Extension of an iterative method to obtain low-lying eigenstates of unbounded Hermitian operators

Katharina Kreuzer, H. G. Miller, R. M. Dreizler, W.A. Berger · Journal of Physics A Mathematical and General · 1980

An iterative method which determines the low-lying eigenvalues of a Hermitian operator defined in a finite-dimensional vector space is extended to a specific type of unbounded Hermitian operator defined in a Hilbert space. As an illustrative numerical example the extended algorithm has been applied to the quantum mechanical harmonic oscillator problem.

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