The regulated four parameter one dimensional point interaction

Details The regulated four parameter one dimensional point interaction The regulated four parameter one dimensional point interaction

1995-11-02

arxiv.org/abs/hep-th/9511010v1

J.Phys.A29:6073-6086,1996

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, no figures, Tex file

Scientific paper

10.1088/0305-4470/29/18/033

The general four parameter point interaction in one dimensional quantum mechanics is regulated. It allows the exact solution, but not the perturbative one. We conjecture that this is due to the interaction not being asymptotically free. We then propose a different breakup of unperturbed theory and interaction, which now is asymptotically free but leads to the same physics. The corresponding regulated potential can be solved both exactly and perturbatively, in agreement with the conjecture.

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