We show that the Schrödinger and Klein-Gordon equations can both be derived from a hypergeometric differential equation. The same applies to non linear generalizations of these equations.

Through the use of an important property of a fourth-order correlation matrix previously reported (Valdemoro, C.; Tel, L. M.; Alcoba, D. R.; Perez-Romero, E.; Casquero, F. J. Int J Quantum Chem 2002, 90, 1555; Alcoba, D. ...

In this talk we consider the mean- eld approximation of the many-body Schr odinger equation, localized in space. This model is represented by the non-linear equation, i@t = �� 1 2 @2 x +W(x; ) = 0; for a non-linear ...

We consider a time-dependent coupled system of Schr odinger equations, i ut = �� u + V (x)u + g(x)v i vt = �� v +W(x)v + g(x)u both equations in the half line x > 0, with Diriclet boundary condition at the origin. We assume ...

We consider a time-dependent coupled system of Schr¨odinger equations, i ut = −Δu + V (x)u + g(x)v i vt = −Δv +W(x)v + g(x)u both equations in the half line x > 0, with Dirichlet boundary condition at the origin. We assume ...

We discuss two sources of error in the numerical calculation of eigenvalues and eigenfunctions of the one-dimensional Schrödinger equation. By means of suitable examples we analyse the effect of both a finite mesh size and ...

In this paper we analyse the relevant role played by the third-order correlation terms in the contracted Schrödinger equation (CSE) methodology. The quality of the approximations used when evaluating these terms influence ...