The Analytic S-Matrix

The Analytic S-Matrix

Author: R. J. Eden

Publisher: Cambridge University Press

Published: 2002-04-30

Total Pages: 300

ISBN-13: 9780521523363

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A theory of the S-Matrix, starting from physically plausible assumptions and looking at the mathematical consequences.


Scattering Matrix Approach to Non-stationary Quantum Transport

Scattering Matrix Approach to Non-stationary Quantum Transport

Author: Michael V. Moskalets

Publisher: World Scientific

Published: 2012

Total Pages: 297

ISBN-13: 1848168349

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The aim of this book is to introduce the basic elements of the scattering matrix approach to transport phenomena in dynamical quantum systems of non-interacting electrons. This approach permits a physically clear and transparent description of transport processes in dynamical mesoscopic systems, promising basic elements of solid-state devices for quantum information processing. One of the key effects, the quantum pump effect, is considered in detail. In addition, the theory for the recently implemented new dynamical source ? injecting electrons with time delay much larger than an electron coherence time ? is offered. This theory provides a simple description of quantum circuits with such a single-particle source and shows in an unambiguous way that the tunability inherent to the dynamical systems (in contrast to the stationary ones) leads to a number of unexpected but fundamental effects.


Quantum Field Theory for the Gifted Amateur

Quantum Field Theory for the Gifted Amateur

Author: Tom Lancaster

Publisher: Oxford University Press

Published: 2014-04

Total Pages: 505

ISBN-13: 0199699321

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Quantum field theory provides the theoretical backbone to most modern physics. This book is designed to bring quantum field theory to a wider audience of physicists. It is packed with worked examples, witty diagrams, and applications intended to introduce a new audience to this revolutionary theory.


The Random Matrix Theory of the Classical Compact Groups

The Random Matrix Theory of the Classical Compact Groups

Author: Elizabeth S. Meckes

Publisher: Cambridge University Press

Published: 2019-08-01

Total Pages: 225

ISBN-13: 1108317995

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This is the first book to provide a comprehensive overview of foundational results and recent progress in the study of random matrices from the classical compact groups, drawing on the subject's deep connections to geometry, analysis, algebra, physics, and statistics. The book sets a foundation with an introduction to the groups themselves and six different constructions of Haar measure. Classical and recent results are then presented in a digested, accessible form, including the following: results on the joint distributions of the entries; an extensive treatment of eigenvalue distributions, including the Weyl integration formula, moment formulae, and limit theorems and large deviations for the spectral measures; concentration of measure with applications both within random matrix theory and in high dimensional geometry; and results on characteristic polynomials with connections to the Riemann zeta function. This book will be a useful reference for researchers and an accessible introduction for students in related fields.


Quantum Mechanics in Simple Matrix Form

Quantum Mechanics in Simple Matrix Form

Author: Thomas F. Jordan

Publisher: Courier Corporation

Published: 2012-05-23

Total Pages: 274

ISBN-13: 0486137066

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With this text, basic quantum mechanics becomes accessible to undergraduates with no background in mathematics beyond algebra. Includes more than 100 problems and 38 figures. 1986 edition.


Solitons

Solitons

Author: P. G. Drazin

Publisher: Cambridge University Press

Published: 1989-02-09

Total Pages: 244

ISBN-13: 9780521336550

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This textbook is an introduction to the theory of solitons in the physical sciences.


Collision Theory

Collision Theory

Author: Marvin L. Goldberger

Publisher: Courier Corporation

Published: 2004-01-01

Total Pages: 930

ISBN-13: 0486435075

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A systematic description of the basic principles of collision theory, this graduate-level text presents a detailed examination of scattering processes and formal scattering theory, the two-body problem with central forces, scattering by noncentral forces, lifetime and decay of virtual states, an introduction to dispersion theory, and more. 1964 edition.


Introduction to Matrix Methods in Optics

Introduction to Matrix Methods in Optics

Author: Anthony Gerrard

Publisher: Courier Corporation

Published: 1994-01-01

Total Pages: 382

ISBN-13: 9780486680446

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Clear, accessible guide requires little prior knowledge and considers just two topics: paraxial imaging and polarization. Lucid discussions of paraxial imaging properties of a centered optical system, optical resonators and laser beam propagation, matrices in polarization optics and propagation of light through crystals, much more. 60 illustrations. Appendixes. Bibliography.