Factorization of the Non-Stationary Schrodinger Operator

Details Factorization of the Non-Stationary Schrodinger Operator Factorization of the Non-Stationary Schrodinger Operator

2007-04-18

arxiv.org/abs/0704.2304v2

Physics

Mathematical Physics

Accepted for publication in Advances in Applied Clifford Algebras

Scientific paper

10.1007/s00006-007-0039-6

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.

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