Title: Quantum mechanics from an equivalence principle

Abstract: In the past few years a derivation of quantum mechanics from an equivalence principle was obtained. The project would entail applying the new formalism to text book quantum mechanics problems and possibly continue its development.

Some References:

[hep-th/9909201] ----G. Bertoldi, AEF and M. Matone, Equivalence Principle, Higher Dimensional Moebius Group and the Hidden Antisymmetric Tensor of Quantum Mechanics

[hep-th/9809127] ----AEF and M. Matone, The Equivalence Postulate of Quantum Mechanics

[hep-th/9705108] ----AEF and M. Matone, Quantum Mechanics from an Equivalence Principle

The first reference is very extensive, but you will not need most of it. The second reference is also not relevant for the project. The third reference may look daunting, but it really only requires basic undergraduate calculus.