VARIATIONAL-PRINCIPLES FOR THE TIME-INDEPENDENT WAVE-PACKET-SCHRODINGER AND WAVE-PACKET-LIPPMANN-SCHWINGER EQUATIONS

Citation
Dj. Kouri et al., VARIATIONAL-PRINCIPLES FOR THE TIME-INDEPENDENT WAVE-PACKET-SCHRODINGER AND WAVE-PACKET-LIPPMANN-SCHWINGER EQUATIONS, The Journal of chemical physics, 100(5), 1994, pp. 3662-3671
Citations number
32
Categorie Soggetti
Physics, Atomic, Molecular & Chemical
ISSN journal
00219606
Volume
100
Issue
5
Year of publication
1994
Pages
3662 - 3671
Database
ISI
SICI code
0021-9606(1994)100:5<3662:VFTTW>2.0.ZU;2-I
Abstract
Several variational principles, whose Euler equations are the recently derived time-independent wave-packet-Schrodinger or wave-packet-Lippm ann-Schwinger equations, are presented. A particularly attractive wave -packet-Kohn variational principle for either the T- or S-matrix is gi ven which yields inhomogeneous algebraic equations whose ''universal i nhomogeneity'' does not depend explicitly on the collision energy. The validity of the approach is demonstrated with calculations for two si mple one dimensional scattering problems and for the collinear H+H-2 r eactive scattering problem.