Stochastic Approach to Quantum Mechanics and to Quantum Field Theory

Khavtgain Namsrai

Mikio Namiki

Stanley Gudder

Practical developments in such fields as optical coherence, communication engineering, and laser technology have developed from the applications of stochastic methods. This introductory survey offers a broad view of some of the most useful stochastic methods and techniques in quantum physics, functional analysis, probability theory, communications, and electrical engineering. Starting with a history of quantum mechanics, it examines both the quantum logic approach and the operational approach, with explorations of random fields and quantum field theory.The text assumes a basic knowledge of fun

Mikio Namiki, Satoshi Tanaka

EDWARD B. NELSON

After a brief review of stochastic mechanics of nonrelativistic particle systems, the paper discusses in a qualitative way issues concerning the application of stochastic mechanics to relativistic fields and their relation to quantum field theory. It is suggested that gauge theories will be essential to this program.

Walter Lehr