Stochastic Methods and Computer Techniques in Quantum Dynamics

Preface.- Stochastic Processes - Quantum Physics.- Quantum Stochastic Integrals.- Stochastic Differential Equations.- Feynman Path Integrals. From the Prodistribution Definition to the Calculation of Glory Scattering.- The Knife Edge Problem.- Trapping for Newtonian Diffusion Processes.- Markov Cosurfaces and Gauge Fields.- Non-Standard Analysis; Polymer Models, Quantum Fields.- Statistical Mechanics of Random Surfaces.- Stochastic Quantization and Gauge Fixing in Gauge Theories.- Numerical Calculations in Quantum Field Theories.- The Heat Kernel on Riemannian Manifolds and Lie Groups.- Confinement in Continuum QCD.- Fermion Boundary Condition and ? Angle.- Semiclassical and High-Temperature Expansions for Systems with Magnetic Field.- The Ground State Energy of an Interacting Bose Gas.- Functional Approach to a Superconductivity-Type Quark-Model with Broken SU(4)-Symmetry.- Solitons in Solid State Physics.- Normalization of Currents in Lattice QCD.- Stochastic Quantization and Supersymmetry.- Quantum Field Theory in Gravitational Background.- The Josephson Potential as a Statistical Phenomenon.- Generating Functional and Quantum Stability in Field Theory Models with Solitons.- Stochastic Quantization of the Linearized Gravitational Field.- Rotation-Invariant Regularization of Quantum Chromodynamics in Strong Coupling.- Monte Carlo Simulation of the Process e+e???+??(?).