HIGHLY ACCURATE CALCULATION OF THE REAL AND COMPLEX EIGENVALUES OF ONE-DIMENSIONAL ANHARMONIC OSCILLATORS

Authors

  • Francisco Marcelo Fernández INIFTA (UNLP, CCT La Plata-CONICET), Blvd. 113 S/N, Sucursal 4, Casilla de Correo 16, 1900 La Plata, Argentina
  • Javier Garcia

DOI:

https://doi.org/10.14311/AP.2017.57.0391

Keywords:

anharmonic oscillators, bound states, resonances, Riccati-Padé method, WKB asymptotic expression

Abstract

We draw attention on the fact that the Riccati-Padé method developed some time ago enables the accurate calculation of bound-state eigenvalues as well as of resonances embedded either in the continuum or in the discrete spectrum. We apply the approach to several one-dimensional models that exhibit different kind of spectra. In particular we test a WKB formula for the imaginary part of the resonance in the discrete spectrum of a three-well potential.

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Published

2017-12-30

Issue

Vol. 57 No. 6 (2017)

Section

Articles

How to Cite

Fernández, F. M., & Garcia, J. (2017). HIGHLY ACCURATE CALCULATION OF THE REAL AND COMPLEX EIGENVALUES OF ONE-DIMENSIONAL ANHARMONIC OSCILLATORS. Acta Polytechnica, 57(6), 391-398. https://doi.org/10.14311/AP.2017.57.0391
Received 2017-07-10
Accepted 2017-07-10
Published 2017-12-30