Stochastic Processes in Classical and Quantum Systems PDF Download
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Author: Sergio A. Albeverio (Mathematician, Switzerland, Germany)
Publisher:
ISBN: 9780387171661
Category :
Languages : en
Pages : 0
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Book Description
Author: Sergio A. Albeverio (Mathematician, Switzerland, Germany)
Publisher:
ISBN: 9780387171661
Category :
Languages : en
Pages : 0
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Book Description
Author: Masao Nagasawa
Publisher: Birkhäuser
ISBN: 3034883838
Category : Mathematics
Languages : en
Pages : 609
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Book Description
From the reviews: "The text is almost self-contained and requires only an elementary knowledge of probability theory at the graduate level. The book under review is recommended to mathematicians, physicists and graduate students interested in mathematical physics and stochastic processes. Furthermore, some selected chapters can be used as sub-textbooks for advanced courses on stochastic processes, quantum theory and quantum chemistry." ZAA
Author: Sergio A. Albeverio (Mathematician, Switzerland, Germany)
Publisher:
ISBN: 9783540171669
Category :
Languages : en
Pages : 0
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Book Description
Author: Stanley P. Gudder
Publisher: Courier Corporation
ISBN: 0486149188
Category : Science
Languages : en
Pages : 242
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Book Description
This introductory survey of stochastic methods and techniques in quantum physics, functional analysis, probability theory, communications, and electrical engineering also serves as a useful and comprehensive reference volume. 1979 edition.
Author: Giulio Casati
Publisher:
ISBN: 9783662183656
Category :
Languages : en
Pages : 388
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Book Description
Author: Kalyan B. Sinha
Publisher: Cambridge University Press
ISBN: 1139461699
Category : Mathematics
Languages : en
Pages : 301
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Book Description
The classical theory of stochastic processes has important applications arising from the need to describe irreversible evolutions in classical mechanics; analogously quantum stochastic processes can be used to model the dynamics of irreversible quantum systems. Noncommutative, i.e. quantum, geometry provides a framework in which quantum stochastic structures can be explored. This book is the first to describe how these two mathematical constructions are related. In particular, key ideas of semigroups and complete positivity are combined to yield quantum dynamical semigroups (QDS). Sinha and Goswami also develop a general theory of Evans-Hudson dilation for both bounded and unbounded coefficients. The unique features of the book, including the interaction of QDS and quantum stochastic calculus with noncommutative geometry and a thorough discussion of this calculus with unbounded coefficients, will make it of interest to graduate students and researchers in functional analysis, probability and mathematical physics.
Author: S. Albeverio
Publisher: Springer
ISBN: 354039138X
Category : Mathematics
Languages : en
Pages : 239
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Book Description
Author: Philipp Strasberg
Publisher: Oxford University Press
ISBN: 0192648144
Category : Science
Languages : en
Pages : 320
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Book Description
The theory of thermodynamics has been one of the bedrocks of 19th-century physics, and thermodynamic problems have inspired Planck's quantum hypothesis. One hundred years later, in an era where we design increasingly sophisticated nanotechnologies, researchers in quantum physics have been 'returning to their roots', attempting to reconcile modern nanoscale devices with the theory of thermodynamics. This textbook explains how it is possible to unify the two opposite pictures of microscopic quantum physics and macroscopic thermodynamics in one consistent framework, proving that the ancient theory of thermodynamics still offers many remarkable insights into present-day problems. This textbook focuses on the microscopic derivation and understanding of key principles and concepts and their interrelation. The topics covered in this book include (quantum) stochastic processes, (quantum) master equations, local detailed balance, classical stochastic thermodynamics, (quantum) fluctuation theorems, strong coupling and non-Markovian effects, thermodynamic uncertainty relations, operational approaches, Maxwell's demon, and time-reversal symmetry, among other topics. The textbook also explores several practical applications of the theory in more detail, including single-molecule pulling experiments, quantum transport and thermoelectric effects in quantum dots, the micromaser, and related setups in quantum optics. The aim of this book is to inspire readers to investigate a plethora of modern nanoscale devices from a thermodynamic point of view, allowing them to address their dissipation, efficiency, reliability, and power based on a conceptually clear understanding about the microscopic origin of heat, entropy, and the second law. The book is accessible to graduate students, post-docs, and lecturers, but will also be of interest to all researchers striving for a deeper understanding of the laws of thermodynamics beyond their traditional realm of applicability.
Author: Sergio Albeverio
Publisher:
ISBN:
Category :
Languages : en
Pages : 550
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Book Description
Author: K.R. Parthasarathy
Publisher: Birkhäuser
ISBN: 3034886411
Category : Mathematics
Languages : en
Pages : 299
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Book Description
"Elegantly written, with obvious appreciation for fine points of higher mathematics...most notable is [the] author's effort to weave classical probability theory into [a] quantum framework." – The American Mathematical Monthly "This is an excellent volume which will be a valuable companion both for those who are already active in the field and those who are new to it. Furthermore there are a large number of stimulating exercises scattered through the text which will be invaluable to students." – Mathematical Reviews An Introduction to Quantum Stochastic Calculus aims to deepen our understanding of the dynamics of systems subject to the laws of chance both from the classical and the quantum points of view and stimulate further research in their unification. This is probably the first systematic attempt to weave classical probability theory into the quantum framework and provides a wealth of interesting features: The origin of Ito's correction formulae for Brownian motion and the Poisson process can be traced to communication relations or, equivalently, the uncertainty principle. Quantum stochastic interpretation enables the possibility of seeing new relationships between fermion and boson fields. Quantum dynamical semigroups as well as classical Markov semigroups are realized through unitary operator evolutions. The text is almost self-contained and requires only an elementary knowledge of operator theory and probability theory at the graduate level.
