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 a homogeneous problem with Dirichlet boundary condition at the origin.
NonFuchsian singularities in quantum mechanics / Esposito, G. - In: FOUNDATIONS OF PHYSICS LETTERS. - ISSN 0894-9875. - 13:1(2000), pp. 29-40. [10.1023/a:1007765418783]
NonFuchsian singularities in quantum mechanics
ESPOSITO GPrimo
2000
Abstract
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 a homogeneous problem with Dirichlet boundary condition at the origin.| File | Dimensione | Formato | |
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