Collect. Czech. Chem. Commun. 2003, 68, 295-306

New Version of the Rayleigh-Schrödinger Perturbation Theory

Miloš Kalhousa, Lubomír Skálaa,b,*, Jaroslav Zamastila,b and Jiří Čížeka,b

a Charles University, Faculty of Mathematics and Physics, Ke Karlovu 3, 121 16 Prague 2, Czech Republic
b University of Waterloo, Waterloo, Ontario N2L 3G1, Canada


New version of the Rayleigh-Schrödinger perturbation theory based on the linear dependence of the perturbation wavefunctions on the perturbation energies is summarized. It is shown that this method is suitable also for multidimensional problems and the linear dependence can be used at an arbitrary point inside the integration region. The resulting perturbation theory is simple and can be used at large orders. As an example, the method is applied to the Barbanis hamiltonian.

Keywords: Quantum mechanics; Rayleigh-Schrödinger perturbation theory; Wavefunctions; Barbanis hamiltonian.

References: 11 live references.