16 citations · 27 across the 3 of their papers we have counts for
3 papers
math-ph2007
Fundamental Solutions of the Instationary Schrodinger Difference Operator
P. Cerejeiras, N. Vieira
In this paper we will study the existence of fundamental solutions for the explicit and implicit backward time dependent Schodinger equation, via discrete Fourier transform and its…
math.NA2007★ 16 cited
Numerical Clifford Analysis for Nonlinear Schrodinger Problem
P. Cerejeiras, N. Faustino, N. Vieira
The aim of this work is to study the numerical solution of the nonlinear Schrodinger problem using a combination between Witt basis and finite difference approximations. We constru…
math-ph2007★ 11 cited
Factorization of the Non-Stationary Schrodinger Operator
P. Cerejeiras, N. Vieira
We consider a factorization of the non-stationary Schrodinger operator based on the parabolic Dirac operator introduced by Cerejeiras/ Kahler/ Sommen. Based on the fundamental solu…