GUP and Point Interaction

Abstract

The non-relativistic quantum mechanics with the generalized uncertainty principle (GUP) is examined when the potential is one-dimensional $\delta -$function. It is shown that unlike usual quantum mechanics, the Schrödinger and Feynman's path-integral approaches are inequivalent at the first order of GUP parameter.

arXiv comment9 pages, no figure V2: will appear in PRD

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