Abstract We obtain accurate eigenvalues of the one-dimensional Schrödinger equation with a Hamiltonian form H g = + g? ( x ), where ? ) is Dirac delta function. show that well known Rayleigh–Ritz variational method suitable approach provided basis set takes into account effect on wavefunction. Present analysis may be for an introductory course quantum mechanics to illustrate application problem...

analysis and the continued success of the moderate islamic discourse on other discourses in turkey in a social environment that nearlya century in the western orientation and secular changes in the basis of social, political and cultural, is the central issue to the most article. this article goes beyond the ideological debates, in the analysis of this fundamental change in this country as a lo...

It is known that the study of exact solutions is useful to the understanding of nonperturbative effects in the strongly correlated electronic systems. The exact solution of the onedimensional Kondo model with linearized dispersion and no correlations between electrons was found in Refs. 1 and 2. In this paper, we study the problem of a Kondo impurity with arbitrary spin in the presence of the e...

The very long-term evolution of the hierarchical restricted three-body problem is calculated analytically for high inclinations. The Kozai-Lidov Cycles (KLCs) slowly evolve due to the octupole term in the perturber's potential and exhibit striking features, including extremely high eccentricities and the generation of retrograde orbits with respect to the perturber. These features were found in...

Turkish biologists have much to be worried about: the drift to Islamism is creeping ahead in the perception of many academics so the enthusiastic welcome for an American evolutionary biologist earlier this year provided a welcome fillip for university staff. Turkey represents a unique state: formed from the remnants of the centuries-old Ottoman empire in 1923, it was headed by Mustafa Kemal Ata...

Religious method of treatment dominated treatments of psychiatric patients until the start of twentieth century. After psychiatry was recognized as a distinct medical discipline, in nineteenth century, it begun to shift away from religious approach to the treatment of mentally ill persons. During the twentieth century, it was enriched using psychotherapy, socio-therapy and biological methods o...

We survey and extend the recent progress in polynomial root-finding based on reducing the problem to eigen-solving for highly structured generalized companion matrices. In particular we cover the selection of the eigen-solvers and the matrices and the resulting benefits based on exploiting matrix structure. No good estimates for global convergence of the basic eigen-solvers have been proved, bu...