Fundamental Solutions of the Instationary Schrodinger Difference Operator

Details Fundamental Solutions of the Instationary Schrodinger Difference Operator Fundamental Solutions of the Instationary Schrodinger Difference Operator

2007-11-23

arxiv.org/abs/0711.3574v1

Physics

Mathematical Physics

Submited to publication in Advances in Applied Clifford Algebras (special issue for WCAA 07)

Scientific paper

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 symbol for the Laplace operator. In both cases we
will prove that the discrete fundamental solutions obtained converges to the
continuous fundamental solution in the $l_1-$norm sense.

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