Europhys. Lett.
Volume 70, Number 4, May 2005
Page(s) 425 - 431
Section General
Published online 13 April 2005
Europhys. Lett., 70 (4), pp. 425-431 (2005)
DOI: 10.1209/epl/i2005-10017-3

The period of a classical oscillator

P. Amore and R. A. Sáenz

Facultad de Ciencias, Universidad de Colima Bernal Díaz del Castillo 340, Colima, Colima, Mexico 28045

received 12 January 2005; accepted in final form 23 March 2005
published online 13 April 2005

We develop a simple method to obtain approximate analytical expressions for the period of a particle moving in a given potential. The method is inspired to the Linear Delta Expansion (LDE) and it is applied to a large class of potentials. Precise formulas for the period are obtained.

02.30.Mv - Approximations and expansions.
11.15.Bt - General properties of perturbation theory.
11.15.Tk - Other nonperturbative techniques.

© EDP Sciences 2005