Stochastic Methods in Quantum Mechanics (Dover Books on Physics) by Stanley P. Gudder (PDF)

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I checked it out from the library and can recommend it as a bridge from standard QM to probability perspectives. The first chapter is great as it does a smart job of detailing the math history behind QM. This is important because most qm students don’t know who to believe or why.One thing missing is the density matrix concept and it could use some real QM examples (but this applies to all qm books)I’ll be getting a used copy for my library at home.

⭐本のタイトルから、物理的な内容（正確には、典型的な数学の本に見られる定理とその証明のような構成でない）を期待して購入しましたが、見事にその期待は裏切られました。Theorem,Lemmaや定義などのオンパレード（私にはそのように見えた）です。数学を専攻している人からすると大雑把と思えるような証明でいいから、もっと物理（の実験）をしている人でも読めるような本だとよかった。というわけで、この本を利用したい人を選ぶので、星３つになりました。

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