Mathematical modeling of boundary conditions for laser‐molecule time‐dependent Schrödinger equations and some aspects of their numerical computation—One‐dimensional case

This article deals with boundary conditions for time-dependent Schrodinger equations for molecules excited by intense and ultrashort electric fields. On the basis of Volkovwavefunctions, we propose an original boundary condition design that allows to reduce spurious reflections at the domain boundary and allows to take at least partially, plasma effects into account. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 00: 000–000, 2008

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