Accurate eigenvalues of bounded oscillators

We calculate accurate eigenvalues of a bounded oscillator by means of the Riccati–Pade 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 a remarkable c...

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Autor principal: Fernández, Francisco Marcelo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2008
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/129652
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Sumario:We calculate accurate eigenvalues of a bounded oscillator by means of the Riccati–Pade 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 a remarkable convergence rate.