Cubication schemes for relativistic simple harmonic oscillator

Authors

Daniel Francisco Marquez ⋅ PH National Institute of Physics, University of the Philippines Diliman
Jose Perico Henson Esguerra ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

The angular frequency and position of the relativistic simple harmonic oscillator (RSHO) are approximated using cubication schemes based on truncated Taylor series, Type 1 Chebyshev series, Type 2 Chebyshev series, and the least squares method. Approximate analytic expressions involving Jacobi elliptic functions for the position of the RSHO were obtained. We found that among the four cubication schemes, the Type 1 Chebyshev cubication has the widest range of velocity parameter β_max for which relative errors do not exceed 1% and 5%.

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Issue

2017: Proceedings of the 35th Samahang Pisika ng Pilipinas Physics Conference

Article ID

SPP-2017-PB-11

Section

Poster Session B (Complex Systems, Simulations, and Theoretical Physics)

Published

2017-05-09

How to Cite

[1]

DF Marquez and JPH Esguerra, Cubication schemes for relativistic simple harmonic oscillator, Proceedings of the Samahang Pisika ng Pilipinas 35, SPP-2017-PB-11 (2017). URL: https://proceedings.spp-online.org/article/view/SPP-2017-PB-11.