Numerical quantum evolution of confined particle with non-periodic boundary conditions through split operator method reconstructed by Gegenbauer series

Authors

  • Karen G. Ramirez National Institute of Physics, University of the Philippines Diliman
  • Eric A. Galapon National Institute of Physics, University of the Philippines Diliman

Abstract

The computation of the quantum evolution of a spatially confined particle with non-periodic boundary conditions is considered. The operator split method is used to evolve the eigenfunctions. This involves two fourier reconstruction and manifests Gibbs phenomenon under non-periodic boundary condition. The split operator method is reconstructed through Gegenbauer series. It is shown that Gegenbauer reconstruction minimizes the manifestations of Gibbs phenomenon.

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Published

2006-10-25

How to Cite

[1]
KG Ramirez and EA Galapon, Numerical quantum evolution of confined particle with non-periodic boundary conditions through split operator method reconstructed by Gegenbauer series, Proceedings of the Samahang Pisika ng Pilipinas 24, SPP-2006-PR-06 (2006). URL: https://proceedings.spp-online.org/article/view/SPP-2006-PR-06.