100 citations · 495 across the 18 of their papers we have counts for
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Numerical solution of the time-independent Dirac equation for diatomic molecules: B-splines without spurious states
F. Fillion-Gourdeau, E. Lorin, A. D. Bandrauk
Two numerical methods are used to evaluate the relativistic spectrum of the two-centre Coulomb problem (for the and diatomic molecules) in the fixed nuc…
Efficient determination of critical parameters of nonlinear Schrödinger equation with point-like potential using generalized polynomial chaos methods
Debananda Chakraborty, Jae-Hun Jung, Emmanuel Lorin
We consider the nonlinear Schrödinger equation with a point-like source term. The soliton interaction with such a singular potential yields a critical solution behavior. That is, f…
Numerical Solution of the Time-Dependent Dirac Equation in Coordinate Space without Fermion-Doubling
Francois Fillion-Gourdeau, Emmanuel Lorin, Andre D. Bandrauk
The validation and parallel implementation of a numerical method for the solution of the time-dependent Dirac equation is presented. This numerical method is based on a split opera…