Volume 10 Issue 2
The Variational Approach Coupled with an Ancient Chinese Mathematical Method to the Relativistic Oscillator
Lin-Hong Zhou andJ.H. He
1Faculty of applied mathematics, Shanghai University of Finance and Economics, Yangpu 200433, Shanghai, China
2National Engineering Laboratory of Modern Silk, Soochow University, No. 1, Shizi Street, Suzhou 215006, China
*Authors to whom correspondence should be addressed.
Abstract
This paper applies the variational approach to the relativistic oscillator. In order to effectively deal with the irrational term, an ancient Chinese mathematics is introduced. Comparison of the obtained result with the numerical one elucidates the efficiency of the present treatment.
Keywords: Variational principle; nonlinear oscillator; He Chengtian’s interpolation; homotopy