Markov Processes and Quantum Theory

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.

List of contents

Chapter 1: Mechanics of Random Motion.- Chapter 2: Applications.- Chapter 3: Momentum, Kinetic Energy, Locality.- Chapter 4: Markov Processes.- Chapter 5: Applications of Relative Entropy.- Chapter 6: Extinction and Creation.

Report

"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)

Product details

• Authors: Masao Nagasawa
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2022
• EAN: 9783030626907
• ISBN: 978-3-0-3062690-7
• No. of pages: 339
• Dimensions: 155 mm x 19 mm x 235 mm
• Illustrations: XII, 339 p. 19 illus.
• Series: Monographs in Mathematics
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics