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A study of periodic potentials based on quadratic splines

Author

Listed:
  • M. Gadella

    (Departamento de Física Teórica, Atómica y Optica and IMUVA, Universidad de Valladolid, Valladolid 47011, Spain)

  • L. P. Lara

    (#x2020;Universidad Nacional de Rosario and IFIR, Rosario S2000CG, Argentina)

Abstract

In this paper, we discuss a method based on a segmentary approximation of solutions of the Schrödinger equation by quadratic splines, for which the coefficients are determined by a variational method that does not require the resolution of complicated algebraic equations. The idea is the application of the method to one-dimensional periodic potentials. We include the determination of the eigenvalues up to a given level, and therefore an approximation to the lowest energy bands. We apply the method to concrete examples with interest in physics and discussed the numerical errors.

Suggested Citation

  • M. Gadella & L. P. Lara, 2018. "A study of periodic potentials based on quadratic splines," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 29(08), pages 1-18, August.
    • Handle: RePEc:wsi:ijmpcx:v:29:y:2018:i:08:n:s0129183118500675
    DOI: 10.1142/S0129183118500675
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