Manuscript Information Authors

[1]	F. F. Mende, B. Verkin Institute for Low Temperature Physics and Engineering NAS Ukraine, Kharkov, Ukraine.

Abstract

The methods of the solution of the problems of mechanics is Lagrange formalism. By function of Lagrange or Lagrangian in the mechanics is understood the difference between the kinetic and potential energy of the system of in question if we integrate Lagrangian with respect to the time, then we will obtain the Gamilton first main function, called action. In the general case kinetic energy of system depends on speed, and potential energy depends on coordinates. With the condition of the conservatism of this system Lagrange formalism assumes least-action principle, when system during its motion selects the way, with which the action is minimum. However, the record of Lagrangian, accepted in the electrodynamics does not entirely satisfy the condition of the conservatism of system. The vector potential, in which moves the charge, create the strange moving charges, and the moving charge interacts not with the field of vector potential, but with the moving charges, influencing their motion. But this circumstance does not consider the existing model, since. vector potential comes out as the independent substance, with which interacts the moving charge. Moreover, into the generalized momentum of the moving charge is introduced the scalar product of its speed and vector potential, in which the charge moves. But this term presents not kinetic, but potential energy, which contradicts the determination of pulse in the mechanics. With these circumstances are connected those errors, which occur in the works on electrodynamics. In the work it is shown that use of a concept of scalar- vector potential for enumerating the Lagrangian of the moving charge gives the possibility to exclude the errors, existing in the contemporary electrodynamics.

Keywords

Lagrange Function, Scalar Potential, Hamilton Function, Generalized Momentum, Scalar-Vector Potential

Reference

[01]	R. Feynman, R. Leighton, M. Sends. Feynman lectures on physics, – М.. Mir, Vol. 6, 1977.
[02]	V. G. Levich. Course of Theoretical Physics. M: Fizmatgiz 1962.
[03]	L. D. Landau, E. M. Lifshitz. Theory field. M.: Nauka, 1988.
[04]	F. F. Mende, On refinement of equations of electromagnetic induction, – Kharkov, deposited in VINITI, No 774 – B88 Dep., 1988.
[05]	F. F. Mende, Are there errors in modern physics. Kharkov, Constant, 2003.
[06]	F. F. Mende, On refinement of certain laws of classical electrodynamics, arXiv, physics/0402084.
[07]	F. F. Mende, Conception of the scalar-vector potential in contemporary electrodynamics, arXiv, physics/0506083.
[08]	F. F. Mende, Concept of Scalar-Vector Potential in the Contemporary Electrodynamic, Problem of Homopolar Induction and Its Solution, International Journal of Physics, 2014, Vol. 2, No. 6, 202-210
[09]	F. F. Mende, Consideration and the Refinement of Some Laws and Concepts of Classical Electrodynamics and New Ideas in Modern Electrodynamics, International Journal of Physics, 2014, Vol. 2, No. 8, 231-263.
[10]	F. F. Mende. What is Not Taken into Account and they Did Not Notice Ampere, Faraday, Maxwell, Heaviside and Hertz. AASCIT Journal of Physics. Vol. 1, No. 1, 2015, pp. 28-52.
[11]	F. F. Mende. Dynamic Scalar Potential and the Electrokinetic Electric Field. AASCIT Journal of Physics. Vol. 1, No. 1, 2015, pp. 53-57.