Stochastic Processes in Quantum Physics: 94 (Monographs in Mathematics, 94) - Hardcover

Nagasawa, Masao

Hardcover

ISBN 10: 3764362081 ISBN 13: 9783764362089

Publisher: Birkhäuser, 2000

Synopsis

"Stochastic Processes in Quantum Physics" addresses the question 'What is the mathematics needed for describing the movement of quantum particles', and shows that it is the theory of stochastic (in particular Markov) processes and that a relativistic quantum particle has pure-jump sample paths while sample paths of a non-relativistic quantum particle are continuous. Together with known techniques, some new stochastic methods are applied in solving the equation of motion and the equation of dynamics of relativistic quantum particles. The problem of the origin of universes is discussed as an application of the theory. The text is almost self-contained and requires only an elementary knowledge of probability theory at the graduate level, and some selected chapters can be used as (sub-)textbooks for advanced courses on stochastic processes, quantum theory and theoretical chemistry.

About this title

Synopsis

This text aims to demonstrate that stochastic (in particular Markov) processes need to be applied when solving the equation of motion and the equation of relativisitic quantum particles. The problem of the origin of the universe is also discussed as an application of the theory.

Edition details

• Publisher: Birkhäuser
• Publication date: 2000
• ISBN 10: 3764362081
• ISBN 13: 9783764362089
• Binding: Hardcover
• Language: English
• Number of pages: 605