2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/55864Several quantum mechanical wave equations for $p$-branes are proposed based on the role that the volume-preserving diffeomorphisms group has on the physics of extended objects. The $p$-brane quantum mechanical wave equations determine the quantum dynamics involving the creation/destruction of $p$-branes in a $D$ dimensional spacetime background with a given world-volume measure configuration in a given quantum state $Ψ$.8 pages, revised Tex fileHigh Energy Physics - Theorytext