Factorization of the Non-Stationary Schrodinger Operator
Mathematical Physics
2011-11-09 v2 Analysis of PDEs
math.MP
Abstract
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 solution for the parabolic Dirac operators, we shall construct appropriated Teodorescu and Cauchy-Bitsadze operators. Afterwards we will describe how to solve the nonlinear Schrodinger equation using Banach fixed point theorem.
Cite
@article{arxiv.0704.2304,
title = {Factorization of the Non-Stationary Schrodinger Operator},
author = {P. Cerejeiras and N. Vieira},
journal= {arXiv preprint arXiv:0704.2304},
year = {2011}
}