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Markov Processes and Quantum Theory

Birkhäuser

Authors:

  • Presents a definition of quantum theory
  • Includes relevant applications
  • Suggests techniques for handling stochastic processes

Part of the book series: Monographs in Mathematics (MMA, volume 109)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xii
  2. Mechanics of Random Motion

    • Masao Nagasawa
    Pages 1-89
  3. Applications

    • Masao Nagasawa
    Pages 91-148
  4. Momentum, Kinetic Energy, Locality

    • Masao Nagasawa
    Pages 149-192
  5. Markov Processes

    • Masao Nagasawa
    Pages 193-251
  6. Applications of Relative Entropy

    • Masao Nagasawa
    Pages 253-286
  7. Extinction and Creation

    • Masao Nagasawa
    Pages 287-320
  8. Back Matter

    Pages 321-339

About this book

This book discusses quantum theory as the theory of random (Brownian) motion of small particles (electrons etc.) under external forces. Implying that the Schrödinger equation is a complex-valued evolution equation and the Schrödinger function is a complex-valued evolution function, important applications are given.

Readers will learn about new mathematical methods (theory of stochastic processes) in solving problems of quantum phenomena. Readers will also learn how to handle stochastic processes in analyzing physical phenomena.

Reviews

“The book is written with detailed calculations and lots of examples. It is definitely thought provoking and may be of interest to specialists in quantum theory, especially in its foundations.” (Vassili N. Kolokol'tsov, Mathematical Reviews, March, 2023)

Authors and Affiliations

  • Kawasaki, Japan

    Masao Nagasawa

Bibliographic Information

Buy it now

Buying options

eBook USD 119.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access