Diverse Topics in Theoretical and Mathematical Physics

Diverse Topics in Theoretical and Mathematical Physics PDF Author: Roman W. Jackiw
Publisher: World Scientific
ISBN: 9789810216979
Category : Science
Languages : en
Pages : 528

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Book Description
In this volume, topics are drawn from field theory, especially gauge field theory, as applied to particle, condensed matter and gravitational physics, and concern a variety of interesting subjects. These include geometricalDtopological effects in quantum theory, fractional charge, time travel, relativistic quantized fields in and out of thermal equilibrium and quantum modifications of symmetry in physical systems.Many readers will find this a useful volume, especially theoretical physicists and mathematicians. The material will be of interest to both the expert who will find well-presented novel and stimulating viewpoints of various subjects and the novice who will find complete, detailed and precise descriptions of important topics of current interest, in theoretical and mathematical physics.

Diverse Topics in Theoretical and Mathematical Physics

Diverse Topics in Theoretical and Mathematical Physics PDF Author: Roman W. Jackiw
Publisher: World Scientific
ISBN: 9789810216979
Category : Science
Languages : en
Pages : 528

Get Book Here

Book Description
In this volume, topics are drawn from field theory, especially gauge field theory, as applied to particle, condensed matter and gravitational physics, and concern a variety of interesting subjects. These include geometricalDtopological effects in quantum theory, fractional charge, time travel, relativistic quantized fields in and out of thermal equilibrium and quantum modifications of symmetry in physical systems.Many readers will find this a useful volume, especially theoretical physicists and mathematicians. The material will be of interest to both the expert who will find well-presented novel and stimulating viewpoints of various subjects and the novice who will find complete, detailed and precise descriptions of important topics of current interest, in theoretical and mathematical physics.

Mathematical Physics

Mathematical Physics PDF Author: Sadri Hassani
Publisher: Springer Science & Business Media
ISBN: 9780387985794
Category : Science
Languages : en
Pages : 1052

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Book Description
For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.

Topics in Contemporary Mathematical Physics

Topics in Contemporary Mathematical Physics PDF Author: Kai Shue Lam
Publisher: World Scientific
ISBN: 9789812384041
Category : Science
Languages : en
Pages : 628

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Book Description
This textbook, pitched at the advanced-undergraduate to beginning-graduate level, focuses on mathematical topics of relevance in contemporary physics that are not usually covered in texts at the same level. Its main purpose is to help students appreciate and take advantage of the modern trend of very productive symbiosis between physics and mathematics. Three major areas are covered: (1) linear operators; (2) group representations and Lie algebra representations; and (3) topology and differential geometry. The features of this work include: an exposition style which is a fusion of those common in the standard physics and mathematics literatures; a level of exposition that varies from quite elementary to moderately advanced, so that the text should be of interest to a wide audience; a strong degree of thematic unity, despite the diversity of the topics covered; and cross references, so that, from any part of the book, the reader can trace easily where specific concepts or techniques are introduced.

Physics for Mathematicians

Physics for Mathematicians PDF Author: Michael Spivak
Publisher:
ISBN: 9780914098324
Category : Mechanics
Languages : en
Pages : 733

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Book Description


A Course in Modern Mathematical Physics

A Course in Modern Mathematical Physics PDF Author: Peter Szekeres
Publisher: Cambridge University Press
ISBN: 9780521829601
Category : Mathematics
Languages : en
Pages : 620

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Book Description
This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.

Explorations in Mathematical Physics

Explorations in Mathematical Physics PDF Author: Don Koks
Publisher: Springer Science & Business Media
ISBN: 0387309438
Category : Science
Languages : en
Pages : 549

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Book Description
Have you ever wondered why the language of modern physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature? This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You will see how the accelerated frames of special relativity tell us about gravity. On the journey, you will discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology. The book takes a fresh approach to tensor analysis built solely on the metric and vectors, with no need for one-forms. This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods. Don Koks is a physicist at the Defence Science and Technology Organisation in Adelaide, Australia. His doctorate in quantum cosmology was obtained from the Department of Physics and Mathematical Physics at Adelaide University. Prior work at the University of Auckland specialised in applied accelerator physics, along with pure and applied mathematics.

Topics in Quantum Mechanics

Topics in Quantum Mechanics PDF Author: Floyd Williams
Publisher: Springer Science & Business Media
ISBN: 9780817643119
Category : Mathematics
Languages : en
Pages : 420

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Book Description
This self-contained text presents quantum mechanics from the point of view of some computational examples with a mixture of mathematical clarity often not found in texts offering only a purely physical point of view. Emphasis is placed on the systematic application of the Nikiforov-- Uvarov theory of generalized hypergeometric differential equations to solve the Schr"dinger equation and to obtain the quantization of energies from a single unified point of view.

Mathematical Physics

Mathematical Physics PDF Author: Donald H. Menzel
Publisher: Courier Corporation
ISBN: 0486139107
Category : Science
Languages : en
Pages : 434

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Book Description
Useful treatment of classical mechanics, electromagnetic theory, and relativity includes explanations of function theory, vectors, matrices, dyadics, tensors, partial differential equations, other advanced mathematical techniques. Nearly 200 problems with answers.

Many-Body Problems and Quantum Field Theory

Many-Body Problems and Quantum Field Theory PDF Author: Philippe Andre Martin
Publisher: Springer Science & Business Media
ISBN: 3662084902
Category : Science
Languages : en
Pages : 442

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Book Description
Emphasis is placed on analogies between the various systems rather than on advanced or specialized aspects, with the purpose of illustrating common ideas within different domains of physics. Starting from a basic knowledge of quantum mechanics and classical electromagnetism, the exposition is self-contained and explicitly details all steps of the derivations. The new edition features a substantially new treatment of nucleon pairing.

Quantum Field Theory in Condensed Matter Physics

Quantum Field Theory in Condensed Matter Physics PDF Author: Naoto Nagaosa
Publisher: Springer Science & Business Media
ISBN: 3662037742
Category : Science
Languages : en
Pages : 213

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Book Description
This is an approachable introduction to the important topics and recent developments in the field of condensed matter physics. First, the general language of quantum field theory is developed in a way appropriate for dealing with systems having a large number of degrees of freedom. This paves the way for a description of the basic processes in such systems. Applications include various aspects of superfluidity and superconductivity, as well as a detailed description of the fractional quantum Hall liquid.