In the present paper we investigate classical self-interaction associated with a charged scalar point particle placed at rest in gravitational field of linear topological defect known literature as cosmic dispiration, combination string screw dislocation. We found exact expressions for Green's function and, consequently, self-energy by considering both massive and massless particles. numerical ...

We consider $f(R)$ gravity theories in the presence of a scalar field minimally coupled to with self-interacting potential $(2+1)$-dimensions. Without specifying form function, we first obtain an exact black hole solution dressed hair charge appear function and discuss its thermodynamics. This at large distances gives hairy BTZ hole, it reduces when decouples. In pure supported by field, find s...

We investigate whether a generic pure state on a multipartite quantum system can be the unique asymptotic steady state of locality-constrained purely dissipative Markovian dynamics. In the tripartite setting, we show that the problem is equivalent to characterizing the solution space of a set of linear equations and establish that the set of pure states obeying the above property has either mea...

We discuss the problem of time in spherically symmetric pure Einstein gravity with the cosmological term by using an exact solution to the Wheeler-DeWitt equation. A positive definite inner product is defined, based on the momentum constraint rather than the hamiltonian constraint. A natural notion of time is introduced via the Heisenberg equation. This notion enables one to reproduce the time-...

This paper presents a new smooth object manipulation method which is based on finger relocation. It relies on a special stratified manipulation concept. This method performs the stratified motion planning algorithm, not using the exact kinematic model but a fictitious system. The process provides a simpler control algorithm because it substitutes the generally hard symbolic computation problem ...

LTH–601 We discuss the 2P P I expansion, a summation of the bubble graphs up to all orders, by means of the 2D Gross-Neveu toy model, whose exact mass gap and vacuum energy are known. Then we use the expansion to give analytical evidence that a dimension two gluon condensate exists for pure Yang-Mills in the Landau gauge. This A a µ A a µ condensate consequently gives rise to a dynamical gluon ...

This paper shows design studies with bent panels which are originally rectangular or at least approximately rectangular. Based on recent results obtained in the geometry processing community, we algorithmically approach the questions of an exact rectangular shape of panels; of watertightness of the resulting paneling; and of the panel shapes being achievable by pure bending. We conclude the pap...

OBJECTIVES: In this paper, we present an exact analytical solution to surface current density for a spherical shaped magnetic field coil, that is capable of producing axially (z) directed field which varies linearly as well as according to the other pure zonal harmonics along the z direction inside the spherical coil. The other aim is to obtain an analytic expression for the surface current den...

We derive the macroscopic Fourier's Law of heat conduction from the exact gain-loss time convolutionless quantum master equation under three assumptions for the interaction kernel. To second order in the interaction, we show that the first two assumptions are natural results of the long time limit. The third assumption can be satisfied by a family of interactions consisting of an exchange effec...

The exact vector integral solution for all the electromagnetic field components of a general flattened Gaussian laser mode is derived by using the angular spectrum method. This solution includes the pure and annular Gaussian modes as special cases. The integrals are of the form of Gegenbauer's finite integral and are computed analytically for each case, yielding fields satisfying the Maxwell eq...