Highly accurate calculation of the resonances in the Stark effect in hydrogen

Francisco M. Fernández and Javier Garcia

Applied Mathematics and Computation, 2018, vol. 317, issue C, 101-108

Abstract: We obtained accurate resonances for the Stark effect in hydrogen by means of three independent methods. Two of them are based on complex rotation of the coordinates and diagonalization of the Hamiltonian matrix (CRLM and CRCH). The other one is based on the Riccati equations for the logarithmic derivatives of factors of the wavefunction (RPM). The latter approach enabled us to obtain the most accurate results and extremely sharp resonances.

Keywords: Stark effect; Resonances; Complex rotation; Riccati–Padé method; Accurate eigenvalues; Metastable states (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:317:y:2018:i:c:p:101-108

DOI: 10.1016/j.amc.2017.08.050

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