书目名称 | Stochastic Processes in Quantum Physics | 编辑 | Masao Nagasawa | 视频video | | 丛书名称 | Monographs in Mathematics | 图书封面 |  | 描述 | "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. | 出版日期 | Book 2000 | 关键词 | Brownian motion; EFE; Lévy process; Markov property; Poisson process; Random Walk; Stochastic processes; di | 版次 | 1 | doi | https://doi.org/10.1007/978-3-0348-8383-2 | isbn_softcover | 978-3-0348-9543-9 | isbn_ebook | 978-3-0348-8383-2Series ISSN 1017-0480 Series E-ISSN 2296-4886 | issn_series | 1017-0480 | copyright | Springer Basel AG 2000 |
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