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- 21.06.2008, 13:44. Стукалов В.И. в теме
... interactions with engaging of an acoustic model of quasielastic physical vacuum stukalov1 a v i shalyapin 2 ba l 1 urals state technical university high mathematics chair mira str 19 ekaterinburg 620002 russia 2 institute of engineering science urals branch russian academy of sciences komsomolskaya str 34 ekaterinburg 620219 russia a stukalovvi mail ru b shalyapinal mail ru keywords electric and magnetic fields magnetic nanostructures and low dimensional magnetism mechanism of magnetic interactions physical vacuum abstract in a magnetostatics and also in an electrodynamics the basic properties of a magnetic field are postulated on the base of experience the additional clearing about a nature of this field cannot be received proceeding from transformations of the lorentz at passage to mobile frames or from positions of the quantum theory the edge between a mathematical formalism and modeling of mechanisms of formation of field of forces is not always carried out this contributes certain uncertainty in the understanding of magnetic interactions between particles in the work the attempt is made to reveal the mechanism of magnetic interactions through reviewing of scattering of acoustic waves of physical vacuum as a quasielastic medium the reality of existence of physical vacuum as material medium is proved in works 1 2 thus in the beginning in an outcome of scattering of casual acoustic waves of physical vacuum by electrons is formed a spherical symmetrical coulomb field representing a stream of spherical longitudinal coulomb waves then at driving of electrons in physical vacuum at the expense of delay of spherical scattered waves and deforming a spherical symmetrical field the magnetic field as a secondary effect from a coulomb field is formed at acceleration of electrons occurs the transversal modulation of longitudinal coulomb waves with forming the transversal electromagnetic waves the magnetic field in the given model is calculated with the help of retarded lienard-wiechert potential under the laws of a classical wave mechanics and acoustics as shown in works 3 4 5 the considered model reduces in numerous interesting outcomes which completely will be agreed experimental dates introduction now it is considered that analytical expression for lorentz force is not deduced from maxwell equations or the special theory of relativity expression for this force is usual receive from lagrange equations for dynamics of a particle in which interaction lagrangian steals up in such kind that it corresponded to experiment therefore it is possible to believe that the finding of this force generally is not very simple having a preliminary set of the equations which have been considered by us it is possible to try to estimate character of interaction between particles moving with optional velocity thus it is possible to act in two ways in the beginning to find a kind of a field of the scattered waves from the first particle in view of its movement and then to find force of influence of these waves on the second particle or on the contrary the question on how the moving particle influences on motionless has been solved at a finding of retarded potential 15 33 1 on a moving particle this retarded potential obviously will influence a little differently as it is required to define thus the picture of the scattered waves of physical vacuum which was spherically symmetric in a static is deformed twice in the beginning due to movement of the first particle into physical vacuum and then due to movement of the second particle generally electromagnetic interaction between moving particles is very complex for an estimation of character of this force we shall consider the elementary case namely an example from magnetostatics i e interaction of one moving arbitrarily electron with an electric current or a cloud slowly moving electrons for simplification of calculations we shall consider that velocity of particles is small and therefore consequently some effects of delay of fields can be neglected interaction between moving particles conclusion of the basic equations the force acting on separate motionless electron from moving particles is defined by electric field intensity e according to the equation 2 where scalar potential and vector potential a are created electrons moving in a conductor now it is necessary to establish as intensity e will change in the event that separate electron will move with optional velocity v2 we shall begin with the second term namely we shall write a full derivative on time from vector a with regard to movement of electron 3 if in that area where electron is moving there are no extraneous charges and currents i e 0 and j 0 then from lorentz gauge 4 which has been deduced by us from the equation of a continuity 5 we receive 6 as a result for moving electron from 3 it is had 7 thus movement of electron with a velocity v2 will not lead to change of the second term in the formula 2 it turns out with the first term a little bit more difficultly moving electron will perceive a potential field not how it was in a statics that it to define it is necessary to pass in the mobile system of coordinates connected with the electron we already know that the scalar potential enters as a component of the four-vector which is looking like and at transition to mobile system of coordinates will be transformed as time component ct in lorentz transformations 8 for scalar potential it will look so 9 where scalar product v2a in view of that other components of velocity v2 will not give the contribution to last term is used considering that for small velocity 1 from 9 is received for moving electron 10 according to the formula 2 with regard to movement electron and with use 10 it is had 11 last term in 11 we shall transform under the known formula of the vector analysis 12 where a and b any two vectors applying this formula to scalar product v2a we consider that derivatives on coordinates do not act on components of velocity v2 and as a result it turns out 13 the equation of movement of a particle in an electromagnetic field on which force operates will enter in the form of 14 we see that force f consists of two essentially various parts the first part the first and second members in the right part does not depend on velocity of a particle the second part the third member depends on this velocity force is proportional to value of velocity and perpendicular to it on character of action of electromagnetic force on its moving particle have conditionally divided into an electric part force which can impart energy to a particle and a magnetic part force which does not make work above a separate moving particle as it is always perpendicular to velocity of a particle such division of forces and fields has arisen historically even before creation of the electromagnetic theory that is to external attributes of display of forces lorentz force for the description of a magnetic field the vector is used 15 and the electric field is defined under the formula 2 now there is an opportunity to write the equation of movement of a particle in electromagnetic field 14 in the following form 16 expression costing on the right carries the name of lorentz force its the first term force from which the electric field operates on electron does not depend on velocity of a particle and is focused in a direction of field e the second term the force caused by action of a magnetic field on electron is proportional to velocity of a particle and is directed perpendicularly by this velocity and to a direction of magnetic field b we shall note that by nature e represents polar and b axial vectors it affects their behaviour at various transformations of coordinates for example at mirror reflection of system of coordinates when vector e is directed normally to a plane of a mirror it changes the sign for return vector b at similar transformation of the sign does not change i e it behaves as a vector of angular velocity of rotation if in electromagnetic field e 0 and b 0 speak about an electric field if e 0 and b 0 the field refers to magnetic from the equation 14 we see that this division is cleanly conditional as far as vector potential a enters in both parts of fields and the electric part of a field can pass at any moment in a magnetic part and on the contrary therefore sometimes speak that the varying with time magnetic field generates an electric field and varying with time the electric field generates a magnetic field though it not absolutely corresponds to the mechanism of formation of fields actually fields always arise simultaneously and extend with a velocity c in the form of spherical waves from moving particles summary generally the electromagnetic field is imposing of both fields and sometimes represents complex enough combination from electric and magnetic parts of a uniform field now we also know that in a basis of all electromagnetic fields of any origin there are the casual waves of physical vacuum to a certain extent as a matter of fact an ether which have been scattered by particles and modulated with frequency value and polarization character of this modulation is entirely caused by the form of movement of particles references 1 st marinov rotating coupled mirrors experiments ind j theor phys 31 n 2 1983 93-96 2 j p wesley c monstein solar system velocity from muon flux anisotropy apeiron 3 n 2 april 1996 33-37 3 a l shalyapin v i stukalov introduction to the classical electrodynamics and atomic physics ekaterinburg ustu-upi 1999 4 a l shalyapin v i stukalov introduction to the classical electrodynamics and atomic physics ekaterinburg ustu-umc 2006 5 a l shalyapin v i stukalov analysis of mechanism of magnetic interactions with attraction acoustic quasielastic physical vacuum models proceeding of reports...