5 citations · 6 across the 4 of their papers we have counts for
6 papers
Computation of Energy Eigenvalues of the Anharmonic Coulombic Potential with Irregular Singularities
M. Essaouini, B. Abouzaid, P. Gaudreau +1
The present contribution concerns the computation of energy eigenvalues of a perturbed anharmonic coulombic potential with irregular singularities using a combination of the Sinc c…
A Numerical Treatment of Energy Eigenvalues of Harmonic Oscillators Perturbed by a Rational Function
Philippe Gaudreau, Hassan Safouhi
In the present contribution, we apply the double exponential Sinc-collocation method (DESCM) to the one-dimensional time independent Schrödinger equation for a class of rational po…
On the Computation of Eigenvalues of the Anharmonic Coulombic Potential
Tyler Cassidy, Philippe Gaudreau, Hassan Safouhi
In this work, we propose a method combining the Sinc collocation method with the double exponential transformation for computing the eigenvalues of the anharmonic Coulombic potenti…
Centrosymmetric Matrices in the Sinc Collocation Method for Sturm-Liouville Problems
Philippe Gaudreau, Hassan Safouhi
Recently, we used the Sinc collocation method with the double exponential transformation to compute eigenvalues for singular Sturm-Liouville problems. In this work, we show that th…
Computing Energy Eigenvalues of Anharmonic Oscillators using the Double Exponential Sinc collocation Method
Philippe Gaudreau, Richard Slevinsky, Hassan Safouhi
A quantum anharmonic oscillator is defined by the Hamiltonian , where the potential is given by $V(x) = \sum_{i=1}^{m} c_{i} x^…
The Double Exponential Sinc Collocation Method for Singular Sturm-Liouville Problems
Philippe Gaudreau, Richard Slevinsky, Hassan Safouhi
Sturm-Liouville problems are abundant in the numerical treatment of scientific and engineering problems. In the present contribution, we present an efficient and highly accurate me…