document: The Hamiltonian approach and the variational approach are utilized to treat the relativistic harmonic oscillator for the amplitude-frequency relationship. The nice reliability is shown by the result comparison with that from open literature. The simplicity and efficiency of the methods are also disclosed for different range of the initial amplitude during looking for the amplitude-frequency relationship for the nonlinear relativistic harmonic oscillator.
doc_bio_tags: O B I O O B I O O O O O B I I O O O O O O O O O O O B I O O O B I O O O O O O O O O O O O O O O B I O O O O O O O O B I I I
extractive_keyphrases: hamiltonian approach initial amplitude nonlinear relativistic harmonic oscillator open literature relativistic harmonic oscillator result comparison variational approach
abstractive_keyphrases: amplitude-frequency relationship treat the relativistic harmonic oscillator