Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators

Francisco Marcelo Fernández, Javier Garcia

Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators

Číslo: 6/2017
Periodikum: Acta Polytechnica
DOI: 10.14311/AP.2017.57.0391

Klíčová slova: anharmonic oscillators, bound states, resonances, Riccati-Padé method, WKB asymptotic expression, anharmonické oscilátory, vázané stavy, rezonance, metoda Riccati-Padé, asymptotický výraz WKB

Pro získání musíte mít účet v Citace PRO.

Přečíst po přihlášení

Anotace: 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.