An Introduction to Quantum Stochastic Calculus (Modern Birkhäuser Classics) - Image 1

Price loading...

Birkhauser An Introduction to Quantum Stochastic Calculus (Modern Birkhäuser Classics)

Name: An Introduction to Quantum Stochastic Calculus (Modern Birkhauser Classics)
Brand: Birkhauser

Functional Analysis

Price History & Forecast

No Price Data Available

Price history will appear here once data is collected from Amazon.

Price Distribution

No price data available for histogram

Description

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 commutation relations or, equivalently, the uncertainty principle. Quantum stochastic integration enables the possibility of seeing new relationships between fermion and boson fields. Many quantum dynamical semigroups as well as classical Markov semigroups are realised 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. - - - This is an excellent volume which will be a valuable companion both to 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) This monograph gives a systematic and self-contained introduction to the Fock space quantum stochastic calculus in its basic form (...) by making emphasis on the mathematical aspects of quantum formalism and its connections with classical probability and by extensive presentation of carefully selected functional analytic material. This makes the book very convenient for a reader with the probability-theoretic orientation, wishing to make acquaintance with wonders of the noncommutative probability, and, more specifcally, for a mathematics student studying this field. (Zentralblatt MATH) Elegantly written, withobvious 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)

Product Specifications

Brand: Birkhauser
Format: paperback
ASIN: 3034805659
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Functional Analysis
Domain: Amazon UK
Publication Date: 14 December 2012
Listed Since: 07 September 2012

Barcode

No barcode data available

Birkhauser An Introduction to Quantum Stochastic Calculus (Modern Birkhäuser Classics)

Price History & Forecast

No Price Data Available

Price Distribution

Description

Product Specifications

Barcode

Similar Products You Might Like

Introduction to Stochastic Integration (Modern Birkhäuser Classics)

Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics

Introduction To Quantum-State Estimation

The Theory of Open Quantum Systems

Symplectic Geometry and Quantum Mechanics: 166 (Operator Theory: Advances and Applications)

Quantum Foundations, Probability and Information (STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health)

Quantum Mechanics for Mathematicians (Graduate Studies in Mathematics)

The Quantum Dice: An Introduction to Stochastic Electrodynamics: 75 (Fundamental Theories of Physics, 75)

Stochastic Quantum Mechanics and Quantum Spacetime: A Consistent Unification of Relativity and Quantum Theory Based on Stochastic Spaces: 4 (Fundamental Theories of Physics, 4)

Introduction to the Maths and Physics of Quantum Mechanics

Quantum Mechanics: A New Introduction

Microstates, Entropy and Quanta: An Introduction to Statistical Mechanics

Quantum versus Classical Mechanics and Integrability Problems: towards a unification of approaches and tools

Elementary Quantum Mechanics: With Problems And Solutions

Open Quantum Systems: A Mathematical Perspective (Tutorials, Schools, and Workshops in the Mathematical Sciences)

Quantum Mechanics on Phase Space: 74 (Fundamental Theories of Physics, 74)

Quantum Mechanics on Phase Space: 74 (Fundamental Theories of Physics, 74)

A Concise Introduction to Quantum Mechanics (IOP Concise Physics)

Bohmian Mechanics, Open Quantum Systems and Continuous Measurements

Introduction to the Theory of Quantum Information Processing (Graduate Texts in Physics)

Hilbert Space and Quantum Mechanics

Introduction To The Mathematical Structure Of Quantum Mechanics, An: A Short Course For Mathematicians: 27 (Advanced Series In Mathematical Physics)

Fundamental Mathematical Structures of Quantum Theory: Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation

Fundamental Mathematical Structures of Quantum Theory: Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation