Accurate eigenvalues of bounded oscillators

DOI10.1088/0031-8949/78/01/015003zbMATH Open1144.81451arXiv0802.1483OpenAlexW2950818840MaRDI QIDQ3519070

Francisco M. Fernández

Publication date: 13 August 2008

Published in: Physica Scripta (Search for Journal in Brave)

Abstract: We calculate accurate eigenvalues of a bounded oscillator by means of the Riccati--Pad'e method that is based on a rational approximation to a regularized logarithmic derivative of the wavefunction. Sequences of roots of Hankel determinants approach the model eigenvalues from below with remarkable convergence rate.

Full work available at URL: https://arxiv.org/abs/0802.1483

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

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