期刊文献+
共找到2篇文章
< 1 >
每页显示 20 50 100
Non-Perturbative Guiding Center and Stochastic Gyrocenter Transformations:Gyro-Phase Is the Kaluza-Klein 5^(th) Dimension also for Reconciling General Relativity with Quantum Mechanics
1
作者 Claudio Di Troia 《Journal of Modern Physics》 2018年第4期701-752,共52页
The non perturbative guiding center transformation is extended to the relativistic regime and takes into account electromagnetic fluctuations. The main solutions are obtained in covariant form: the gyrating particle a... The non perturbative guiding center transformation is extended to the relativistic regime and takes into account electromagnetic fluctuations. The main solutions are obtained in covariant form: the gyrating particle and the guiding particle solutions, both in gyro-kinetic as in MHD orderings. Moreover, the presence of a gravitational field is also considered. The way to introduce the gravitational field is original and based on the Einstein conjecture on the feasibility to extend the general relativity theory to include electromagnetism by geometry, if applied to the extended phase space. In gyro-kinetic theory, some interesting novelties appear in a natural way, such as the exactness of the conservation of a magnetic moment, or the fact that the gyro-phase is treated as the non observable fifth dimension of the Kaluza-Klein model. Electrodynamics becomes non local, without the inconsistency of self-energy. Finally, the gyrocenter transformation is considered in the presence of stochastic e.m. fluctuations for explaining quantum behaviors via Nelson’s approach. The gyrocenter law of motion is the Schr&ouml;dinger equation. 展开更多
关键词 Guiding Center Transformation Gyrocenter Transformation KALUZA-KLEIN General Relativity Higher Dimensions stochastic Quantum mechanics Schrodinger Equation Lorentz’s Force Law
下载PDF
On the Dynamics of Controlled Diffusions
2
作者 杨明炎 梅凤翔 《Journal of Beijing Institute of Technology》 EI CAS 1997年第1期30-36,共7页
Treats of dynamical systems with finite number of degrees of freedom such that the time evolution of the configuration variables for given initial conditions can well be described by controlled diffusions.Two suitable... Treats of dynamical systems with finite number of degrees of freedom such that the time evolution of the configuration variables for given initial conditions can well be described by controlled diffusions.Two suitable forms of stochastic action associated with the controlled diffusions are introduced in the general framework of stochastic control theory.By discretizing the stochastic action,the dynamical equations for the controlled diffusions of the given systems are derived in terms of generalized coordinates.These equations,together with the continuity equation,describe exactly the probability approach of the diffusion motion. 展开更多
关键词 DIFFUSION stochastic mechanics action VARIATION
下载PDF
上一页 1 下一页 到第
使用帮助 返回顶部