Browsing by Author "Lawson, L.M."

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    Path integral in position-deformed Heisenberg algebra with maximal length uncertainty
    (Annals of Physics, 2023) Lawson, L.M.; Osei, P.K.; Sodoga, K.; Soglohu, F.
    In this work, we study the path integral in a position-deformed Heisenberg algebra with quadratic deformation which imple ments both minimal momentum and maximal length uncer tainties. We construct propagators of path integrals within this deformed algebra using the position space representation on the one hand and the Fourier transform and its inverse representa tions on the other. The result is remarkably similar to the one obtained by Pramanik (2022) from the Perivolaropoulos’s de formed algebra (Perivolaropoulos, 2017). Then, the propagators and the corresponding actions of a free particle and a simple harmonic oscillator are discussed as examples. We also show that the actions which describe the classical trajectories of both systems are bounded by the ordinary ones of classical mechanics due to the existence of this maximal length. Consequently, par ticles of these systems travel faster from one point to another with low kinetic and mechanical energies.