in most public organizations. This book describes what an HRIS system is, what the functionality of such a system should be, and outlines the practical aspects of an HRIS. It also compares the different aspects of human resources in public organizations, non-profit organizations, and private corporations, and how differences across organizations may influence the functionality requirements of the HRIS. Finally, the volume contains both an organizational theory component, which frames how an HRIS interacts with an organization both from a functional standpoint and a reporting standpoint. The book includes a practical component, which includes real-world case studies that illustrate the advantages and pitfalls to implementing an HRIS enterprise system. Providing a thorough introduction to HRIS for both academics and practitioners, this volume is appropriate for researchers, graduate students, and practitioners in the fields of public administration, higher education administration, information systems, computer science, and human resources.

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553,14 zł

Mathematical Quantum Physics Springer, Berlin

Książki / Literatura obcojęzyczna

This book provides the rigorous mathematical foundations of Quantum Physics, from the operational meaning of the measuring process to the most recent theories for the quantum scale of space-time geometry. Topics like relativistic invariance, quantum systems with finite and infinitely many degrees of freedom, second quantisation, scattering theory, are all presented through the formalism of Operator Algebras for a precise mathematical justification.The book is targeted to graduate students and researchers in the area of theoretical/mathematical physics who want to learn about the mathematical foundations of quantum physics, as well as the mathematics students and researchers in the area of operator algebras/functional analysis who want to dive into some of the applications of the theory to physics.

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304,94 zł

Guide to Spectral Theory Springer Nature Switzerland AG

Książki / Literatura obcojęzyczna

This textbook provides a graduate-level introduction to the spectral theory of linear operators on Banach and Hilbert spaces, guiding readers through key components of spectral theory and its applications in quantum physics. Based on their extensive teaching experience, the authors present topics in a progressive manner so that each chapter builds on the ones preceding. Researchers and students alike will also appreciate the exploration of more advanced applications and research perspectives presented near the end of the book.Beginning with a brief introduction to the relationship between spectral theory and quantum physics, the authors go on to explore unbounded operators, analyzing closed, adjoint, and self-adjoint operators. Next, the spectrum of a closed operator is defined and the fundamental properties of Fredholm operators are introduced. The authors then develop the Grushin method to execute the spectral analysis of compact operators. The chapters that follow are devoted to examining Hille-Yoshida and Stone theorems, the spectral analysis of self-adjoint operators, and trace-class and Hilbert-Schmidt operators. The final chapter opens the discussion to several selected applications. Throughout this textbook, detailed proofs are given, and the statements are illustrated by a number of well-chosen examples. At the end, an appendix about foundational functional analysis theorems is provided to help the uninitiated reader. A Guide to Spectral Theory: Applications and Exercises is intended for graduate students taking an introductory course in spectral theory or operator theory. A background in linear functional analysis and partial differential equations is assumed; basic knowledge of bounded linear operators is useful but not required. PhD students and researchers will also find this volume to be of interest, particularly the research directions provided in later chapters.

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512,48 zł

Quantum Mechanics for Scientists and Engineers Cambridge University Press

Książki / Literatura obcojęzyczna

If you need a book that relates the core principles of quantum mechanics to modern applications in engineering, physics, and nanotechnology, this is it. Students will appreciate the book's applied emphasis, which illustrates theoretical concepts with examples of nanostructured materials, optics, and semiconductor devices. The many worked examples and more than 160 homework problems help students to problem solve and to practise applications of theory. Without assuming a prior knowledge of high-level physics or classical mechanics, the text introduces Schrödinger's equation, operators, and approximation methods. Systems, including the hydrogen atom and crystalline materials, are analyzed in detail. More advanced subjects, such as density matrices, quantum optics, and quantum information, are also covered. Practical applications and algorithms for the computational analysis of simple structures make this an ideal introduction to quantum mechanics for students of engineering, physics, nanotechnology, and other disciplines. Additional resources available from www.cambridge.org/9780521897839.

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299,99 zł

An Introduction To The Theory Of Reproducing Kernel Hilbert Spaces

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