On Nonstationary Inhomogeneities of the Nonlinear Klein—Gordon Equation

Salimov, R. K.

doi:10.1134/s0021364019070129

Cited by 3 publications

(2 citation statements)

References 18 publications

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“…The Klein-Gordon equations are Lorentz-invariant and their solutions have relativistic effects [7]. Paper [8] studies the nonstationary inhomogeneity of the spatially onedimensional Klein-Gordon equation, which was considered as the soliton model of the system with the undamped motion of the particle. The two-dimensional case should be studied to consider such a system as a model with the undamped spin.…”

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On the Soliton Model of a Point Particle Spin

Salimov,

Ekomasov

2019

Preprint

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A system consisting of a point material particle and a scalar field described by the nonlinear Klein-Gordon equation has been considered. It has been shown that, when taking into account relativistic effects, in the case of small rest masses of a particle an energy minimum at zero velocity is impossible for such a particle. It has been proved that under certain parameters the spin state of a particle has a lower energy than its steady state does. Such a behavior is interesting for the construction of soliton models of spin. By a point particle spin an intrinsic angular momentum (orbital, in strict sense, but with a short orbital radius) of a point particle is meant.

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confidence: 99%

On the Soliton Model of a Point Particle Spin

Salimov,

Ekomasov

2019

Preprint

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“…A point particle in the given model is a source of inhomogeneity for the scalar field. Moreover, as is showed in [9], taking relativistic effects in such a system into account results in the emerging of an undamped motion which can be considered as a model of the intrinsic angular momentum or a particle spin [10].…”

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confidence: 99%

Professor Victor P. Odintsov is the Founder and the First Director of Ufa Eye Research Institute Bashkir State University

Galimova

2019

Oftalʹmologiâ

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A new model of oscillators was suggested, in which an oscillating particle in the minimum energy state has a nonzero velocity. A system consisting of a point material particle and a scalar field described by the nonlinear Klein-Gordon equation has been considered. It has been shown that, when taking into account relativistic effects, in the case of small rest masses of a particle an energy minimum at zero velocity is impossible for such a particle. It is showed that the behavior of a field in such a system is not stationary and is characterized by the presence of waves emitted and absorbed by the system in the minimum energy state. The system properties having being analyzed, a concept of the localized vacuum was suggested; it was showed that the localized vacuum hypothesis is useful in solving the cosmological constant problem.

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Interacting Localized Solutions of the Nonlinear Klein—Gordon Equation with a Variable Mass

Salimov

Екомасов

2020

Jetp Lett.

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On Nonstationary Inhomogeneities of the Nonlinear Klein—Gordon Equation

Cited by 3 publications

References 18 publications

On the Soliton Model of a Point Particle Spin

On the Soliton Model of a Point Particle Spin

Professor Victor P. Odintsov is the Founder and the First Director of Ufa Eye Research Institute Bashkir State University

Interacting Localized Solutions of the Nonlinear Klein—Gordon Equation with a Variable Mass

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