Canonical transformation in the path integral and the operator formalism
A general framework of canonical transformations in the path integral is presented under the guidance of classical mechanics. The master equation is given in terms of the difference instead of the differential in classical mechanics. In the case of infinitesimal transformations the operator counterpart is found to be a PQ-ordered form of the classical generator. A path integral formula for polar coordinates is also discussed to be understood as a faithful representation of the Schrödinger equation.
scientific article; zbMATH DE number 4050607