2 papers
math.GM2017
Laplace equation for the Dirac, Euler and the harmonic oscillator
Ahmedou Yahya Ould Mohameden, Mohamed Vall Ould Moustapha
In this article, we give the explicit solutions to the Laplace equations associated to the Dirac operator, Euler operator and the harmonic oscillator in R.
math-ph2012
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…