Analytic approximants for the energy eigenvalues of anharmonic potentials

  • Pablo Martín Universidad Simón Bolívar-Venezuela
  • Enrique Castro Universidad Simón Bolívar-Venezuela
  • José Luis Paz Universidad Simón Bolívar-Venezuela
Palabras clave: anharmonic potentials, quasirational approximations

Resumen

A technique is presented that allows to obtain analytic approximations for the energy eigenvalues of the one-dimensional Schr í¶dinger equation with anharmonic potentials. This technique is based on an original way of obtaining perturbative expansions, together with the used of quasi-rational approximants found from these expansions at various points. The technique is applied explicitly to the ground state of the quartic anharmonic oscillator.

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Publicado
2014-11-10
Cómo citar
Martín, P., Castro, E., & Paz, J. L. (2014). Analytic approximants for the energy eigenvalues of anharmonic potentials. Ciencia, 21(2). Recuperado a partir de https://produccioncientificaluz.org/index.php/ciencia/article/view/18718
Sección
Física/Physical