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

FRANCISCO M FERNÁNDEZ; JAVIER GARCIA

Acta polytechnica

Czech Technical University in Prague

Lugar: Praga; Año: 2017 vol. 57 p. 391 - 398

1210-2709

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