| 书目名称 | Quantum Theory from a Nonlinear Perspective |
| 副标题 | Riccati Equations in |
| 编辑 | Dieter Schuch |
| 视频video | |
| 概述 | A unique survey of the power of Riccati equations to describe reversible and irreversible processes in many areas of physics.Particular attention paid to non-linear versions of the Schrödinger equatio |
| 丛书名称 | Fundamental Theories of Physics |
| 图书封面 |  |
| 描述 | This book provides a unique survey displaying the power of Riccati equations to describe reversible and irreversible processes in physics and, in particular, quantum physics. Quantum mechanics is supposedly linear, invariant under time-reversal, conserving energy and, in contrast to classical theories, essentially based on the use of complex quantities. However, on a macroscopic level, processes apparently obey nonlinear irreversible evolution equations and dissipate energy. The Riccati equation, a nonlinear equation that can be linearized, has the potential to link these two worlds when applied to complex quantities. The nonlinearity can provide information about the phase-amplitude correlations of the complex quantities that cannot be obtained from the linearized form. As revealed in this wide ranging treatment, Riccati equations can also be found in many diverse fields of physics from Bose-Einstein-condensates to cosmology. The book will appeal to graduate students and theoretical physicists interested in a consistent mathematical description of physical laws. |
| 出版日期 | Book 2018 |
| 关键词 | Complex Riccati Equations; Connecting Nonlinear Dynamics and Quantum Mechanics; Dissipation in Classic |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-65594-9 |
| isbn_softcover | 978-3-319-88064-8 |
| isbn_ebook | 978-3-319-65594-9Series ISSN 0168-1222 Series E-ISSN 2365-6425 |
| issn_series | 0168-1222 |
| copyright | Springer International Publishing AG 2018 |
发表于 2025-3-21 17:38:19
