On the uniform motion of a relativistic charged particle in a homogeneous electromagnetic field in Minkowski space

Körpınar, Talat; Demi̇rkol, Rıdvan Cem

doi:10.1002/mma.5567

Cited by 11 publications

(4 citation statements)

References 24 publications

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“…We have introduced here a new equation (Definition 3) which defines uniform quasi acceleration in a Heisenberg spacetime. This improves the results of previous works, 33–39 which handle only optical motion. In Section 3, we have the UQCM of moving charged velocity magnetic biharmonic particle in Heisenberg space background.…”

Section: Discussionsupporting

confidence: 80%

New approach to uniformly quasi circular motion of quasi velocity biharmonic magnetic particles in the Heisenberg space

Körpınar

2021

Math Methods in App Sciences

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In this paper, we define concept of the uniformly quasi circular motion (UQCM) with biharmonicity condition in the Heisenberg space. That is, we aim to define a new class of UQCM in the three‐dimensional Heisenberg space. We further improve an alternative method to find uniformly quasi circular potential electric energy of biharmonic velocity magnetic particles in the Heisenberg space. We also give the relationships between physical and geometrical characterizations of uniformly quasi circular potential electric energy. Finally, we illustrate important figures for uniformly quasi circular potential electric energy with respect to its electric field in the radial direction.

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Section: Discussionsupporting

confidence: 80%

New approach to uniformly quasi circular motion of quasi velocity biharmonic magnetic particles in the Heisenberg space

Körpınar

2021

Math Methods in App Sciences

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“…The uniform motion of the physical system, in particular, a mechanism defined along with the particle in a given appropriate spacetime structure, can be described by minimizing the action functional and can further computation be obtained by the principle of the least action [33][34][35]. The investigation of the uniform motion of the particle is very efficient for the exact comprehension of many physical processes such as vortex filaments, integrable systems, dynamics of Heisenberg chain, soliton equation theory, relativity, sigma models, water wave theory, field theories, fluid dynamics, linear and nonlinear optics, and so on.…”

Section: Discussionmentioning

confidence: 99%

Quasi uniformly accelered motion of quasi normal magnetic biharmonic particles in Heisenberg space with cold plasma

Körpınar¹,

Körpınar²

2022

Rev. Mex. Fís.

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In this paper, we firstly review the quasi uniformly accelerated motion (QUAM) with Fermi derivative by cold plasma in Heisenberg space. We define new quasi uniformly accelerated potential electric energy of quasi normal magnetic biharmonic particles and some Lorentz fields. Moreover, we design the new relationship between the quasi uniformly accelerated motion and the Fermi parallel transportation in cold plasma. Also, we collect new physical geometric designs for a quasi uniformly accelerated motion of normal magnetic biharmonic particles in Heisenberg space. Finally, we construct quasi uniformly accelerated potential electric energy with respect to its electric field and some quasi curvatures.

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“…Also, the extended direct algebraic method is used to find new soliton solutions of the fractional (4.1) equations in de Sitter space. Many partial differential equations are proceeding in mathematical physics and engineering modeling applications [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46].…”

Section: Discussionmentioning

confidence: 99%

Optical electromagnetic radiation density spherical geometric electric and magnetic phase by spherical antiferromagnetic model with fractional system

Khalil

̈orpinar

2021

Rev. Mex. Fís.

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In this article, we firstly consider a new theory of spherical electromagnetic radiation density with antiferromagnetic spin of timelike spherical t -magnetic flows by the spherical Sitter frame in de Sitter space. Thus, we construct the new relationship between the new type electric and magnetic phases and spherical timelike magnetic flows de Sitter space 2.1 S Also, we give the applied geometric characterization for spherical electromagnetic radiation density. This concept also boosts to discover some physical and geometrical characterizations belonging to the particle. Moreover, the solution of the fractional-order systems are considered for the submitted mathematical designs. Graphical demonstrations for fractional solutions are presented to expression of the approach. The collected results illustrate that mechanism is relevant and decisive approach to recover numerical solutions of our new fractional equations. Components of performed equations are demonstrated by using approximately explicit values of physical assertions on received solutions. Finally, we constructthat electromagnetic fluid propagation along fractional optical fiber indicates an fascinating family of fractional evolution equation with diverse physical and applied geometric modelling in de Sitter space 2 1 S .

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On the uniform motion of a relativistic charged particle in a homogeneous electromagnetic field in Minkowski space

Cited by 11 publications

References 24 publications

New approach to uniformly quasi circular motion of quasi velocity biharmonic magnetic particles in the Heisenberg space

New approach to uniformly quasi circular motion of quasi velocity biharmonic magnetic particles in the Heisenberg space

Quasi uniformly accelered motion of quasi normal magnetic biharmonic particles in Heisenberg space with cold plasma

Optical electromagnetic radiation density spherical geometric electric and magnetic phase by spherical antiferromagnetic model with fractional system

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