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pro vyhledávání: '"Petrová, L."'
Autor:
Petrova, L. I.
It is shown with the help of skew-symmetric forms that the mathematical physics equations, on which no additional conditions are imposed, have quantum properties. And this is due to the integrability properties of differential equations, which depend
Externí odkaz:
http://arxiv.org/abs/2403.19674
Autor:
Petrova, L. I.
It is shown that there is a correspondence between field theory equations such as the Dirac, Shr\H{o}dinger, Maxwell, Einstein equations and closed exterior forms of a certain degree. In this case, the Dirac and Shr\H{o}dinger equations for the wave
Externí odkaz:
http://arxiv.org/abs/2308.16026
Autor:
Petrova, L. I.
It is shown that mathematical physics differential equations have properties that allow describing processes such as the structures emergence, discrete transitions, quantum jumps. The peculiarity is that such properties are hidden. They do not follow
Externí odkaz:
http://arxiv.org/abs/2204.04062
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Autor:
Petrova, L. I.
Skew-symmetric forms possess unique capabilities. The properties of closed exterior and dual forms, namely, invariance, covariance, conjugacy and duality, either explicitly or implicitly appear in all invariant mathematical formalisms. This enables o
Externí odkaz:
http://arxiv.org/abs/1007.4757
Autor:
Petrova, L. I.
Physical meaning and a duality of concepts of wave function, action functional, entropy, the Pointing vector, the Einstein tensor and so on can be disclosed by investigating the state of material systems such as thermodynamic and gas dynamic systems,
Externí odkaz:
http://arxiv.org/abs/1001.1710
Autor:
Petrova, L. I.
From the equations of conservation laws for energy, linear momentum, angular momentum and mass the evolutionary relation in differential forms follows. This relation connects the differential of entropy and the skew-symmetric form, whose coefficients
Externí odkaz:
http://arxiv.org/abs/0911.1604
Autor:
Petrova, L. I.
The study of integrability of the mathematical physics equations showed that the differential equations describing real processes are not integrable without additional conditions. This follows from the functional relation that is derived from these e
Externí odkaz:
http://arxiv.org/abs/0910.5849
Autor:
Petrova, L. I.
Skew-symmetric differential forms play an unique role in mathematics and mathematical physics. This relates to the fact that closed exterior skew-symmetric differential forms are invariants. The concept of "Exterior differential forms" was introduced
Externí odkaz:
http://arxiv.org/abs/0901.1741
Autor:
Petrova, L. I.
Historically it happen so that in branches of physics connected with field theory and of physics of material systems (continuous media) the concept of "conservation laws" has a different meaning. In field theory "conservation laws" are those that cla
Externí odkaz:
http://arxiv.org/abs/0812.0514