Markov Processes and Quantum Theory

Masao Nagasawa (Autor)

Buch | Softcover

XII, 339 Seiten

2022
Springer International Publishing (Verlag)
978-3-030-62690-7 (ISBN)

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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.

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.

"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)

“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)

Erscheinungsdatum	26.06.2022
Reihe/Serie	Monographs in Mathematics
Zusatzinfo	XII, 339 p. 19 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	539 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Themenwelt	Naturwissenschaften ► Physik / Astronomie
Schlagworte	Bohm-Aharanov effect • Branching Processes • creation and killing of particles • double slits problem • Einstein's locality • entangled random motion • entrance and exit functions • relative entropy • spin-correlations • super conductivity • the light cone and random motion • time reversal and duality
ISBN-10	3-030-62690-3 / 3030626903
ISBN-13	978-3-030-62690-7 / 9783030626907
Zustand	Neuware