We consider the relativistic deformation of quantum waves and mechanical bodies carrying intrinsic angular momentum (AM). When observed in a moving reference frame, the centroid of the object undergoes an AM-dependent transverse shift. This is the relativistic analogue of the spin-Hall effect, which occurs in free space without any external fields. Remarkably, the shifts of the geometric and en...

In this paper, at first we have formulated the lowest order constrained variational method for the relativistic case of an interacting fermion system at finite temperature. Then we have used this formalism to calculate some thermodynamic properties of liquid in the relativistic regime. The results show that the difference between total energies of relativistic and non-relativistic cases of liqu...

We consider asymtotically anti-de Sitter spacetimes in general dimensions. We review the origin of infrared divergences in the on-shell gravitational action, and the construction of the renormalized on-shell action by the addition of boundary counterterms. In odd dimensions, the renormalized on-shell action is not invariant under bulk diffeomorphisms that yield conformal transformations in the ...

We investigate a quantum non-relativistic system describing the interaction of two particles with spin 1/2 and 0, respectively. Assuming that Hamiltonian is rotationally invariant parity conserving we identify all such systems which allow additional (pseudo)tensor integrals motion are second order matrix polynomials in momenta. Previously found (pseudo)scalar (axial)vector motion. No non-obviou...

The nonlinear self-interaction of an electrostatic surface wave on a semibounded quantum plasma with relativistic degeneracy is investigated by using quantum hydrodynamic (QHD) model and the Poisson’s equation with appropriate boundary conditions. It is shown that a part of the second harmonic generated through self-interaction does not have a true surface wave character but propagates obliquel...