LARGE-ORDER PERTURBATION EXPANSIONS FOR THE CHARGED HARMONIC-OSCILLATOR
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Data
1992-12-07
Autores
Aguileranavarro, V. C.
Fernandez, F. M.
Guardiola, R.
Ros, J.
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Iop Publishing Ltd
Resumo
The charged oscillator, defined by the Hamiltonian H = -d2/dr2+ r2 + lambda/r in the domain [0, infinity], is a particular case of the family of spiked oscillators, which does not behave as a supersingular Hamiltonian. This problem is analysed around the three regions lambda --> infinity, lambda --> 0 and lambda --> -infinity by using Rayleigh-Ritz large-order perturbative expansions. A path is found to connect the large lambda regions with the small lambda region by means of the renormalization of the series expansions in lambda. Finally, the Riccati-Pade method is used to construct an implicit expansion around lambda --> 0 which extends to very large values of Absolute value of lambda.
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Journal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 25, n. 23, p. 6379-6392, 1992.