Quantum Properties of a New Class of Path Equations in Ap-geometry

In a previous work, it is shown that a set of path equations,in Absolute Parallelism (AP) geometry, is naturally quantized. Generalizing the Lagrangian used in that work, by inserting a term containing the basic vector of the AP-geometry, we have obtained a new class of path equations with a geometric term similar to Lorentz force term. The new class of path equations is still preserving the quantum features appeared in the old set. In the present work, such features are extended to a new geometric term, which may give rise to Aharonov-Bohm effect.