2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/92831An impact of integration over the paths of the Levy flights on the quantum mechanical kernel has been studied. Analytical expression for a free particle kernel has been obtained in terms of the Fox H-function. A new equation for the kernel of a partical in the box has been found. New general results include the well known quantum formulae for a free particle kernel and particle in box kernel.30 pages, 1 figureQuantum Physicstext