Stochastic Analysis and Mathematical Physics

[see attached for complete text] 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. 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, M. Corgini, A. B. Cruzeiro, F. Fagnola, C. Fern'andez, J.Garcia, A. Guichardet, E.B.

Contenu

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.