16 citations · 60 across the 8 of their papers we have counts for
8 papers
Consistency between adiabatic and nonadiabatic geometric phases for nonselfadjoint hamiltonians
David Viennot, Arnaud Leclerc, Georges Jolicard +1
We show that the adiabatic approximation for nonselfadjoint hamiltonians seems to induce two non-equal expressions for the geometric phase. The first one is related to the spectral…
Global integration of the Schrödinger equation within the wave operator formalism: The role of the effective Hamiltonian in multidimensional active spaces
Georges Jolicard, Arnaud Leclerc, David Viennot +1
A global solution of the Schrödinger equation, obtained recently within the wave operator formalism for explicitly time-dependent Hamiltonians [J. Phys. A: Math. Theor. 48, 225205…
Discussion of the adiabatic hypothesis in control schemes using exceptional points
Arnaud Leclerc, Georges Jolicard, John P. Killingbeck
We present calculations for the action of laser pulses on vibrational transfer within the H2+ and Na2 molecules in the presence of dissipation due to photodissociation of the molec…
Constrained Adiabatic Trajectory Method (CATM): a global integrator for explicitly time-dependent Hamiltonians
Arnaud Leclerc, Georges Jolicard, David Viennot +1
The Constrained Adiabatic Trajectory Method (CATM) is reexamined as an integrator for the Schrödinger equation. An initial discussion places the CATM in the context of the differen…
Development of a general time-dependent absorbing potential for the constrained adiabatic trajectory method
Arnaud Leclerc, Georges Jolicard, John P. Killingbeck
The Constrained Adiabatic Trajectory Method (CATM) allows us to compute solutions of the time-dependent Schrödinger equation using the Floquet formalism and Fourier decomposition,…
Quantum dynamics by the constrained adiabatic trajectory method
A. Leclerc, S. Guérin, G. Jolicard +1
We develop the constrained adiabatic trajectory method (CATM) which allows one to solve the time-dependent Schrödinger equation constraining the dynamics to a single Floquet eigens…