Part of the D - dimensional Spiked harmonic oscillator spectra

Details Part of the D - dimensional Spiked harmonic oscillator spectra Part of the D - dimensional Spiked harmonic oscillator spectra

2000-06-06

arxiv.org/abs/math-ph/0006004v1

J. Phys. A: Math. Gen. 33, 5207 (2000)

Physics

Mathematical Physics

Latex file, 20 pages, to appear in J. Phys. A: Math. & Gen

Scientific paper

10.1088/0305-4470/33/29/305

The pseudoperturbative shifted - l expansion technique PSLET [5,20] is generalized for states with arbitrary number of nodal zeros. Interdimensional degeneracies, emerging from the isomorphism between angular momentum and dimensionality of the central force Schrodinger equation, are used to construct part of the D - dimensional spiked harmonic oscillator bound - states. PSLET results are found to compare excellenly with those from direct numerical integration and generalized variational methods [1,2].

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