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- W3099400435 abstract "Harrell’s modified perturbation theory [Ann. Phys. (N.Y.) 105, 379 (1977)] is applied and extended to obtain nonpower perturbation expansions for a class of singular Hamiltonians H=−(d2/dx2)+x2+(A/x2)+(λ/xα) (A⩾0,α>2), known as generalized spiked harmonic oscillators. The perturbation expansions developed here are valid for small values of the coupling λ>0, and they extend the results which Harrell obtained for the spiked harmonic oscillator A=0. Formulas for the excited states are also developed." @default.
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- W3099400435 date "2003-10-21" @default.
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- W3099400435 title "Perturbation expansions for a class of singular potentials" @default.
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