Convergent Iteration Method For The Anharmonic Oscillator Schrodinger Eigenvalue Problem. Ii: Application And Non-Uniqueness Of Green Function

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN(2012)

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摘要
In the preceding paper, we have proposed a new method for solving the Schrodinger eigenvalue problem, which gives an iteration procedure convergent for a harmonic oscillator with the lambda x(4)-perturbation irrespective of the magnitude of lambda > 0, in contrast to the perturbation and the WKB methods giving divergent series however small lambda may be. In this paper we shall show that the method gives convergent result for a wider class of potentials and present an interesting feature that the Green function to be used for the iteration is not unique and the rate of the convergence of the iteration varies depending on the choice of the Green function.
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关键词
Schrodinger eigenvalue problem, approximation method, Liouville transformation, convergent iteration, x(2 mu)-potential, non-uniqueness of Green function
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