Titlebook: Dynamical Systems and Microphysics; A. Blaquiére,F. Fer,A. Marzollo Book 1980 Springer-Verlag Wien 1980 Systems.dynamical system.dynamical

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Coterminous

最有利

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.

芭蕾舞女演員

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.

噴出

Obsequious

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 × ? of M by the time axis ?. Then time reversibility can be expressed as follows.

面包屑

Projection

斑駁

Kinematics and Dynamics of It? 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

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.