Non-Uniqqueness in writing Schrodinger kernel as a functional integral

Abstract

Feynman integrals [13 have become a privileged tool for quantizing a classical system; this is mainly because the functional integral form of a Schrödinger kernel involves directly a classical function, be it lagrangian or hamiltonian. Yet the actual meaning of these integrals, the nature of the quantum systems thus set up and the relation of configuration space to phase space expressions are still a matter of discussion [2]–[4]. Therefore, we think it worthwhile to point out a few results that can be obtained in a consistent though formal study of these subjects.