Description
DOVER PUBLICATIONS Stochastic Methods In Quantum Mechanics 2005 Edition by STANLEY P. 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 functional analysis; although some experience with probability theory and quantum mechanics is helpful, necessary ideas and results from these two disciplines are developed as needed. A selection of exercises follows each chapter, and proofs to most of the theorems are included. A comprehensive bibliography allows researchers and students to continue in the direction of their individual interests. Preface1. The History of Quantum Mechanics2. A Different Kind of Probability3. The Quantum Logic Approach4. The Operational Approach5. Mathematical Interlude6. Random Fields7. Quantum Field TheoryBibliographyIndex