p-Brane Quantum Mechanical Wave Equations

TL;DR

This paper proposes quantum mechanical wave equations for p-branes, capturing their quantum dynamics and interactions within a D-dimensional spacetime, emphasizing the role of volume-preserving diffeomorphisms.

Contribution

It introduces novel p-brane quantum wave equations based on volume-preserving diffeomorphisms, advancing the understanding of extended object quantum dynamics.

Findings

Wave equations describe p-brane creation and destruction.

Framework incorporates background spacetime and world-volume measures.

Enhances modeling of p-brane quantum behavior.

Abstract

Several 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 $\Psi$.