Internal eigenstate problem: the trial state method.
It is shown that the device of adding a special trial state to a basis set, thus augmenting by 1 the dimension of any complex matrix being studied, leads to a formalism that permits the application of the wave operator approach to calculating the internal spectrum of the matrix as well as the action of the resolvent operator (E-H)(-1) on an arbitrary vector in the original N-dimensional space. Two calculational variants of the method are described and both are tested by studying the problem of a short laser pulse interacting with a H+2 ion.
Jolicard
G
G
Laboratoire d'Astrophysique de l'Observatoire de Besançon (CNRS UPRESA6091), 41 bis Avenue de l'Observatoire, BP 1615, 25010 Besançon Cedex, France.
Killingbeck
J P
JP
Perrin
M Y
MY