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[PDF] Stochastic Methods in Quantum Mechanics (North Holland series in probability and applied mathematics)

ISBN: 0444002995

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Posted on 2017-10-31, by luongquocchinh.

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Author: Stanley P. Gudder | Publisher: Elsevier Science Ltd | Category: Mathematics | Language: English | Page: 232 | ISBN: 0444002995 | ISBN13: 9780444002990 |

Description: 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.

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