Quantum Probability for Probabilists

Quantum Probability for Probabilists PDF Author: Paul-Andre Meyer
Publisher: Springer
ISBN: 3662215586
Category : Mathematics
Languages : en
Pages : 301

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Book Description
These notes contain all the material accumulated over six years in Strasbourg to teach "Quantum Probability" to myself and to an audience of commutative probabilists. The text, a first version of which appeared in successive volumes of the Seminaire de Probabilite8, has been augmented and carefully rewritten, and translated into international English. Still, it remains true "Lecture Notes" material, and I have resisted suggestions to publish it as a monograph. Being a non-specialist, it is important for me to keep the moderate right to error one has in lectures. The origin of the text also explains the addition "for probabilists" in the title : though much of the material is accessible to the general public, I did not care to redefine Brownian motion or the Ito integral. More precisely than "Quantum Probability" , the main topic is "Quantum Stochastic Calculus" , a field which has recently got official recognition as 81825 in the Math.

Quantum Probability for Probabilists

Quantum Probability for Probabilists PDF Author: Paul-Andre Meyer
Publisher: Springer
ISBN: 3662215586
Category : Mathematics
Languages : en
Pages : 301

Get Book Here

Book Description
These notes contain all the material accumulated over six years in Strasbourg to teach "Quantum Probability" to myself and to an audience of commutative probabilists. The text, a first version of which appeared in successive volumes of the Seminaire de Probabilite8, has been augmented and carefully rewritten, and translated into international English. Still, it remains true "Lecture Notes" material, and I have resisted suggestions to publish it as a monograph. Being a non-specialist, it is important for me to keep the moderate right to error one has in lectures. The origin of the text also explains the addition "for probabilists" in the title : though much of the material is accessible to the general public, I did not care to redefine Brownian motion or the Ito integral. More precisely than "Quantum Probability" , the main topic is "Quantum Stochastic Calculus" , a field which has recently got official recognition as 81825 in the Math.

Quantum Probability Communications

Quantum Probability Communications PDF Author: R. L. Hudson
Publisher: World Scientific
ISBN: 9789810235413
Category : Mathematics
Languages : en
Pages : 376

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Book Description
Much has changed in the world of quantum probability since the publication of the last volume in this series. Giants in the field, such as P-A Meyer, K R Parthasarathy and W von Waldenfels, have reached the age of retirement. Readers will, however, be pleased to see evidence in the present volume that Partha remains as creatively active as ever. The field itself, regarded at one time as the esoteric province of a small group of devotees, has come of age. It has attracted the enthusiastic commitment of an ever-growing army of young mathematicians and physicists, many of whom are represented here.

Quantum Probability

Quantum Probability PDF Author: Stanley Gudder
Publisher: Academic Press
ISBN:
Category : Mathematics
Languages : en
Pages : 344

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Book Description
Quantum probability is a subtle blend of quantum mechanics and classical probability theory. Its important ideas can be traced to the pioneering work of Richard Feynman in his path integral formalism. Only recently have the concept and ideas of quantum probability been presented in a rigorous axiomatic framework, and this book provides a coherent and comprehensive exposition of this approach. It gives a unified treatment of operational statistics, generalized measure theory and the path integral formalism that can only be found in scattered research articles. The first two chapters survey the necessary background in quantum mechanics and probability theory and therefore the book is fairly self-contained, assuming only an elementary knowledge of linear operators in Hilbert space.

Probabilities on the Heisenberg Group

Probabilities on the Heisenberg Group PDF Author: Daniel Neuenschwander
Publisher: Springer
ISBN: 3540685901
Category : Mathematics
Languages : en
Pages : 146

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Book Description
The Heisenberg group comes from quantum mechanics and is the simplest non-commutative Lie group. While it belongs to the class of simply connected nilpotent Lie groups, it turns out that its special structure yields many results which (up to now) have not carried over to this larger class. This book is a survey of probabilistic results on the Heisenberg group. The emphasis lies on limit theorems and their relation to Brownian motion. Besides classical probability tools, non-commutative Fourier analysis and functional analysis (operator semigroups) comes in. The book is intended for probabilists and analysts interested in Lie groups, but given the many applications of the Heisenberg group, it will also be useful for theoretical phycisists specialized in quantum mechanics and for engineers.

Partial Differential Equations for Probabilists

Partial Differential Equations for Probabilists PDF Author: Daniel W. Stroock
Publisher: Cambridge University Press
ISBN: 0521886511
Category : Mathematics
Languages : en
Pages : 216

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Book Description
Kolmogorov's forward, basic results -- Non-elliptic regularity results -- Preliminary elliptic regularity results -- Nash theory -- Localization -- On a manifold -- Subelliptic estimates and Hörmander's theorem.

Quantum Probability for Probabilists

Quantum Probability for Probabilists PDF Author: Paul André Meyer
Publisher:
ISBN: 9780803278226
Category : Probabilities
Languages : en
Pages :

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Book Description


The Theory of Quantum Information

The Theory of Quantum Information PDF Author: John Watrous
Publisher:
ISBN: 1107180562
Category : Computers
Languages : en
Pages : 599

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Book Description
Formal development of the mathematical theory of quantum information with clear proofs and exercises. For graduate students and researchers.

Probability and Phase Transition

Probability and Phase Transition PDF Author: G.R. Grimmett
Publisher: Springer Science & Business Media
ISBN: 9401583269
Category : Science
Languages : en
Pages : 334

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Book Description
This volume describes the current state of knowledge of random spatial processes, particularly those arising in physics. The emphasis is on survey articles which describe areas of current interest to probabilists and physicists working on the probability theory of phase transition. Special attention is given to topics deserving further research. The principal contributions by leading researchers concern the mathematical theory of random walk, interacting particle systems, percolation, Ising and Potts models, spin glasses, cellular automata, quantum spin systems, and metastability. The level of presentation and review is particularly suitable for postgraduate and postdoctoral workers in mathematics and physics, and for advanced specialists in the probability theory of spatial disorder and phase transition.

Creating Modern Probability

Creating Modern Probability PDF Author: Jan von Plato
Publisher: Cambridge University Press
ISBN: 9780521597357
Category : Mathematics
Languages : en
Pages : 336

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Book Description
In this book the author charts the history and development of modern probability theory.

Quantum Mechanics

Quantum Mechanics PDF Author: Thomas Banks
Publisher: CRC Press
ISBN: 0429797001
Category : Science
Languages : en
Pages : 569

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Book Description
This authoritative, advanced introduction provides a complete, modern perspective on quantum mechanics. It clarifies many common misconceptions regarding wave/particle duality and the correct interpretation of measurements. The author develops the text from the ground up, starting from the fundamentals and presenting information at an elementary level, avoiding unnecessarily detailed and complex derivations in favor of simple, clear explanations. He begins in the simplest context of a two-state system and shows why quantum mechanics is inevitable, and what its relationship is to classical mechanics. He also outlines the decoherence approach to interpreting quantum mechanics. Distinguishing features: Provides a thorough grounding in the principles and practice of quantum mechanics, including a core understanding of the behavior of atoms, molecules, solids, and light. Utilizes easy-to-follow examples and analogies to illustrate important concepts. Helps develop an intuitive sense for the field, by guiding the reader to understand how the correct formulas reduce to the non-relativistic ones. Includes numerous worked examples and problems for each chapter.