A strong background field will change the vacuum structure and proper basis of a system drastically in both classical quantum mechanics, e.g. Landau levels magnetic field. The situation is same for rotating case. In such usual set plane-wave states would no longer be suitable as starting point perturbation. Alternatively straightforwardly rapidly globally system, it better to reformulate pertur...

We study the long time behavior of kinetic Fokker-Planck equation with mean field interaction, whose limit is often called Vlasov-Fokker-Planck equation. prove a uniform (in number particles) exponential convergence to equilibrium for solutions in weighted Sobolev space H1(?) rate which explicitly computable and independent particles. The originality proof relies on functional inequalities hypo...

Recent progress in theoretical physics suggests that the dark energy in the universe result from the Born-Infeld (B-I) type scalar field of string theory. The universe of B-I type scalar field with potential can undergo a phase of accelerated expansion. The corresponding equation of state parameter lies in the range of −1 < w < − 1 3. The equation of state parameter of B-I type scalar field wit...

Recent many physicists suggest that the dark energy in the universe might result from the Born-Infeld(B-I) type scalar field of string theory. The universe of B-I type scalar field with potential can undergo a phase of accelerating expansion. The corresponding equation of state parameter lies in the range of −1 < ω < − 1 3. The equation of state parameter of B-I type scalar field without potent...

We derive an exact equation for density changes induced by a general external field that corrects the hydrostatic approximation where the local value of the field is adsorbed into a modified chemical potential. Using linear response theory to relate density changes self-consistently in different regions of space, we arrive at an integral equation for a hard sphere fluid that is exact in the lim...

We have shown recently that the gravity field phenomena can be described by a traceless part of the wave-type field equation. This is an essentially non-Einsteinian gravity model. It has an exact sphericallysymmetric static solution, that yields to the Yilmaz-Rosen metric. This metric is very close to the Schwarzchild metric. The wave-type field equation can not be derived from a suitable varia...