Bulg. J. Phys. vol.19 no.3-4 (1992), pp. 012-023

One-Dimensional Anharmonic Oscillator in Self-Similar Approximation

E.P. Yukalova, V.I. Yukalov
Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, P.O.B. 79, Dubna, Russia
Abstract. A new method called the method of self-similar approximations is applied here for calculating the spectrum of one-dimensional anharmonic oscillator. The advantage of this method is the possibility of reconstructing any sought function using only two first terms of the perturbation theory. Notwithstanding such a limited information, the whole spectrum of the anharmonic oscillator can be found with a very good accuracy for all energy levels and all anharmonicity constants with the maximal error of an order of 10-3.

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