HEAT, RESOLVENT AND WAVE KERNELS WITH TRIPLE
INVERSE SQUARE POTENTIAL ON THE EUCLIDIAN
SPACE (R+)3
Mohamed Vall Ould Moustapha
Université des Sciences, de Technologie et de la Médecine (USTM)
Faculté des Sciences et Techniques
Département de Mathématiques et Informatique
Unité de Recherche: Analyse, EDP et Modélisation (AEDPM)
B.P: 5026, Nouakchott, MAURITANIA
Abstract. In this paper the heat, resolvent and wave kernels associated to the Schrödinger operator with triple-inverse square potential on the Euclidian space (R+)3 are given in explicit forms.
AMS Subject classification: 35JO5, 35JO8, 35K08
Keywords and phrases: heat kernel, wave kernel, resolvent kernel, triple-inverse square potential, Lauricella hypergeometric function


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DOI: 10.12732/ijam.v28i4.3

Volume: 28
Issue: 4
Year: 2015