Abstract In this work we consider the one-dimensional Dirac equation including an electrostatic potential with compact support, and focus on regime of bound states. We obtain exact expressions for both characteristic function eigenfunctions in L 2 (ℝ, ℂ ), given form power series energy parameter. This approach is meant arbitrary bounded potentials, so that a square special case theory here pre...

In this study, we apply the parametric Nikiforov-Uvarov method to obtain bound state solution of Schrödinger wave equation in presence Kratzer plus generalized Morse potential (KPGM). The energy eigen and corresponding normalised function were obtained closed form. resulting was used study partition other thermodynamic properties such as vibrational mean energy, specific heat capacity, free ent...

Abstract The present work deals with the classical and quantum aspects of Raychaudhuri equation (RE) in framework f ( T )-gravity theory. In background homogeneous isotropic Friedmann–Lemaître–Robertson–Walker space-time, RE has been formulated used to examine focusing theorem convergence condition for different choices ). Finally cosmology, wave function Universe shown be energy eigen time-ind...

Cylindrically symmetric inhomogeneous string cosmological model of the universe in presence of electromagnetic field is investigated. We have assumed that F12 is the only non-vanishing component of electromagnetic field tensor Fij . The Maxwell’s equations show that F12 is the function of x alone whereas the magnetic permeability is the function of x and t both. To get the deterministic solutio...

UNLABELLED We provide a new statistical algorithm and software package called 'eigen-R(2)' for dissecting the variation of a high-dimensional biological dataset with respect to other measured variables of interest. We apply eigen-R(2) to two real-life examples and compare it with simply averaging R(2) over many features. AVAILABILITY An R-package eigenR2 is available at http://www.genomine.or...

We prove polynomial and exponential decay at infinity of eigen-vectors of partial differential operators related to radiation problems for time-harmonic generalized Maxwell systems in an exterior domain Ω ⊂ RN , N ≥ 1, with non-smooth inhomogeneous, anisotropic coefficients converging near infinity with a rate r−τ , τ > 1, towards the identity. As a canonical application we show that the corres...

In this paper we critically analyze the so far performed and proposed tests for measuring the general relativistic Lense-Thirring effect in the gravitational field of the Earth with some of the existing accurately tracked artificial satellites. The impact of the 2nd generation GRACE-only EIGEN-GRACE02S Earth gravity model and of the 1st CHAMP+GRACE+terrestrial gravity combined EIGEN-CG01C Earth...

The convergence of iterative methods used to solve the linear equations arising from radiosity systems depends on the distribution of the eigenvalues of the radiosity coefficient matrix. In this paper we prove that all eigenvalues of the radiosity coefficient matrix are real and positive. This fact may allow us to obtain fast radiosity solutions using the knowledge about the spectrum of the mat...