You are here: Home / Shop / Product Detail Page |

## The Theory of Open Quantum Systems (Softcover)"This book treats the central physical concepts and mathematical techniques used to investigate the dynamics of open quantum systems." — From the back cover ## $48.95 |

### Need More Info?

Please contact us if you've got questions about this product.## Condition

**VERY GOOD:** This book is in very good condition, showing only slight signs of use and wear (such as on the cover corners). The book was printed on acid-free paper.

## Description

From the back cover: “To provide a self-contained presentation the text begins with a survey of classical probability theory and with an introduction to the foundations of quantum mechanics with particular emphasis on its statistical interpretation. The fundamentals of density matrix theory, quantum Markov processes and dynamical semi-groups are developed. The most important master equations used in quantum optics and in the theory of quantum Brownian motion are applied to the study of many examples. Special attention is paid to the theory of environment induced decoherence, its role in the dynamical description of the measurement process and tot he experimental observation of decohering Schrödinger cat states.

“The book induces the modern formation of open quantum systems in terms of stochastic processes in Hilbert space. Stochastic wave function methods and Monte Carlo algorithms are designed and applied to important examples from quantum optics and atomic physics, such as Lévy statistics in the laser cooling of atoms, and the damped Jaynes-Cummings model. The basic features of non-Markovian quantum behaviour of open systems are examined on the basis of projection operator techniques. In addition, the book expounds the relativistic theory of quantum measurements and discusses several examples from a unified perspective, e.g., non-local measurements and quantum teleportation. Influence functional and super-operator techniques are employed to study the density matrix theory in quantum electrodynamics and applications to the destruction of quantum coherence are presented.

“The text addresses graduate students and lecturers in physics and applied mathematics, as well as researchers with interests in fundamental questions in quantum mechanics and its applications. Many analytical methods and computer simulation techniques are developed and illustrated with the help of numerous specific examples. Only a basic understanding of quantum mechanics and of elementary concepts of probability theory is assumed.”

**BRIEF CONTENTS**

**I. Probability in Classical and Quantum Physics**

- Classical probability theory and stochastic processes
- Quantum probability

**II. Density Matrix Theory**

- Quantum master equations
- Decoherence

**III. Stochastic Processes in Hilbert Space**

- Probability distributions on Hilbert space
- Stochastic dynamics in Hilbert space
- The stochastic simulation method
- Applications to quantum optical systems

**IV. Non-Markovian Quantum Processes**

- Projection operator techniques
- Non-Markovian dynamics in physical systems

**V. Relativistic Quantum Processes**

- Measurement in relativistic quantum mechanics
- Open quantum electrodynamics

## Details

- SKU:
- 2068
- Author:
- Breuer, Heinz-Peter and Francesco Petruccione
- Publisher:
- Oxford University Press
- Publish Date:
- 2007 (Second Printing)
- Format:
- Softcover
- Weight (pounds):
- 2.04
- Dimensions (W”xL”xH”):
- 6.15″x9.2″x1.3″
- ISBN-13:
- 9780199213900
- ISBN-10:
- 0199213909

## Related Products

### Products related to "The Theory of Open Quantum Systems (Softcover)"

- Views:

#### Stochastic Modelling and Applied Probability 51: Applied Probability and Queues, Second Edition (Hardback)

$91.29

"This book serves as an introduction to queueing theory and provides a thorough treatment of tools such as Markov processes, renewal theory, random walks, Lévy processes, matrix-analytic methods, and chagne of measure. ..." — From the back cover

#### Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization (Hardback)

$70.95

"This timely and synoptic text contains the essentials of queueing networks, from the classical product-form theory to the more recent developments such as diffusion and fluid limits, stochastic comparisons, stability, dynamic scheduling, and optimization." — From the back cover

#### The Stability of Matter in Quantum Mechanics (Hardback)

$40.49

"This book is an up-to-date account for researchers, and its pedagogical style makes it suitable for advanced undergraduate and graduate courses in mathematical physics." — From the back cover

#### Princeton Landmarks in Mathematics and Physics: The Classical Groups: Their Invariants and Representations (Softcover)

$35.99

Originally published in 1939, this second edition of Hermann Weyl's renowned volume on the classical groups in mathematics has been updated by Princeton University Press and is recommended for the shelves of advanced students, teaching faculty, and professional physicists and mathematicians.

#### Interdisciplinary Applied Mathematics: Quantum Dynamics with Trajectories: Introduction to Quantum Hydrodynamics (Hardback)

$21.49

"Remarkable progress has recently been made in the application of quantum trajectories as the computational tool for solving quantum mechanical problems. This is the first book to present these developments in the broader context of the hydrodynamical formulation of quantum dynamics." — From the back cover

#### Stochastic Models: An Algorithmic Approach (Softcover)

$149.99

"

*Stochastic Models: An Algorithmic Approach*fulfills the widely perceived need for an introductory text which demonstrates the effective use of simple stochastic models to gain insight into the behaviour of complex stochastic systems." — From the back cover#### Algebra 1 2.0 (Teaching Textbook, Answer Key & Test Bank, 10-Disc CD Set)

$149.00

This is a "technologically-advanced, math curriculum designed specifically for homeschoolers." It is meant for the student who enjoys independent study.

#### Algebra 2 2.0 (Teaching Textbook, Answer Key & Test Bank, 12-Disc CD Set)

$149.00

This is a "technologically-advanced, math curriculum designed specifically for homeschoolers." It is meant for the student who enjoys independent study.

#### Applied Mathematical Sciences 82: Linear Integral Equations, Second Edition (Hardback)

$115.25

"in the the ten years since the first edition of this book appeared, integral equations and integral operators have revealed more of their mathematical beauty and power to me. Therefore, I am pleased to have the opportunity to share some of these new insights with the readers of this book." — Rainer Kress, Author, in the Preface to the Second Edition

#### Many-Bodied Theory Exposed! : Propagator Description of Quantum Mechanics in Many-Body Systems, 2nd Edition (Hardback)

$113.99

"This comprehensive textbook on the quantum mechanics of identical particles includes a wealth of valuable experimental data, in particular recent results from direct knockout reactions directly related to the single-particle propagator in many-body theory." — From the back cover

#### Introduction to The Theory of Distributions, Second Edition (Hardback)

$99.95

This book is "... a very clear, accurate and stimulating version of an important topic, with the emphasis in the right place and with the minimum of fuss." — Review of the first edition in

*Bulletin of the London Mathematical Society*#### Encyclopedia of Mathematics and Its Applications 39: Combinatorial Matrix Theory (Hardback)

$93.89

"This is the first book length exposition of basic results of combinatorial matrix theory, that is, the use of combinatorics and graph theory in matrix theory (and vice versa) and the study of intrinsic properties of matrices viewed as arrays of numbers rather than as algebraic objects." — From the Dust Jacket

#### Nonlinear Systems, Second Edition (Hardback)

$79.95

"This text is intended for a first-year graduate-level course on nonlinear systems. It may also be used for self-study or reference by engineers and applied mathematicians." — From the Preface (page v)

#### Introduction to Symmetry Analysis (Softcover with CD-ROM)

$74.79

"Symmetry analysis based on Lie group theory is the most important method for solving nonlinear problems aside from numerical computation. ... The text emphasizes applications, and numerous worked examples are used to illustrate basic concepts." — From the back cover

#### Applied Mathematical Sciences 40: Linear Operator Theory in Engineering and Science (Softcover)

$72.95

"The goal of this book is to present the basic facts of functional analysis in a form suitable for engineers, scientists, and applied mathematicians. Although the Definition-Theorem-Proof format of mathematics is used, careful attention is given to motivation of the material covered and many illustrative examples are presented." — Preface

#### Mathematics and Its Applications: Division Algebras: Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics (Hardback)

$68.32

"This is a book of ideas. Most of them arise out of my fascination with the division algebras and their tantalizing potential for a deep connection to physics....Inevitably many of these mathematical ideas will be shown to be intimately linked to the design of our physical world." — Geoffrey M. Dixon, Author

#### Texts in Applied Mathematics 36: A Course in Robust Control Theory: A Convex Approach (Hardback)

$68.29

"This goal of this book is to give a graduate-level course on robust control theory that emphasizes ... new developments, but at the same time conveys the main principles and ubiquitous tools at the heart of the subject. Its pedagogical objectives are to introduce a coherent and unified framework for studying robust control theory, to provide students with the control-theoretic background required to read and contributed to the research literature, and the present the main ideas and demonstrations of the major results of robust control theory." — From the back cover

#### Quantum Hall Effects: Field Theoretical Approach and Related Topics, Second Edition (Hardback)

$67.99

"Presenting an instructive and comprehensive overview of the QHE, this book is also suitable as an introduction to quantum field theory with vivid applications." — From the back cover

#### Wiley Classics Library: Nonlinear Oscillations (Softcover)

$67.95

"Because this book is intended for classroom use as well as for a reference to researchers, it is nearly self-contained." — From the Preface (page vii)

#### Handbook of Integral Equations (Hardback)

$66.59

"To accommodate different mathematical backgrounds, the authors avoid special terminology; outline some of the methods in a schematic, simplified manner; number the equations and formulas separately in each section; and arrange the equations in increasing order of complexity." — From the back cover