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An integral representation for the resolvent kernel with magnetic fields on the hyperbolic plane and applications to time dependent Schrödinger equations
Mohamed Vall Ould Moustapha
In this paper we give an integral representation for the resolvent kernels with uniform magnetic field on the hyperbolic plane, as applications of our results we solve explicitly t…
Wave kernels with magnetic field on the hyperbolic plane and with the Morse potential on the real line
Mohamed Vall Ould Moustapha
In this article we give explicit solutions for the wave equations associated to the modified Schrödinger operators with magnetic field on the disc and the upper half plane models o…
Wave kernel for the Schrodinger operator with a Liouville potential
Yehdhih Mohamed Abdelhaye, Badahi Mohamed, Mohamed Vall Ould Moustapha
In this note we give an explicit formula for the wave equation associated to the Schrodinger operator with a Liouville Potential with applications to the telegraph equation as well…
Singular heat and wave equations on the Euclidien space
Mohamed Vall Ould Moustapha
In this paper we give the explicit formulas for the solution of the singular generalized heat and wave equations on the Euclidian space .
An intertwining operator for the harmonic oscillator and the Dirac operator with application to the heat and wave kernels
Ahmedou Yahya ould Mohameden, Mohamed Vall Ould Moustapha
In this article an intertwining operator is constructed which transforms the harmonic oscillator to the Dirac operator (the first order derivative operator). We give also the expli…