Path Integration for the Plane Pendulum with Finite Amplitude

Exact path integration for the one dimensional potential V = b 2 cos 2q which describes the finite amplitude pendulum is presented. 1. Introduction In last two decades almost all of the quantum mechanical potential problems which are solvable by the Schrödinger equation method have also been solved by path integrals [1]. In this note we add the finite amplitude plane pendulum potential V (q) = b 2 cos 2q to the list of the exact path integral solutions.