An alternative derivation of the Fern\'andez-Castro analytic approximate expression for the eigenvalues of the bounded quartic oscillator

Autor:	Adegoke, Kunle, Olatinwo, Adenike, Olunloyo, Gbenga
Rok vydání:	2017
Předmět:	Quantum Physics
Druh dokumentu:	Working Paper
Popis:	In this note we show that the standard \mbox{Rayleigh-Schr\"odinger} (RS) perturbation method gives the same result as the hypervirial pertubative method (HPM), for an approximate analytic expression for the energy eigenvalues of the bounded quartic oscillator. This connection between the HPM and the RS method went unnoticed for a long time, apparently because it was not obvious that the resulting polygamma sums to be evaluated in the RS method could, in fact, be expressed in closed form.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1702.01116 Zobrazit plný text záznamu View this record from Arxiv