解冻 发表于 2025-3-23 13:34:53
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http://reply.papertrans.cn/29/2839/283880/283880_12.png最有利 发表于 2025-3-23 18:22:23
Stochastic Quantisation in a Riemannian Manifoldmethods. In the first we compare the kernel of the Feynman path integral with that of the Markovian semi-group transformations and in the second we randomise the metric itself keeping terms up to second order in Wiener differentials.芭蕾舞女演员 发表于 2025-3-24 00:25:51
The Kepler Problem In Stochastic Electrodynamicshere is some evidence that the same S0(4) symmetry which simplifies the treatments of both the classical and quantum-mechanical systems also reduces the complexity of the problem in stochastic electrodynamics.喷出 发表于 2025-3-24 05:52:34
http://reply.papertrans.cn/29/2839/283880/283880_15.pngObsequious 发表于 2025-3-24 09:39:49
Reversibility Versus Irreversibility in the Physical Universeducing new variables (in general put equal to first order derivatives), the p-variables,one gets a new differential system of first order: a flow defined in a manifold M (phase space) by a vector field X. We may define the same flow in the product M × ℝ of M by the time axis ℝ. Then time reversibility can be expressed as follows.面包屑 发表于 2025-3-24 11:30:34
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Kinematics and Dynamics of Itô Processes “position variable” q(t) ∈ R. must be interpreted as a continuous Markov process described by the stochastic differential equation . with initial condition q(0)=q., h being the Planck’s constant, m the mass of the particle and w(t) the standard Brownian motion.Mindfulness 发表于 2025-3-25 00:57:23
Stochastic Electrodynamics General Considerationsvantage over many other attempts on that way to be physically well defined and to lead to equations which are not impossible to solve, so that it is possible to check the theory against experiment or other theories, as quantum mechanics.