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Feynman Propagator of the Arthurs-Kelly system at the Planck Scale

Quantum Physics 2025-03-14 v1 High Energy Physics - Theory

Abstract

The non-relativistic quantum mechanics with a generalized uncertainty principle (GUP) is examined in the Arthurs-Kelly system. The Feynman propagator for this system is exactly derived within the first order of the GUP parameter β\beta. The application of it in the early universe stage is briefly discussed.

Keywords

Cite

@article{arxiv.2503.09111,
  title  = {Feynman Propagator of the Arthurs-Kelly system at the Planck Scale},
  author = {Mi-Ra Hwang and Eylee Jung and MuSeong Kim and DaeKil Park},
  journal= {arXiv preprint arXiv:2503.09111},
  year   = {2025}
}

Comments

15 pages, no figure. arXiv admin note: text overlap with arXiv:2403.17429