Abstract
A new method, called the method of self-similar approximations, is applied here for calculating the spectrum of the one-dimensional anharmonic oscillator. The advantage of this method is the possibility of reconstructing any sought function using only two first terms of 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 10{sup -3}. 20 refs.; 2 tabs.
Citation Formats
Yukalova, E P, and Yukalov, V I.
One-dimensional anharmonic oscillator in self- similar approximation.
JINR: N. p.,
1992.
Web.
Yukalova, E P, & Yukalov, V I.
One-dimensional anharmonic oscillator in self- similar approximation.
JINR.
Yukalova, E P, and Yukalov, V I.
1992.
"One-dimensional anharmonic oscillator in self- similar approximation."
JINR.
@misc{etde_10153944,
title = {One-dimensional anharmonic oscillator in self- similar approximation}
author = {Yukalova, E P, and Yukalov, V I}
abstractNote = {A new method, called the method of self-similar approximations, is applied here for calculating the spectrum of the one-dimensional anharmonic oscillator. The advantage of this method is the possibility of reconstructing any sought function using only two first terms of 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 10{sup -3}. 20 refs.; 2 tabs.}
place = {JINR}
year = {1992}
month = {Dec}
}
title = {One-dimensional anharmonic oscillator in self- similar approximation}
author = {Yukalova, E P, and Yukalov, V I}
abstractNote = {A new method, called the method of self-similar approximations, is applied here for calculating the spectrum of the one-dimensional anharmonic oscillator. The advantage of this method is the possibility of reconstructing any sought function using only two first terms of 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 10{sup -3}. 20 refs.; 2 tabs.}
place = {JINR}
year = {1992}
month = {Dec}
}