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GUP and Point Interaction

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arxiv 2001.02850 v2 pith:K2JU3WOQ submitted 2020-01-09 quant-ph hep-th

DaeKil Park , Eylee Jung This is my paper · ORCID
classification quant-phhep-th
keywords mechanicsquantumapproachesdelta-dingerexaminedfeynmanfirst
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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 Schr\"{o}dinger and Feynman's path-integral approaches are inequivalent at the first order of GUP parameter.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis

    gr-qc 2024-11 reject novelty 4.0 of 10

    A higher-order GUP is fitted to BBN abundances, but arithmetic errors invalidate the reported parameter bounds.

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