ABSTRACT

Articles are presented, covering a wide range of topics in the mathematical methods of quantum physics. These include infinite dimensional analysis based on white noise, operator algebra methods, Feynman path integrals, quantum mechanics on non-simply connected spaces, recent results in supersymmetric theories, stochastic and quantum dynamics, Yang-Baxter systems, statistical physics, thermo field dynamics, and quantum field theory.
The essays are based on lectures contributed for the Second Jagna International Workshop held in honour of Prof. Hiroshi Ezawa, a distinguished physicist, educator, and former president of the Physical Society of Japan.

part |26 pages

Stochastic Processes

chapter |6 pages

White Noise Analysis and Quantum Dynamics

Dedicated to Professor Hiroshi Ezawa

chapter |8 pages

On a Kubo Noise Associated with a Multidimen-Sional Stationary Curve in a Hilbert Space

Dedicated to Professor Hiroshi Ezawa on his 65th birthday

part |87 pages

Quantum Field Theory and Statistical Mechanics

part |84 pages

Functional Integrals and Their Applications

chapter |13 pages

Physics on and Near Caustics

— A Simpler Version —

part |72 pages

Gauge Field Theory and Supersymmetry