Stochastic Analysis and Mathematical Physics : ANESTOC '98 Proceedings of the Third International Workshop / edited by Rolando Rebolledo.

This work highlights emergent research in the area of quantum probability. Several papers present a qualitative analysis of quantum dynamical semigroups and new results on q-deformed oscillator algebras, while others stress the application of classical stochastic processes in quantum modelling. All...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Rebolledo, Rolando
Format: eBook
Language:English
Published: Boston, MA : Birkhäuser Boston : Imprint : Birkhäuser, 2000.
Series:Trends in mathematics.
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505 0 |a 1. Exponential L2-Convergence of Some Quantum Markov Semigroups Related to Birth-and-Death Processes -- 2. Conservativity of Quantum Dynamical Evolution Systems -- 3. Upper Bounds on Bogolubov's Inner Product: Quantum Systems of Anharmonic Oscillators -- 4. Bernstein Processes Associated with a Markov Process -- 5. A Simple Singular Quantum Markov Semigroup -- 6. On a Theory of Resonance in Quantum Mechanical Scattering -- 7. Representation of the q-Deformed Oscillator -- 8. On the Existence of Exponentials of Quadratic Polynomials of Field Operators on Fock Space -- 9. The Wave Map of Feller Semigroups -- 10. On the Korovkin Property and Feller Semigroups -- 11. An Example of the Singular Coupling Linit. 
520 |a This work highlights emergent research in the area of quantum probability. Several papers present a qualitative analysis of quantum dynamical semigroups and new results on q-deformed oscillator algebras, while others stress the application of classical stochastic processes in quantum modelling. All of the contributions have been thoroughly refereed and are an outgrowth of an international workshop in Stochastic Analysis and Mathematical Physics. The book targets an audience of mathematical physicists as well as specialists in probability theory, stochastic analysis, and operator algebras. Contributors to the volume include: R. Carbone, A.M. Chebotarev, M. Corgini, A.B. Cruzeiro, F. Fagnola, C. Fernndez, J.C. Garca, A. Guichardet, E.B. Nielsen, R. Quezada, O. Rask, R. Rebolledo, K.B. Sinha, J.A. Van Casteren, W. von Waldenfels, L. Wu, J.C. Zambrini. 
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