Accurate eigenvalues of bounded oscillators

Details Accurate eigenvalues of bounded oscillators Accurate eigenvalues of bounded oscillators

2008-02-11

arxiv.org/abs/0802.1483v2

Physics

Mathematical Physics

Scientific paper

10.1088/0031-8949/78/01/015003

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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