An Introduction into the Feynman Path Integral

Abstract

In this lecture a short introduction is given into the theory of the Feynman path integral in quantum mechanics. The general formulation in Riemann spaces will be given based on the Weyl- ordering prescription, respectively product ordering prescription, in the quantum Hamiltonian. Also, the theory of space-time transformations and separation of variables will be outlined. As elementary examples I discuss the usual harmonic oscillator, the radial harmonic oscillator, and the Coulomb potential. Lecture given at the graduate college ''Quantenfeldtheorie und deren Anwendung in der Elementarteilchen- und Festkörperphysik'', Universität Leipzig, 16-26 November 1992.

92 pages, amstex, Leipzig University preprint NTZ Nr.29/92

Cited by in corpus (10)

• Quantization Methods: A Guide for Physicists and Analysts
• Bohmian trajectories and the Path Integral Paradigm. Complexified Lagrangian Mechanics
• The path integral representation kernel of evolution operator in Merton-Garman model
• "Quantization is a mystery"
• A Comment on the Propagator of the Radial Oscillator
• N-slit interference: Path integrals, Bohmian trajectories
• Supersymmetric Quantum Mechanics and Path Integrals
• The Jacobi principal function in Quantum Mechanics
• Feynman's Path Integral to Ostrogradsky's Hamiltonian for Lagrangians with second derivatives
• Some remarks on history and pre-history of Feynman path integral