Stochastic Processes in Quantum Physics
By: by Masao Nagasawa
Series: Monographs in Mathematics -- 94; Monographs in mathematics -- 94.
Publisher: Birkhäuser Basel; Imprint: Birkhäuser
Published: 2000
Place of publication: Basel
Language: eng
Format: [electronic resource] /
Number of pages: 598
ISBN-13: 9783034895439; 9783034883832
Subjects: Quantum theory; Distribution (Probability theory); Physics
Description: "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.
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