The Faraday law of induction for an arbitrarily moving charge

Mekhitarian, V. M.

doi:10.3103/s1068337216020031

Cited by 6 publications

(3 citation statements)

References 14 publications

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“…where the velocity-dependent components of the force are present. In particular, the velocity-dependent force is present in the Faraday law of electromagnetic induction [34], which is absent in the traditional expression for the Lorentz force.…”

Section: ∂I ∂Rmentioning

confidence: 99%

Equations of Relativistic and Quantum Mechanics (without Spin)

Mekhitarian¹

2020

Quantum Mechanics

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A relativistically invariant representation of the generalized momentum of a particle in an external field is proposed. In this representation, the dependence of the potentials of the interaction of the particle with the field on the particle velocity is taken into account. The exact correspondence of the expressions of energy and potential energy for the classical Hamiltonian is established, which makes identical the solutions to the problems of mechanics with relativistic and nonrelativistic approaches. The invariance of the proposed representation of the generalized momentum makes it possible to equivalently describe a physical system in geometrically conjugate spaces of kinematic and dynamic variables. Relativistic invariant equations are proposed for the action function and the wave function based on the invariance of the representation of the generalized momentum. The equations have solutions for any values of the constant interaction of the particle with the field, for example, in the problem of a hydrogen-like atom, when the atomic number of the nucleus is Z > 137. Based on the parametric representation of the action, the expression for the canonical Lagrangian, the equations of motion, and the expression for the force acting on the charge are derived when moving in an external electromagnetic field. The Dirac equation with the correct inclusion of the interaction for a particle in an external field is presented. In this form, the solutions of the equations are not limited by the value of the interaction constant. The solutions of the problem of charge motion in a constant electric field, the problems for a particle in a potential well and the passage of a particle through a potential barrier, the problems of motion in an exponential field (Morse), and also the problems of a hydrogen atom are given.

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Section: ∂I ∂Rmentioning

confidence: 99%

Equations of Relativistic and Quantum Mechanics (without Spin)

Mekhitarian¹

2020

Quantum Mechanics

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“…A time-varying magnetic field in the solenoid generates, induces an electric field E, which is described by Maxwell's equations. Such a field is described in cylindrical coordinates and is represented by the vector potential A ¼ Ar , t ðÞ in the form [5].…”

Section: Orbital and Vortex Motions Of The Continuous Mediamentioning

confidence: 99%

Spinor Fields

Mekhitarian¹

2023

Recent Topics and Innovations in Quantum Field Theory

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A spinor representation of the generalized energy-momentum density 4-vector is proposed, and examples of such representations for various particles and fields are given. This representation corresponds to the classical representation of the particle’s own rotation, which is described by the diagonal matrix of the moment of inertia. The concept of self-angular rotation of a particle is defined as a spatial characteristic of the field, at each point of which there is a local vortex rotation with an angular velocity Ω – a spinor field. The matrix representation of the vortex rotation Ω (spinor) and the values of the components of such a representation are derived from the matrix representation of the Lorentz transformation. The traditional concept of spin-orbit interaction, as the interaction of the magnetic moment of a particle with the magnetic field of orbital motion, is presented as the interaction of a charged particle with a spinor field. Solutions to the problems of particle motion in an external spinor field in the case of a hydrogen-like atom and planetary motion, splitting of the electron energy levels of an atom in an external magnetic field, deflection of a photon by the gravitational field, and representations in metric spaces are presented.

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“…The high linear energy output [5] coupled with a small process time results in a significant reduction in grain coarsening, low smoke emissions and low radiant heat. Therefore, inductive brazing is much appreciated and sought after in the industry [1,6,7].…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Influence of process parameters on the formation and quality of joining zones during induction brazing

Zahid

2020

Eng. Res. Express

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Contact materials for electrical switch gears are widely used for connecting and disconnecting electric circuits. These contacts are two component systems, where the contact tips are brazed to the carriers prior to installation. The contacts used in the present work is a 3 layered sandwich structure consisting of a silver-tin oxide (Ag-SnO 2 ) layer, a silver (Ag) inter-layer and a thin layer of the braze. The carrier itself is copper (Cu) -plated steel. The brazing process is accomplished by a high frequency inductive heating process. By varying the brazing parameters, namely, temperature and time, their influence on joint formation is investigated. The brazing joint of the contact tips were characterized by microscopy (light and electron microscopy) and physical analytical techniques (energy dispersive X-ray analysis. The mechanical characteristics were determined with Vickers micro-hardness. Investigations indicated that, comparatively, the variations in temperature had a greater influence on joint zone formation and their mechanical properties. It was further demonstrated that the extended hold times lead to a higher degree of joint zone filling due to a large reduction in pore volume fraction.

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The Faraday law of induction for an arbitrarily moving charge

Cited by 6 publications

References 14 publications

Equations of Relativistic and Quantum Mechanics (without Spin)

Equations of Relativistic and Quantum Mechanics (without Spin)

Spinor Fields

Influence of process parameters on the formation and quality of joining zones during induction brazing

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