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PATH INTEGRALS IN GENERAL COORDINATE SYSTEMS

      https://doi.org/10.1142/9789814439435_0004Cited by:0 (Source: Crossref)
      Abstract:

      The following sections are included:

      • Introduction

      • Path Integrals in Polar Coordinates

        • Polar coordinates in two-dimensions

        • Polar coordinates in three dimensions

        • Generalization to d-dimensional polar coordinates

      • Examples of Explicit Evaluation

        • Free particle propagator

        • Rotor in d-dimensions

        • Central potentials

        • Non-spherically symmetric potentials

      • Path Integration in General Curved Spaces

        • Quantization of classical Hamiltonian

        • Derivation of a path integral

      • Notes and References