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Selected Topics in Field Quantization

Selected Topics in Field Quantization

Author: Wolfgang Pauli

Publisher: Courier Corporation

ISBN: 0486414590

Category: Science

Page: 212

View: 338

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In the 1950s the distinguished theoretical physicist Wolfgang Pauli delivered a landmark series of lectures at the Swiss Federal Institute of Technology in Zurich. His comprehensive coverage of the fundamentals of classical and modern physics was painstakingly recorded not only by his students, but also by a number of collaborators whose carefully edited transcriptions resulted in a remarkable six-volume work. This volume, the sixth in the series, focuses on selected topics in field quantization and considers such subjects as quantization of the electron-positron field, response to an external field, quantization of free fields, quantum electrodynamics, interacting fields, the Heisenberg representation, the S-matrix, and Feynman's approach to quantum electrodynamics. As does each book in the series, Volume 6 includes an index and a wealth of helpful figures. Originally published in 1973, the text remains entirely relevant thanks to Pauli's manner of presentation. As Victor F. Weisskopf notes in the Foreword to the series, Pauli's style is "commensurate to the greatness of its subject in its clarity and impact…. Pauli's lectures show how physical ideas can be presented clearly

The Superconducting State in Magnetic Fields

The Superconducting State in Magnetic Fields

Author: Carlos A R Sà de Melo

Publisher: World Scientific

ISBN: 9789814496476

Category: Science

Page: 340

View: 904

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This volume is an exciting collection of short review articles written by leading international experts on the superconducting state in magnetic fields, a rapidly developing area. The philosophy of the book is to emphasize the importance of having experimental and theoretical works side by side. Every effort has been made to match each experimental article with a corresponding theoretical article. The selection of materials includes special topics, new effects and new trends concerning superconductors in low and high magnetic fields. The special topics and new trends include quantum and classical melting of the vortex lattice, new vortex lattice symmetries, vortex core states, nonlinear Meissner effect, symmetry of the order parameter in high-temperature superconductors, and superconductors in high magnetic fields. The book is targeted at a broad audience, including graduate students, postdocs and other researchers active or interested in this field. Contents:Magnetic Flux in Interfaces in YBCO (K A Moler et al.)The Symmetry of the Superconducting Order Parameter and Low-Field Magnetic Properties in High-Temperature Superconductors (M Sigrist & T M Rice)The Vortex Phase Transition in YBa2Cu3O7-δ (J A Fendrich et al.)Numerical Simulations of Magnetic Properties of High-Temperature Superconductors (S Ryu & D Stroud)Quantum Melting and Quantum Creep of Vortex Matter in Thin Films of a-Nb3Ge (M H Theunissen et al.)Quantum Liquid of Vortices in Superconductors at T = 0 (G Blatter & B Ivlev)Vortex Lattice Structure in LuNi2B2C (Y De Wilde et al.)Vortex Lattice Transitions (V G Kogan et al.)High Frequency Electrodynamics of Cuprate Superconductors in the Vortex State (J Orenstein et al.)De Haas-Van Alphen Effect in the Vortex State of Type-II Superconductors (T J B M Janssen & M Springford)Quantized Landau Levels in Superconductors (S Dukan & Z Tešanovic)Vortex Lattice Imaging and Spectroscopic Studies of Flux Lines by Scanning Tunneling Microscopy (Ch Renner et al.)Vortex Structure in Clean Type II Superconductors with s-wave and d-wave Pair Symmetries (K Machida et al.)Superconductivity in Quasi-One-Dimensional Molecular Conductors (TMTSF)2X (I J Lee & M J Naughton)Singlet Versus Triplet Superconductivity in Quasi-One-Dimensional Systems: Magnetic Field Effects (C A R Sá de Melo) Readership: Graduate students, postdocs and researchers on superconductors in magnetic fields. Keywords:

Lectures on the Mathematics of Quantum Mechanics II: Selected Topics

Lectures on the Mathematics of Quantum Mechanics II: Selected Topics

Author: Gianfausto Dell'Antonio

Publisher: Springer

ISBN: 9789462391154

Category: Science

Page: 381

View: 988

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The first volume (General Theory) differs from most textbooks as it emphasizes the mathematical structure and mathematical rigor, while being adapted to the teaching the first semester of an advanced course in Quantum Mechanics (the content of the book are the lectures of courses actually delivered.). It differs also from the very few texts in Quantum Mechanics that give emphasis to the mathematical aspects because this book, being written as Lecture Notes, has the structure of lectures delivered in a course, namely introduction of the problem, outline of the relevant points, mathematical tools needed, theorems, proofs. This makes this book particularly useful for self-study and for instructors in the preparation of a second course in Quantum Mechanics (after a first basic course). With some minor additions it can be used also as a basis of a first course in Quantum Mechanics for students in mathematics curricula. The second part (Selected Topics) are lecture notes of a more advanced course aimed at giving the basic notions necessary to do research in several areas of mathematical physics connected with quantum mechanics, from solid state to singular interactions, many body theory, semi-classical analysis, quantum statistical mechanics. The structure of this book is suitable for a second-semester course, in which the lectures are meant to provide, in addition to theorems and proofs, an overview of a more specific subject and hints to the direction of research. In this respect and for the width of subjects this second volume differs from other monographs on Quantum Mechanics. The second volume can be useful for students who want to have a basic preparation for doing research and for instructors who may want to use it as a basis for the presentation of selected topics.

Lattice Quantum Field Theory Of The Dirac And Gauge Fields: Selected Topics

Lattice Quantum Field Theory Of The Dirac And Gauge Fields: Selected Topics

Author: Belal Ehsan Baaquie

Publisher: World Scientific

ISBN: 9789811209710

Category: Science

Page: 316

View: 306

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Quantum Chromodynamics is the theory of strong interactions: a quantum field theory of colored gluons (Yang-Mills gauge fields) coupled to quarks (Dirac fermion fields). Lattice gauge theory is defined by discretizing spacetime into a four-dimensional lattice — and entails defining gauge fields and Dirac fermions on a lattice. The applications of lattice gauge theory are vast, from the study of high-energy theory and phenomenology to the numerical studies of quantum fields.Lattice Quantum Field Theory of the Dirac and Gauge Fields: Selected Topics examines the mathematical foundations of lattice gauge theory from first principles. It is indispensable for the study of Dirac and lattice gauge fields and lays the foundation for more advanced and specialized studies.

Advanced Topics in Quantum Field Theory

Advanced Topics in Quantum Field Theory

Author: M. Shifman

Publisher: Cambridge University Press

ISBN: 9780521190848

Category: Science

Page: 641

View: 726

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Devoted specifically to modern field theory, this is an indispensable book for graduate students and researchers in theoretical physics. It emphasizes nonperturbative phenomena and supersymmetry, and discusses various phases of gauge theories, extended objects and their quantization, and global supersymmetry from a modern perspective.

Advanced Topics in Quantum Field Theory

Advanced Topics in Quantum Field Theory

Author: Mikhail Shifman

Publisher: Cambridge University Press

ISBN: 9781108840422

Category: Science

Page: 739

View: 967

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The Second Edition of this systematic, comprehensive text is revised to include topics developed in the last decade. A new final part presents more than 90 problems with detailed solutions, making this an indispensable book for graduate students and researchers in theoretical physics.

Select Topics in Signal Analysis

Select Topics in Signal Analysis

Author: Harish Parthasarathy

Publisher: Taylor & Francis

ISBN: 9781000789782

Category: Science

Page: 397

View: 254

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This book developed from a course given by the author to undergraduate and postgraduate students. It takes up Matrix Theory, Antenna Theory, and Probability Theory in detail. The first chapter on matrix theory discusses in reasonable depth the theory of Lie Algebras leading upto Cartan’s Classification Theory. It also discusses some basic elements of Functional Analysis and Operator Theory in infinite dimensional Banach and Hilbert spaces. The second chapter discusses Basic Probability Theory and the topics discussed find applications to Stochastic Filtering Theory for differential equations driven by white Gaussian noise. The third chapter is on Antenna Theory with a focus on Modern Quantum Antenna Theory. The book will be a valuable resource to students and early career researchers in the field of Mathametical Physics.

An Introduction to Field Quantization

An Introduction to Field Quantization

Author: Y. Takahashi

Publisher: Elsevier

ISBN: 9781483186276

Category: Science

Page: 310

View: 142

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An Introduction to Field Quantization is an introductory discussion of field quantization and problems closely related to it. Field quantization establishes a commutation relation of the field and finds an operator in such a manner that the Heisenberg equation of motion is satisfied. This book contains eight chapters and begins with a review of the quantization of the Schroedinger field and the close relation between quantized field theory and the many-body theory in quantum mechanics. These topics are followed by discussions of the quantization of the radiation field and the field of lattice vibrations in a solid. The succeeding chapter deals with the familiar linear equations in relativistic field theory and the deduction of certain spin independent theories, which these fields have in common. Other chapter explores the derivation technique of the conservation laws for fields with arbitrary spin directly from the field equations without explicit recourse to Noether's theorem using a configuration space version of the generalized Ward identity. The discussion then shifts to the relativistic quantization method applicable to any field with arbitrary spin; the transformation of various fields under the Lorentz transformation; and a general method for constructing wave functions explicitly, as well as the application of this method to several examples. The concluding chapter focuses on the quantization of interacting fields. This book will prove useful to physicists and researchers.

Quantum Theory of Fields

Quantum Theory of Fields

Author: Gregor Wentzel

Publisher: Courier Corporation

ISBN: 0486432459

Category: Science

Page: 244

View: 129

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Written by a pioneer of quantum field theory, this introductory volume will assist readers in accessing the original literature of elementary quantum mechanics. Topics include scalar fields, vector meson fields, quantum electrodynamics, and quantization of electron wave field according to the exclusion principle. 1949 edition.

Mathematical Topics Between Classical and Quantum Mechanics

Mathematical Topics Between Classical and Quantum Mechanics

Author: Nicholas P. Landsman

Publisher: Springer Science & Business Media

ISBN: 9781461216803

Category: Science

Page: 529

View: 290

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This monograph draws on two traditions: the algebraic formulation of quantum mechanics as well as quantum field theory, and the geometric theory of classical mechanics. These are combined in a unified treatment of the theory of Poisson algebras of observables and pure state spaces with a transition probability, which leads on to a discussion of the theory of quantization and the classical limit from this perspective. A prototype of quantization comes from the analogy between the C*- algebra of a Lie groupoid and the Poisson algebra of the corresponding Lie algebroid. The parallel between reduction of symplectic manifolds in classical mechanics and induced representations of groups and C*- algebras in quantum mechanics plays an equally important role. Examples from physics include constrained quantization, curved spaces, magnetic monopoles, gauge theories, massless particles, and $theta$- vacua. Accessible to mathematicians with some prior knowledge of classical and quantum mechanics, and to mathematical physicists and theoretical physicists with some background in functional analysis.