Renormalised perturbation series

1 May 1981

journal article
Published by IOP Publishing in Journal of Physics A: General Physics

Vol. 14 (5) , 1005-1008
https://doi.org/10.1088/0305-4470/14/5/020

Abstract

Renormalised perturbation series are obtained directly (by the hypervirial method) for the perturbed oscillator and hydrogen atom, and indirectly (by series transformation) for the helium atom.

Keywords

This publication has 10 references indexed in Scilit:

Perturbation theory and Padé approximants for a hydrogen atom in an electric field
Molecular Physics, 1980
A possible application of commutators in stationary perturbation theory
Journal of Physics A: General Physics, 1980
Accurate energy levels for the anharmonic oscillator and a summable series for the double-well potential in perturbation theory
Annals of Physics, 1979
New Approach to Perturbation Theory
Physical Review Letters, 1979
Perturbation theory without wavefunctions
Physics Letters A, 1978
Quantum-mechanical perturbation theory
Reports on Progress in Physics, 1977
Hypervirial and Hellmann-Feynman Theorems Applied to Anharmonic Oscillators
The Journal of Chemical Physics, 1972
Coupling constant analyticity for the anharmonic oscillator
Annals of Physics, 1970
Transformation of perturbation series into continued fractions, with application to an anharmonic oscillator
International Journal of Quantum Chemistry, 1967
Perturbation-Theory Expansions Through 21st Order of the Nonrelativistic Energies of the Two-Electron Systems ${(2 p)}^{2} {}^{3}P$ and ${(1 s)}^{2} {}^{1}S$
Physical Review B, 1965