书目名称 | Stochastic Mechanics |
副标题 | The Unification of Q |
编辑 | Folkert Kuipers |
视频video | |
概述 | Gives a new perspective on many open problems in quantum foundations.Presents a unique outlook on stochastic geometry and quantum gravity.Provides a review of modern stochastic mechanics |
丛书名称 | SpringerBriefs in Physics |
图书封面 |  |
描述 | Stochastic mechanics is a theory that holds great promise in resolving the mathematical and interpretational issues encountered in the canonical and path integral formulations of quantum theories. It provides an equivalent formulation of quantum theories, but substantiates it with a mathematically rigorous stochastic interpretation by means of a stochastic quantization prescription..The book builds on recent developments in this theory, and shows that quantum mechanics can be unified with the theory of Brownian motion in a single mathematical framework. Moreover, it discusses the extension of the theory to curved spacetime using second order geometry, and the induced Itô deformations of the spacetime symmetries..The book is self-contained and provides an extensive review of stochastic mechanics of the single spinless particle. The book builds up the theory on a step by step basis. It starts, in chapter 2, with a review of the classical particle subjected to scalar and vector potentials. In chapter 3, the theory is extended to the study of a Brownian motion in any potential, by the introduction of a Gaussian noise. In chapter 4, the Gaussian noise is complexified. The result is a co |
出版日期 | Book 2023 |
关键词 | Quantum Mechanics; Quantum Foundations; Quantum Axioms; Unitary Diffusion; Quantum Foam; Spacetime Symmet |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-31448-3 |
isbn_softcover | 978-3-031-31447-6 |
isbn_ebook | 978-3-031-31448-3Series ISSN 2191-5423 Series E-ISSN 2191-5431 |
issn_series | 2191-5423 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |