Exact classical limit of quantum mechanics: Noncentral potentials and Ermakov-type invariants - art. no. 022102

摘要

Two-dimensional noncentral potentials are derived in the exact classical limit of quantum mechanics where the quantum correction to the classical Hamilton-Jacobi equation is canceled. It is then shown explicitly that there exist Ermakov-type invariants I for a large class of such potentials. Some of the invariants are found to be positive definite, I>0, and for the other, we have found I=0. [References: 41]