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

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 $\beta$. The application of it in the early universe stage is briefly discussed.

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