Eigenvalues from power--series expansions: an alternative approach

Details Eigenvalues from power--series expansions: an alternative approach Eigenvalues from power--series expansions: an alternative approach

2008-12-09

arxiv.org/abs/0812.1771v1

Physics

Mathematical Physics

Scientific paper

10.1088/1751-8113/42/7/075201

An appropriate rational approximation to the eigenfunction of the Schr\"{o}dinger equation for anharmonic oscillators enables one to obtain the eigenvalue accurately as the limit of a sequence of roots of Hankel determinants. The convergence rate of this approach is greater than that for a well--established method based on a power--series expansions weighted by a Gaussian factor with an adjustable parameter (the so--called Hill--determinant method).

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