Stochastic Behavior in Classical and Quantum Hamiltonian Systems PDF Download
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Author: Giulio Casati
Publisher:
ISBN: 9783662183656
Category :
Languages : en
Pages : 388
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Book Description
Author: Giulio Casati
Publisher:
ISBN: 9783662183656
Category :
Languages : en
Pages : 388
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Book Description
Author: John C Baez
Publisher: World Scientific
ISBN: 981322696X
Category : Science
Languages : en
Pages : 276
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Book Description
We introduce the theory of chemical reaction networks and their relation to stochastic Petri nets — important ways of modeling population biology and many other fields. We explain how techniques from quantum mechanics can be used to study these models. This relies on a profound and still mysterious analogy between quantum theory and probability theory, which we explore in detail. We also give a tour of key results concerning chemical reaction networks and Petri nets.
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.
Author: Sergio Albeverio
Publisher: Cambridge University Press
ISBN: 9780521419291
Category : Mathematics
Languages : en
Pages : 528
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Book Description
A collection of essays by many of the closest co-workers of Raphael Høegh-Krohn.
Author: Sergio Albeverio
Publisher: Springer Science & Business Media
ISBN: 3540769544
Category : Mathematics
Languages : en
Pages : 184
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Book Description
The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. An entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.
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: 0192895583
Category : Science
Languages : en
Pages : 337
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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: Jean-Claude Zambrini
Publisher: World Scientific
ISBN: 981256201X
Category : Mathematics
Languages : en
Pages : 720
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Book Description
In 2003 the XIV International Congress on Mathematical Physics (ICMP) was held in Lisbon with more than 500 participants. Twelve plenary talks were given in various fields of Mathematical Physics: E Carlen On the relation between the Master equation and the Boltzmann Equation in Kinetic Theory; A Chenciner Symmetries and "simple" solutions of the classical n-body problem; M J Esteban Relativistic models in atomic and molecular physics; K Fredenhagen Locally covariant quantum field theory; K Gawedzki Simple models of turbulent transport; I Krichever Algebraic versus Liouville integrability of the soliton systems; R V Moody Long-range order and diffraction in mathematical quasicrystals; S Smirnov Critical percolation and conformal invariance; J P Solovej The energy of charged matter; V Schomerus Strings through the microscope; C Villani Entropy production and convergence to equilibrium for the Boltzmann equation; D Voiculescu Aspects of free probability. ICMP 2003 also included invited talks by: H Eliasson, W Schlag, M Shub, P Dorey, J M Maillet, K McLaughlin, A Nakayashiki, A Okounkov, G M Graf, R Seiringer, S Teufel, J Imbrie, D Ioffe, H Knoerrer, D Bernard, J Dimock, C J Fewster, T Thiemann, F Benatti, D Evans, Y Kawahigashi, C King, B Julia, N Nekrasov, P Townsend, D Bambusi, M Hairer, V Kaloshin, G Schneider, A Shirikyan, P Bizon, H Bray, H Ringstrom, L Barreira, L Rey-Bellet, C Forster, P Gaspard, F Golse, T Chen, P Exner, T Ichinose, V Kostrykin, E Skibsted, G Stolz, D Yafaev, V A Zagrebnov, R Leandre, T Levy, S Mazzuchi, H Owhadi, M Roeckner and A Sengupta. Key Features Provides a list of the most recent progress in all fields of Mathematical Physics; Written by the best international experts in these fields; Indicates the "hot" directions of research in Mathematical Physics for years to come; Readership: Mathematical physicists, mathematicians and theoretical physicists.
Author: S. Albeverio
Publisher:
ISBN: 9783662207918
Category :
Languages : en
Pages : 244
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Book Description
Author: J. Bertrand
Publisher: Springer Science & Business Media
ISBN: 9401585431
Category : Science
Languages : en
Pages : 329
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Book Description
This book contains the proceedings of a meeting that brought together friends and colleagues of Guy Rideau at the Université Denis Diderot (Paris, France) in January 1995. It contains original results as well as review papers covering important domains of mathematical physics, such as modern statistical mechanics, field theory, and quantum groups. The emphasis is on geometrical approaches. Several papers are devoted to the study of symmetry groups, including applications to nonlinear differential equations, and deformation of structures, in particular deformation-quantization and quantum groups. The richness of the field of mathematical physics is demonstrated with topics ranging from pure mathematics to up-to-date applications such as imaging and neuronal models. Audience: Researchers in mathematical physics.
