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arxiv: 0802.1483 · v2 · submitted 2008-02-11 · 🧮 math-ph · math.MP

Accurate eigenvalues of bounded oscillators

classification 🧮 math-ph math.MP
keywords eigenvaluesaccurateboundedapproachapproximationbelowcalculateconvergence
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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.

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