6533b873fe1ef96bd12d4bb7
RESEARCH PRODUCT
Scaling property of variational perturbation expansion for a general anharmonic oscillator with xp-potential
Hagen KleinertWolfhard Jankesubject
Perturbation expansionPhysicsVariational perturbation theoryAnharmonicityGeneral Physics and AstronomyPerturbation (astronomy)ScalingEigenvalues and eigenvectorsMathematical physicsdescription
We prove a powerful scaling property for the extremality condition in the recently developed variational perturbation theory which converts divergent perturbation expansions into exponentially fast convergent ones. The proof is given for the energy eigenvalues of an anharmonic oscillator with an arbitrary $x^p$-potential. The scaling property greatly increases the accuracy of the results.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1995-04-01 | Physics Letters A |