Fundamental Solutions of the Instationary Schrodinger Difference Operator

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

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Mathematical Physics, Complex Variables, Primary: 30G35; Secondary: 39A12, 65M06

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http://salesiana.dossiersoluciones.com/handle/123456789/142695

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.3574
 http://arxiv.org/abs/0711.3574

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arXiv