Scaling property of variational perturbation expansion for general anharmonic oscillator

Details Scaling property of variational perturbation expansion for general anharmonic oscillator Scaling property of variational perturbation expansion for general anharmonic oscillator

1995-02-19

arxiv.org/abs/quant-ph/9502018v1

Phys. Lett. A199 (1995) 287

Physics

Quantum Physics

Scientific paper

10.1016/0375-9601(95)00126-N

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.

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