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The theory of open quantum systems

Author: Heinz-Peter Breuer; F Petruccione
Publisher: Oxford [England] ; New York : Oxford University Press, 2010.
Edition/Format:  Print book : EnglishView all editions and formats
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Document Type: Book
All Authors / Contributors: Heinz-Peter Breuer; F Petruccione
ISBN: 9780199213900 0199213909
OCLC Number: 876166237
Notes: Originally published as hbk.: 2002.
Description: xxi, 613 pages : illustrations ; 24 cm
Contents: Probability in Classical and Quantum Physics --
Classical probability theory and stochastic processes --
The probability space --
The [sigma]-algebra of events --
Probability measures and Kolmogorov axioms --
Conditional probabilities and independence --
Random variables --
Definition of random variables --
Transformation of random variables --
Expectation values and characteristic function --
Stochastic processes --
Formal definition of a stochastic process --
The hierarchy of joint probability distributions --
Markov processes --
The Chapman-Kolmogorov equation --
Differential Chapman-Kolmogorov equation --
Deterministic processes and Liouville equation --
Jump processes and the master equation --
Diffusion processes and Fokker-Planck equation --
Piecewise deterministic processes --
The Liouville master equation --
Waiting time distribution and sample paths --
Path integral representation of PDPs --
Stochastic calculus for PDPs --
Levy processes --
Translation invariant processes --
The Levy-Khintchine formula --
Stable Levy processes --
Quantum probability --
The statistical interpretation of quantum mechanics --
Self-adjoint operators and the spectral theorem --
Observables and random variables --
Pure states and statistical mixtures --
Joint probabilities in quantum mechanics --
Composite quantum systems --
Tensor product --
Schmidt decomposition and entanglement --
Quantum entropies --
Von Neumann entropy --
Relative entropy --
Linear entropy --
The theory of quantum measurement --
Ideal quantum measurements.
Other Titles: Open quantum systems
Responsibility: Heinz-Peter Breuer and Francesco Petruccione.

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