The most general combination of couplings of fermions with external potentials in 1+1 dimensions, must include vector, scalar and pseudoscalar potentials. We consider such a mixing of potentials in a PT-symmetric time-independent Dirac equation. The Dirac equation is mapped into an effective PT-symmetric Schrödinger equation. Despite the non-hermiticity of the effective potential, we find real ...

The spinless Salpeter equation presents a rather particular differential operator. In this paper we rewrite this equation into integral and integro-differential equations. This kind of equations are well known and can be more easily handled. We also present some analytical results concerning the spinless Salpeter equation and the action of the square-root operator. 03.65.Pm, 02.30.Rz Typeset us...

Axial Flux Permanent Magnet (AFPM) machines are attractive candidates for Electric Vehicles (EVs) applications due to their axial compact structure, high efficiency, high power and torque density. This paper presents general design characteristics of AFPM machines. Moreover, torque density of the machine which is selected as main objective function, is enhanced by using Genetic Algorithm (GA) a...

Besides perturbation theory, which requires the knowledge of the exact unperturbed solution, variational techniques represent the main tool for any investigation of the eigenvalue problem of some semibounded operator H in quantum theory. For a reasonable choice of the employed trial subspace of the domain of H, the lowest eigenvalues of H can be located with acceptable precision whereas the tri...

ABSTRACT The white dwarf binary pathways survey is dedicated to studying the origin and evolution of binaries containing a an intermediate-mass secondary star spectral type A, F, G, or K (WD + AFGK). Here, we present CPD-65 264, new post-common envelope with orbital period 1.37 d that contains massive ($0.86\pm 0.06\, \mathrm{M}_{\odot }$) ($1.00\pm 0.05\, main-sequence star. We characterized m...

BACKGROUND Chronic exposure to particulate air pollution may accelerate cognitive decline in older adults, although data on this association are limited. Our objective was to examine long-term exposure to particulate matter (PM) air pollution, both coarse ([PM 2.5-10 μm in diameter [PM(2.5-10)]) and fine (PM <2.5 μm in diameter [PM(2.5)]), in relation to cognitive decline. METHODS The study p...

The two-dimensional generalization of the Polyelectolite model of DNA is proposed. It is reduced to the boundary problem for nonlinear quite integrable equation sinh-Gordon. In the linearisible version the exact solution is constructed and its asymp-totic is found. The soliton solutions of nonlinear equation are calculated that allowed tells about the possibility of the structural phase transit...

A time-decaying Dirac equation is suggested. For a free particle with rest mass about 0.5GeV, the live-time is about 10 second in the rest frame. PACS numbers: 03.56.Pm, 12.90.+b, 14.80.-j