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Mathematical modeling of boundary conditions for laser‐molecule time‐dependent Schrödinger equations and some aspects of their numerical computation—One‐dimensional case
Author(s) -
Lorin Emmanuel,
Chelkowski S.,
Bandrauk A.D.
Publication year - 2009
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20334
Subject(s) - boundary value problem , spurious relationship , mathematics , computation , boundary (topology) , excited state , wave function , domain (mathematical analysis) , schrödinger equation , mathematical analysis , partial differential equation , basis (linear algebra) , physics , quantum mechanics , geometry , algorithm , statistics
This article deals with boundary conditions for time‐dependent Schrödinger equations for molecules excited by intense and ultrashort electric fields. On the basis of Volkov wavefunctions, 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, 2009