B. Rath, CONSTRUCTION OF A CONVERGENT PERTURBATION-THEORY - CASE-STUDY OF THE ANHARMONIC-OSCILLATOR GROUND-STATE ENERGY, Journal of the Physical Society of Japan, 66(12), 1997, pp. 3693-3695
A systematic procedure for constructing a convergent perturbation theo
ry is developed. This procedure can be used to calculate energy levels
as well as wave functions. As an example of this, it has been applied
to an anharmonic oscillator ground state with a strong coupling limit
as well as a weak coupling limit.