2007, Vol.10, No.1, pp.86-91
The method of Gaussian wave packet (GWP)
propagation introduced by Heller
is a popular tool for doing time
dependent quantum mechanical calculations
in particular in molecular and nuclear physics. We show that this method is
also applicable to atomic systems. We concentrate on
the H-atom in a strong magnetic field, where a well-known regularization is used
to remove the singularity. The Coulomb potential is transformed to a
harmonic potential making GWP especially suitable. All equations of
motion are obtained in analytic form. The matrix singularity problem
encountered in the equations of motion derived from a time dependent
variational principle is overcome by using a singular value decomposition (SVD).
Key words:
Gaussian wave packets, variational approximation
Full text: Acrobat PDF (214KB)
Copyright © Nonlinear Phenomena in Complex Systems. Last updated: March 14, 2007