# Global integration of the Schrödinger equation: a short iterative scheme within the wave operator formalism using discrete Fourier transforms

@article{Leclerc2015GlobalIO, title={Global integration of the Schr{\"o}dinger equation: a short iterative scheme within the wave operator formalism using discrete Fourier transforms}, author={Arnaud Leclerc and Georges Jolicard}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2015}, volume={48} }

A global solution of the Schrödinger equation for explicitly time-dependent Hamiltonians is derived by integrating the nonlinear differential equation associated with the time-dependent wave operator. A fast iterative solution method is proposed in which, however, numerous integrals over time have to be evaluated. This internal work is done using a numerical integrator based on fast Fourier transforms (FFT). The case of a transition between two potential wells of a model molecule driven by…

## 2 Citations

### Exotic states in the strong-field control of H 2 + dissociation dynamics: from exceptional points to zero-width resonances

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H 2 + is an ideal candidate for the detailed study of strong-field coherent control strategies inspired by basic mechanisms referring to some specific photodissociation resonances. Two of them are…

### Global integration of the Schrödinger equation within the wave operator formalism: the role of the effective Hamiltonian in multidimensional active spaces

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A global solution of the Schrödinger equation, obtained recently within the wave operator formalism for explicitly time-dependent Hamiltonians (Leclerc and Jolicard 2015 J. Phys. A: Math. Theor. 48…

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