Calculation of energy levels with Lennard-Jones, Hyperbolic Cosine and Morse potentials using the matrix and pairing method

Authors

  • Fernando Andino Departamento de Física, Universidad Nacional Autónoma de Honduras en el Valle de Sula
  • Michael Spilsbury Departamento de Física, Universidad Nacional Autónoma de Honduras en el Valle de Sula
  • Marco Reyes Departamento de Física, Universidad Nacional Autónoma de Honduras en el Valle de Sula
  • Alejandro Galo Escuela de Física, Facultad de Ciencias, Universidad Nacional Autónoma de Honduras

DOI:

https://doi.org/10.5377/ref.v8i1.10087

Keywords:

Schrödinger equation, energy levels, matrix method, matching method

Abstract

This work represents an academic exercise in which two numerical methods are compared; the matrix and matching method for the solutions to Schrödinger’s one-dimensional equation with the Lennard-Jones potential, hyperbolic cosine and Morse. With both methods, the energy levels and associated wave functions are obtained with a low error, this from the comparing between the numerically calculated energies with those of hyperbolic cosine potential which are known analytically.

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Published

2020-07-27

How to Cite

Andino, F., Spilsbury, M., Reyes, M., & Galo, A. (2020). Calculation of energy levels with Lennard-Jones, Hyperbolic Cosine and Morse potentials using the matrix and pairing method. Revista De La Escuela De Física, 8(1), 31–43. https://doi.org/10.5377/ref.v8i1.10087

Issue

Vol. 8 No. 1 (2020)

Section

Investigation

License

© Revista de la Escuela de Física