Density Matrix Theory and Applications / Edition 2

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1996 Hard cover 2nd ed. New. No dust jacket as issued. Sewn binding. Cloth over boards. 319 p. Contains: Illustrations. Plenum Series in Behavioral Psychophysiology and ... Medicine. Audience: General/trade. BRAND NEW. Read more Show Less

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Overview

Quantum mechanics has been mostly concerned with those states of systems that are represented by state vectors. In many cases, however, the system of interest is incompletely determined; for example, it may have no more than a certain probability of being in the precisely defined dynamical state characterized by a state vector. Because of this incomplete knowledge, a need for statistical averaging arises in the same sense as in classical physics. The density matrix was introduced by J. von Neumann in 1927 to describe statistical concepts in quantum mechanics. The main virtue of the density matrix is its analytical power in the construction of general formulas and in the proof of general theorems. The evaluation of averages and probabilities of the physical quantities characterizing a given system is extremely cumbersome without the use of density matrix techniques. The representation of quantum mechanical states by density matrices enables the maximum information available on the system to be expressed in a compact manner and hence avoids the introduction of unnecessary variables. The use of density matrix methods also has the advan­ tage of providing a uniform treatment of all quantum mechanical states, whether they are completely or incompletely known. Until recently the use of the density matrix method has been mainly restricted to statistical physics. In recent years, however, the application of the density matrix has been gaining more and more importance in many other fields of physics.

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Editorial Reviews

Booknews
In the first three chapters, the basic concepts and methods of density matrix theory are introduced, with discussion of some of the fundamental ideas of quantum mechanics and statistics. The second part of the book (chapters 4-6) is devoted to the application of the irreducible tensor method in density matrix theory. In the last chapter is discussed the density matrix approach to irreversible processes relating reversible and irreversible dynamics via generalized Master equations. Annotation c. by Book News, Inc., Portland, Or.
From the Publisher
from a review of the First Edition:
'[The author's] clear pedagogic style makes this a very useful reference work for readers who want to learn density matrix theory. ... Highly recommended, particularly for graduate school physics libraries.'
Choice
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Product Details

  • ISBN-13: 9780306453410
  • Publisher: Springer US
  • Publication date: 10/31/1996
  • Series: Physics of Atoms and Molecules Series
  • Edition description: 2nd ed. 1996
  • Edition number: 2
  • Pages: 327
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.81 (d)

Meet the Author

Karl Blum is Professor ath the University of M√ľnster, Germany.

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Table of Contents

1 Basic Concepts 1
2 General Density Matrix Theory 39
3 Coupled Systems 67
4 Irreducible Components of the Density Matrix 91
5 Radiation from Polarized Atoms. Quantum Beats 143
6 Some Applications 161
7 The Role of Orientation and Alignment in Molecular Processes 189
8 Quantum Theory of Relaxation 261
App. A The Direct Product 303
App. B State Multipoles for Coupled Systems 306
App. C Formulas from Angular Momentum Theory 308
App. D The Efficiency of a Measuring Device 312
App. E The Scattering and Transition Operators 314
References 317
Index 321
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