Автор: Breuer, Heinz-Peter; Petruccione, Francesco Название: The Theory of Open Quantum Systems ISBN: 0199213909 ISBN-13(EAN): 9780199213900 Издательство: Oxford Academ Рейтинг: Цена: 6141 р. Наличие на складе: Поставка под заказ.

Описание: Treats the central physical concepts and mathematical techniques used to investigate the dynamics of open quantum systems. This book is aimed at students and lecturers in physics and applied mathematics and develops many analytical methods and computer simulation techniques and illustrates them with the help of specific examples.

Описание: The field of quantum computing has experienced rapid development and many different experimental and theoretical groups have emerged worldwide.This book presents the key elements of quantum computation and communication theories and their implementation in an easy-to-read manner for readers coming from physics, mathematics and computer science backgrounds. Integrating both theoretical aspects and experimental verifications of developing quantum computers, the author explains why particular mathematical methods, physical models and realistic implementations might provide critical steps towards achieving the final goal - constructing quantum computers and quantum networks. The book serves as an excellent introduction for new researchers and also provides a useful review for specialists in the field.

Автор: Ghatak Ajoy, Lokanathan S. Название: Quantum Mechanics: Theory and Applications ISBN: 1402021291 ISBN-13(EAN): 9781402021299 Издательство: Springer Рейтинг: Цена: 13980 р. Наличие на складе: Нет в наличии.

Описание: An understanding of quantum mechanics is vital to all students of physics, chemistry and electrical engineering, but requires a lot of mathematical concepts, the details of which are given with great clarity in this book. Various concepts have been derived from first principles, so it can also be used for self-study. The chapters on the JWKB approximation, time-independent perturbation theory and effects of magnetic field stand out for their clarity and easy-to-understand mathematics. Two complete chapters on the linear harmonic oscillator provide a very detailed discussion of one of the most fundamental problems in quantum mechanics. Operator algebra is used to show the ease with which one can calculate the harmonic oscillator wave functions and study the evolution of the coherent state. Similarly, three chapters on angular momentum give a detailed account of this important problem. Perhaps the most attractive feature of the book is the excellent balance between theory and applications and the large number of applications in such diverse areas as astrophysics, nuclear physics, atomic and molecular spectroscopy, solid-state physics, and quantum well structures.

Автор: Hamhalter J. Название: Quantum Measure Theory ISBN: 1402017146 ISBN-13(EAN): 9781402017148 Издательство: Springer Рейтинг: Цена: 25713 р. Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book is the first systematic treatment of measures on projection lattices of von Neumann algebras. It presents significant recent results in this field. One part is inspired by the Generalized Gleason Theorem on extending measures on the projection lattices of von Neumann algebras to linear functionals. Applications of this principle to various problems in quantum physics are considered (hidden variable problem, Wigner type theorems, decoherence functional, etc.). Another part of the monograph deals with a fascinating interplay of algebraic properties of the projection lattice with the continuity of measures (the analysis of Jauch-Piron states, independence conditions in quantum field theory, etc.). These results have no direct analogy in the standard measure and probability theory. On the theoretical physics side, they are instrumental in recovering technical assumptions of the axiomatics of quantum theories only by considering algebraic properties of finitely additive measures (states) on quantum propositions.

Описание: Shigeji Fujita is Professor of Physics at State University of New York at Buffalo and has published 3 books with the Springer family since 1996. His areas of expertise include statistical physics, solid and liquid state physics, superconductivity and Quantum Hall Effect theory. The measurements of the Hall coefficient RH and the Seebeck coefficient (thermoelectric power) S are known to give the sign of the carrier charge q. In sodium (Na) forming a body-centered cubic (bcc) lattice both RH and S are negative, indicating that the carrier is the "electron". In silver (Ag) forming a face-centered cubic (fcc) lattice the Hall coefficient RH is negative but the Seebeck coefficient S is positive. This complication arises from the Fermi surface of the metal. In conducting matter physics the "electrons" and the "holes" play important roles. The "electrons" ("holes") which by definition circulate counterclockwise (clockwise) around the magnetic field (flux) vector B cannot be discussed based on the prevailing equation of motion in the electron dynamics: dk/dt=q (E + v x B), k = k-vector, E = electric field, v = velocity since the energy-momentum relation is not incorporated in this equation. In this book we shall derive Newtonian equations of motion with a symmetric mass tensor. We diagonalize this tensor by introducing the principal masses and the principal axes of the inverse-mass tensor associated with the Fermi surface. We demonstrate that the "electrons" ("holes") are generated near the Fermi surface, depending on the curvature sign of the surface. As applications, we treat magnetic oscillations in the susceptibility and conductivity, cyclotron resonance, thermopower and infrared Hall effect. In each case we treat the phenomena, starting with the crystal structure and using the Fermi surface. Free-electron model, phonons, kinetic theory of the electron transport, the magnetic susceptibility and the Boltzmann equation method, which are normally covered in the introductory solid state physics course are included as the preliminaries. The text is composed of three parts, Part I preliminaries, Chap. 1-6, Bloch electron dynamics, Chap. 7-10, and applications, Chap. 11-15.

Автор: Saller Heinrich Название: Operational Quantum Theory I / Nonrelativistic Structures ISBN: 0387291997 ISBN-13(EAN): 9780387291994 Издательство: Springer Рейтинг: Цена: 14854 р. Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Operational Quantum Theory I is a distinguished work on quantum theory at an advanced algebraic level. Quantum theory (nonrelativistic quantum mechanics and quantum theory) is developed from a representation theory of lie group and lie algebraic operations acting on both finite and infinite dimensional vector spaces. Time and space related finite dimensional representation structures, with simple Lie operations and, as a non-relativistic application, the Kepler problem which has long fascinated quantum theorists are dealt with in some detail. This book features many equations which allow the reader to better understand the applications of operational quantum theory, and to provide accurate and precise descriptions of the subject.Operational Quantum Theory I aims to understand more deeply on an operational basis what is already known and current developments in quantum theory, but also suggests new solutions to previously unsolved problems.

Автор: Manoukian E.B. Название: Quantum Theory / A Wide Spectrum ISBN: 1402041896 ISBN-13(EAN): 9781402041891 Издательство: Springer Рейтинг: Цена: 10485 р. Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The ultimate modern textbook on Quantum Theory, this graduate-level and self-contained s text is also a reference and research work which provides background for researchers in this discipline, covering important recent developments and most aspects of the theory with fairly detailed presentations. In addition to traditional topics, it includes: selective measurements, Wigner's Theorem of symmetry transformations, generators of quantum transformations, supersymmetry, details on the spectra of Hamiltonians and stability of quantum systems, Bose-Fermi oscillators, coherent states, hyperfine structure of the H-atom for any angular momentum, the non-relativistic Lamb shift, anomalous magnetic moment of the electron, Ramsey oscillatory fields methods, measurement, interference and the role of the environment, the AB effect, geometric phases (including the nonadiabatic and noncyclic), SchrГ¶dinger's cat and quantum decoherence, quantum teleportation and cryptography, quantum dynamics of the Stern-Gerlach effect, Green functions, path integrals, including constrained dynamics, quantum dynamical principle and variations, systematics of multi-electron atoms, stability of matter, collapse of "bosonic matter" and the role of spin, intricacies of scattering, quantum description of relativistic particles for any spin and mass, spinors, helicity, the Spin & Statistics Theorem. In addition it contains numerous problems, some of which are challenging enough for research.

Автор: Bandyopadhyay P. Название: Geometry, Topology and Quantum Field Theory ISBN: 1402014147 ISBN-13(EAN): 9781402014147 Издательство: Springer Рейтинг: Цена: 13980 р. Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This monograph deals with the geometrical and topological aspects related to quantum field theory with special reference to the electroweak theory and skyrmions. This book is unique in its emphasis on the topological aspects of a fermion manifested through chiral anomaly which is responsible for the generation of mass. This has its relevance in electroweak theory where it is observed that weak interaction gauge bosons attain mass topologically. These geometrical and topological features help us to consider a massive fermion as a skyrmion and for a composite state we can realise the internal symmetry of hadrons from reflection group. Also, an overview of noncommutative geometry has been presented and it is observed that the manifold M 4 x Z2 has its relevance in the description of a massive fermion as skyrmion when the discrete space is considered as the internal space and the symmetry breaking gives rise to chiral anomaly leading to topological features.

Автор: Ghatak Ajoy, Lokanathan S. Название: Quantum Mechanics: Theory and Applications ISBN: 1402018509 ISBN-13(EAN): 9781402018503 Издательство: Springer Цена: 24466 р. Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: An understanding of quantum mechanics is vital to all students of physics, chemistry and electrical engineering, but requires a lot of mathematical concepts, the details of which are given with great clarity in this book. Various concepts have been derived from first principles, so it can also be used for self-study. The chapters on the JWKB approximation, time-independent perturbation theory and effects of magnetic field stand out for their clarity and easy-to-understand mathematics. Two complete chapters on the linear harmonic oscillator provide a very detailed discussion of one of the most fundamental problems in quantum mechanics. Operator algebra is used to show the ease with which one can calculate the harmonic oscillator wave functions and study the evolution of the coherent state. Similarly, three chapters on angular momentum give a detailed account of this important problem. Perhaps the most attractive feature of the book is the excellent balance between theory and applications and the large number of applications in such diverse areas as astrophysics, nuclear physics, atomic and molecular spectroscopy, solid-state physics, and quantum well structures.

Описание: This book, which presents a new view of quantum field theory, may serve as a research monograph and an alternative textbook examining topics which are not usually treated in conventional works. The first part contains a new nonperturbative regularization and probability interpretation, as well as a new treatment of effective dynamics for quantum fields based on algebraic representation theory in functional spaces. In the second part these methods are applied to selected topics in high energy physics. In a generalization of de Broglie's fusion theory, gauge bosons and fermions are considered as composites and the basic dynamics of the electro-weak sector of the standard model is derived as an effective theory from a regularized spinor fields model. Linear gravity is discussed in the same way. Audience: This volume will appeal to researchers concerned with the foundation of the theory of matter and forces including gravitation. It will also be of interest to those working with quantum field theoretic methods in various disciplines, such as particle physics, nuclear physics, condensed matter physics, and relativity.

Описание: This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a universal finite-type invariant for knots is constructed as a series of integrals over configuration spaces. This is followed by the contribution of Raimar Wulkenhaar on Euclidean quantum field theory from a statistical point of view. The author also discusses possible renormalization techniques on noncommutative spaces. The third lecture is by Anamaria Font and Stefan Theisen on string compactification with unbroken supersymmetry. The authors show that this requirement leads to internal spaces of special holonomy and describe Calabi-Yau manifolds in detail. The last lecture, by Thierry Fack, is devoted to a K-theory proof of the Atiyah-Singer index theorem and discusses some applications of K-theory to noncommutative geometry. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced results. Each chapter is self-contained and can be read independently.

Автор: Bader, Richard F.W. (Professor of Chemistry, McMas Название: Atoms in Molecules: A Quantum Theory ISBN: 0198558651 ISBN-13(EAN): 9780198558651 Издательство: Oxford Academ Рейтинг: Цена: 11709 р. Наличие на складе: Невозможна поставка.

Описание: The purpose of this monograph is to show that a theory can be developed to underpin the molecular structure hypothesis - that the atoms in a molecule are real, with properties predicted and defined by the laws of quantum mechanics.

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