Accurate calculation of the complex eigenvalues of the Schrödinger equation with an exponential potential

2007/12/20 by Paolo Amore, Francisco M. Fernández, Francisco M. Fernandez · 1 citation
Mathematics · Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #math-ph #math.MP

paper · pdf · doi:10.1016/j.physleta.2008.01.053

arxiv created 2007/12/20 · openalex publication_date 2008/02/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the Riccati--Padé method is suitable for the calculation of the complex eigenvalues of the Schrödinger equation with a repulsive exponential potential. The accuracy of the results is remarkable for realistic potential parameters.

Cited by

• Asymptotic Estimation for Eigenvalues in the Exponential Potential and for Zeros of K iν (z) with Respect to Order