Stochastic Methods and Computer Techniques in Quantum Dynamics

Front Matter....Pages I-VI
Preface....Pages 1-1
Stochastic Processes - Quantum Physics....Pages 3-51
Quantum Stochastic Integrals....Pages 53-74
Stochastic Differential Equations....Pages 75-100
Feynman Path Integrals....Pages 101-170
The Knife Edge Problem....Pages 171-184
Trapping for Newtonian Diffusion Processes....Pages 185-209
Markov Cosurfaces and Gauge Fields....Pages 211-231
Non-Standard Analysis; Polymer Models, Quantum Fields....Pages 233-254
Statistical Mechanics of Random Surfaces....Pages 255-257
Stochastic Quantization and Gauge Fixing in Gauge Theories....Pages 259-308
Numerical Calculations in Quantum Field Theories....Pages 309-347
The Heat Kernel on Riemannian Manifolds and Lie Groups....Pages 349-359
Confinement in Continuum QCD....Pages 361-364
Fermion Boundary Condition and θ Angle....Pages 365-370
Semiclassical and High-Temperature Expansions for Systems with Magnetic Field....Pages 371-380
The Ground State Energy of an Interacting Bose Gas....Pages 381-387
Functional Approach to a Superconductivity-Type Quark-Model With Broken SU(4)-Symmetry....Pages 389-392
Solitons in Solid State Physics....Pages 393-399
Normalization of Currents in Lattice QCD....Pages 401-408
Stochastic Quantization and Supersymmetry....Pages 409-413
Quantum Field Theory in Gravitational Background....Pages 415-421
The Josephson Potential as a Statistical Phenomenon....Pages 423-426
Generating Functional and Quantum Stability in Field Theory Models with Solitons....Pages 427-433
Stochastic Quantization of the Linearized Gravitational Field....Pages 435-439
Rotation-Invariant Regularization of Quantum Chromodynamics in Strong Coupling....Pages 441-446
Monte Carlo Simulation of the Process e + e − →τ + τ − (γ) + ....Pages 447-452
Back Matter....Pages 453-453