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Application of the Asymptotic Taylor Expansion Method to Bistable Potentials

Author

Listed:
  • Okan Ozer
  • Halide Koklu
  • Serap Resitoglu

Abstract

A recent method called asymptotic Taylor expansion (ATEM) is applied to determine the analytical expression for eigenfunctions and numerical results for eigenvalues of the Schrödinger equation for the bistable potentials. Optimal truncation of the Taylor series gives a best possible analytical expression for eigenfunctions and numerical results for eigenvalues. It is shown that the results are obtained by a simple algorithm constructed for a computer system using symbolic or numerical calculation. It is observed that ATEM produces excellent results consistent with the existing literature.

Suggested Citation

  • Okan Ozer & Halide Koklu & Serap Resitoglu, 2013. "Application of the Asymptotic Taylor Expansion Method to Bistable Potentials," Advances in Mathematical Physics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlamp:v:2013:y:2013:i:1:n:239254
    DOI: 10.1155/2013/239254
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    References listed on IDEAS

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    1. Borges, G.R.P. & Filho, Elso Drigo & Ricotta, R.M., 2010. "Variational supersymmetric approach to evaluate Fokker–Planck probability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(18), pages 3892-3899.
    2. So, F. & Liu, K.L., 2000. "A study of the Fokker–Planck equation of bistable systems by the method of state-dependent diagonalization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 277(3), pages 335-348.
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