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Statistical Methods in Quantum Optics 1: Master Equations and Fokker-Planck Equations (Softcover Reprint of the Original 1st 1999)

Statistical Methods in Quantum Optics 1

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"Statistical Methods in Quantum Optics 1" by Howard J. Carmichael is a mathematics book and learning resource focused on Light & Optics. Best for teachers, students, and readers looking for stronger mathematical understanding.

The book provides an introduction to the methods of quantum statistical mechanics used in quantum optics and their application to the quantum theories of the single-mode laser and optical bistability. The generalized representations of Drummond and Gardiner are discussed together with the more standard methods for deriving Fokker--Planck equations. Particular attention is given to the theory of optical bistability formulated in terms of the positive P-representation, and the theory of small bistable systems. This is a textbook at an advanced graduate level. It is intended as a bridge between an introductory discussion of the master equation method and problems of current research.

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Best For: Advanced graduate students studying quantum optics and quantum statistical mechanics
Focus: Methods of quantum statistical mechanics applied to quantum optics, including master equations and Fokker-Planck equations
Covers: Quantum theories of single-mode lasers, optical bistability, generalized representations like the positive P-representation, and small bistable systems
Why It Matters: Provides a detailed theoretical foundation linking introductory master equation methods to current research problems in quantum optics

"Statistical Methods in Quantum Optics 1" by Howard J. Carmichael is a mathematics book and learning resource focused on Light & Optics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Light & Optics

Author: Howard J. Carmichael

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

The book provides an introduction to the methods of quantum statistical mechanics used in quantum optics and their application to the quantum theories of the single-mode laser and optical bistability. The generalized representations of Drummond and Gardiner are discussed together with the more standard methods for deriving Fokker--Planck equations. Particular attention is given to the theory of optical bistability formulated in terms of the positive P-representation, and the theory of small bistable systems. This is a textbook at an advanced graduate level. It is intended as a bridge between an introductory discussion of the master equation method and problems of current research.

AuthorHoward J. Carmichael
PublisherSpringer
Published2010-12-08
ISBN-139783642081330
BindingPaperback
LanguageEnglish
SubjectsScience
TopicLight & Optics
SeriesTheoretical and Mathematical Physics

Format: Paperback

Language: English

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