dorsal/arxiv
View SchemaUniform formalism for description of dynamic quantum and stochastic systems
| Authors | Yuri A. Rylov |
|---|---|
| Categories | |
| ArXiv ID | physics/0603237 |
| URL | https://arxiv.org/abs/physics/0603237 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
The formalism of the particle dynamics in the space-time, where motion of free particles is primordially stochastic, is considered. The conventional dynamic formalism, obtained for the space-time, where the motion of free particles is primordially deterministic, seems to be unsuitable. The statistical ensemble of stochastic (or deterministic) systems is considered to be the main object of dynamics. At such a logical reloading the statistical description becomes a component of dynamics, and capacities of dynamics increase. At such an approach one can describe deterministic, stochastic and quantum particles by means of the uniform technique. The quantum particle is described as a stochastic particle, i.e. without a reference to the quantum principles. Besides, by means of this technique one can describe classical inviscid fluid. There are four different versions of the formalism: (1) description in Euler dynamic variables, (2) description in Lagrange dynamic variables, (3) description in terms of the generalized stream function, (4) description in terms of the wave function. The uniform formalism is purely dynamic. Even describing stochastic systems, it does not refer to probability and probabilistic structures. In relativistic case the uniform formalism can describe pair production and pair annihilation.
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"date_created": "2026-03-02T18:01:07.476000Z",
"date_modified": "2026-03-02T18:01:07.476000Z",
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"abstract": "The formalism of the particle dynamics in the space-time, where motion of\nfree particles is primordially stochastic, is considered. The conventional\ndynamic formalism, obtained for the space-time, where the motion of free\nparticles is primordially deterministic, seems to be unsuitable. The\nstatistical ensemble of stochastic (or deterministic) systems is considered to\nbe the main object of dynamics. At such a logical reloading the statistical\ndescription becomes a component of dynamics, and capacities of dynamics\nincrease. At such an approach one can describe deterministic, stochastic and\nquantum particles by means of the uniform technique. The quantum particle is\ndescribed as a stochastic particle, i.e. without a reference to the quantum\nprinciples. Besides, by means of this technique one can describe classical\ninviscid fluid. There are four different versions of the formalism: (1)\ndescription in Euler dynamic variables, (2) description in Lagrange dynamic\nvariables, (3) description in terms of the generalized stream function, (4)\ndescription in terms of the wave function. The uniform formalism is purely\ndynamic. Even describing stochastic systems, it does not refer to probability\nand probabilistic structures. In relativistic case the uniform formalism can\ndescribe pair production and pair annihilation.",
"arxiv_id": "physics/0603237",
"authors": [
"Yuri A. Rylov"
],
"categories": [
"physics.gen-ph"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Uniform formalism for description of dynamic quantum and stochastic systems",
"url": "https://arxiv.org/abs/physics/0603237"
},
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