Non-Fuchsian Singularities in Quantum Mechanics

Details Non-Fuchsian Singularities in Quantum Mechanics Non-Fuchsian Singularities in Quantum Mechanics

1999-01-02

arxiv.org/abs/quant-ph/9901002v4

Found.Phys.Lett. 13 (2000) 29-40

Physics

Quantum Physics

12 pages, plain Tex. In the final version, sections 2 and 3 are entirely new

Scientific paper

A modification of the spiked harmonic oscillator is studied in the case for which the perturbation potential contains both an inverse power and a linear term. It is then possible to evaluate trial functions by solving an integral equation due to the occurrence of the linear term. The general form of such integral equation is obtained by using a Green-function method, and adding a modified Bessel function of second kind which solves an homogeneous problem with Dirichlet boundary condition at the origin.

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