Heat, Resolvent and Wave Kernels with Multiple Inverse Square Potential on the Euclidian Space Rn - Applied Mathematics

AM > Vol.5 No.16, September 2014

Heat, Resolvent and Wave Kernels with Multiple Inverse Square Potential on the Euclidian Space Rⁿ ()

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DOI: 10.4236/am.2014.516249 3,298 Downloads 4,076 Views

Author(s)

Mohamed Vall Ould Moustapha

Affiliation(s)

Unité de Recherche: Analyse, EDP et Modélisation (AEDPM), Département de Mathématiques et Informatique, Faculté des Sciences et Techniques, Universitè des Sciences, de Technologie et de la Médecine (USTM), Nouakchott, Mauritanie.

ABSTRACT

In this paper, the heat, resolvent and wave kernels associated to the Schr?dinger operator with multi-inverse square potential on the Euclidian space Rⁿare given in explicit forms.

KEYWORDS

Heat Kernel, Wave Kernel, Resolvent Kernel, Multiple-Inverse Square Potential, Bessel Function, Lauricella Hypergeometric Function

Share and Cite:

Ould Moustapha, M. (2014) Heat, Resolvent and Wave Kernels with Multiple Inverse Square Potential on the Euclidian Space Rⁿ. Applied Mathematics, 5, 2612-2618. doi: 10.4236/am.2014.516249.

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