Discontinuous perturbations |
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Authors: | Ramchander R Sastry John R Klauder |
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Institution: | (1) Department of Physics, University of Florida, 32611 Gainesville, Florida;(2) Department of Mathematies, University of Florida, 32611 Gainesville, Florida |
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Abstract: | Perturbations of quantum systems ranging from oscillators to fields can be either continuous or discontinuous functions of
the coupling. The system under consideration is the familiar harmonic oscillator in one degree of freedom. Previous studies
have shown that when the harmonic oscillator is subjected to a perturbation with a power law singularity, a permanent change
in the system characteristics is observed for a specific range of power law values. The introduction of a logarithmic singularity
into the power law potential fine tunes the singularity power. |
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Keywords: | |
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