Stochastic Processes in Quantum Theory and Statistical Physics

Inhaltsverzeichnis

• Quantum theory and non-kolmogorovian probability.
• Stochastic jump processes in the phase space representation of quantum mechanics.
• Transformation of wiener integrals and the desingularization of Coulomb problem.
• Dynamical systems with few degrees of freedom.
• Laplace expansions of conditional wiener integrals and applications to quantum physics.
• Stochastic processes and fermi fields.
• Periodic orbits of dynamical systems with chaotic behavior.
• The Van Hove limit in classical and quantum mechanics.
• Large deviation asymptotics and the polaron.
• All that Brownian motion.
• The diffusion equation and classical mechanics: An elementary formula.
• Stochasticity in non-equilibrium statistical mechanics.
• A stochastic picture of spin.
• On the statistical mechanics of surfaces.
• A note on irreducibility and ergodicity of symmetric markov processes.
• Momentum-position complementarity in stochastic mechanics.
• Non-commutative martingales and stochastic integrals in fock space.
• Some results on the spectra of random schrödinger operators and their application to random point interaction models in one and three dimensions.
• Wiener measures for quantum mechanical path integrals.
• Existence of a first-order phase transition for the Potts model.
• Lagrangians with anticommuting arguments for dirac fields.
• High-temperature path method for a two-dimensional random ising model.
• Stochastic processes in music and art.
• Hopping transport in disordered one-dimensional lattice systems: Random walk in a random medium.
• Large scale behavior of equilibrium time correlation functions for some stochastic ising models.
• Quantum dissipation and stochastic processes.