p-Brane Quantum Mechanical Wave Equations

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 $\Psi$.

8 pages, revised Tex file

References in corpus (4)

• From the DeDonder-Weyl Hamiltonian formalism to quantization of Gravity
• The Dirac-Nambu-Goto p-Branes as Particular Solutions to a Generalized, Unconstrained Theory
• Polydimensional Relativity, a Classical Generalization of the Automorphism Invariance Principle
• The Spinning Membrane and Skyrmions Revisited

Cited by in corpus (4)

• Higher Derivative Gravity and Torsion from the Geometry of C-spaces
• Quenched, Minisuperspace, Bosonic p-brane Propagator
• The status and programs of the New Relativity Theory
• Precanonical quantization and the Schrödinger wave functional revisited