This article deals with boundary conditions for time-dependent SchrÃ¶dinger equations for molecules excited by intense and ultrashort electric fields. On the basis of Volkovwavefunctions, we proposeâ€¦ (More)

We present in this paper an original ab initio Maxwellâ€“SchrÃ¶dinger model and a methodology to simulate intense ultrashort laser pulses interacting with a 3D H2 -gas in the nonlinear nonperturbativeâ€¦ (More)

A new mechanism for the production of electron-positron pairs from the interaction of a laser field and a fully ionized diatomic molecule in the tunneling regime is presented. When the laser field isâ€¦ (More)

A Schwarz Waveform Relaxation (SWR) algorithm is proposed to solve by Domain Decomposition Method (DDM) linear and nonlinear SchrÃ¶dinger equations. The symbols of the transparent fractionalâ€¦ (More)

The paper is devoted to develop efficient domain decomposition methods for the linear SchrÃ¶dinger equation beyond the semiclassical regime, which does not carry a small enough rescaled Planckâ€¦ (More)

Attempts to define weak solutions to nonconservative hyperbolic systems have lead to the development of several approaches, most notably the path-based theory of Dal Maso, LeFloch, and Murat (DLM)â€¦ (More)

In this paper we present an extension of the reservoir technique (see, [Alouges et al., Submitted; Alouges et al.(2002a), In: Finite volumes for complex applications, III, pp. 247â€“254, Marseille;â€¦ (More)