Application of Generalized Quantum Hydrodynamics in the Theory of Quantum Soliton's Evolution

Abstract

Quantum solitons are discovered with the help of generalized quantum hydrodynamics (GQH). The solitons have the character of the stable quantum objects in the self consistent electric field. These effects can be considered as explanation of the existence of lightning balls. The delivered theory demonstrates the great possibilities of the generalized quantum hydrodynamics in investigation of the quantum solitons. The paper can be considered also as comments and prolongation of the materials published in the known author`s monograph (Boris V. Alexeev, Generalized Boltzmann Physical Kinetics. Elsevier. 2004). The theory leads to solitons as typical formations in the generalized quantum hydrodynamics.Key words: Foundations of the theory of transport processes; The theory of solitons; Generalized hydrodynamic equations; Foundations of quantum mechanics; The theory of lightning balls.

To the Non-Local Theory of Cold Nuclear Fusion

“…NLE include quantum hydrodynamics of Schrödinger-Madelung as a deep particular case [15] and can be applied in the frame of the unified theory from the atom scale to the Universe evolution. (4) The choice of the non-local parameter needs special consideration [19][20][21][22]. The system of equations (3.2)-(3.4) convert in the system of quantum hydrodynamic equations by the suitable choice of the non-local parameter τ .…”

To the Theory of Galaxies Rotation and the Hubble Expansion in the Frame of Non-Local Physics

“…3) The non-local kinetic effects listed above will always be relevant to a kinetic theory using one particle description-including, in particular, applications to liquids or plasmas, where self-consistent forces with appropriately cut-off radius of their action are introduced to expand the capability of GBE [20][21][22][23][24][25]. Fluctuation effects occur in any open thermodynamic system bounded by a control surface transparent to particles.…”

“…The violation of Bell's inequalities [5] is found for local statistical theories, and the transition to non-local description is inevitable. The following conclusion of principal significance can be done from the generalized quantum consideration [22,23]: 1) Madelung's quantum hydrodynamics is equivalent to the Schrödinger equation (SE) and leads to description of the quantum particle evolution in the form of Euler equation and continuity equation.…”

“…A Strict consideration leads to the following system of the generalized hydrodynamic equations (GHE) [6,[22][23][24][25][29][30][31] …”

“…the problem of the hydrod m description (like th ts in the classical hy of the the Int physical syste kinetic coefficien eresting to notice that quantum GHE were applied with success for calculation of atom structure [22][23][24][25], which is considered as two species charged , e i mixture. The corresponding approximations for non-local parameters i  , e  and ei  are proposed in [22,23].…”