Geodesic
Induced potential and Klauder phenomenon for even confinement potentials with singularity $\lambda x^{-2}$
Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 1, pp. 45-57 Cet article a éte moissonné depuis la source Math-Net.Ru

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For the example of a one-dimensional oscillator with singular perturbation the occurrence of the strongly singular potential $A(\lambda)\delta(x)|x|^{-1}$ induced by this perturbation is investigated. The appearance of such a potential can be regarded as a generalization of the Klauder phenomenon ($A=\operatorname{const}$). The existence of induced potentials leads to two physically acceptable sets of even states of a perturbed oscillator, but only one of these goes over continuously into the set of even states of the harmonic oscillator when the perturbation is switched off. 
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     title = {Induced potential and {Klauder} phenomenon for even confinement potentials with singularity $\lambda x^{-2}$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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V. B. Gostev; V. S. Mineev; A. R. Frenkin. Induced potential and Klauder phenomenon for even confinement potentials with singularity $\lambda x^{-2}$. Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 1, pp. 45-57. http://geodesic.mathdoc.fr/item/TMF_1986_68_1_a3/

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