An Introduction into the Feynman Path Integral

Details An Introduction into the Feynman Path Integral An Introduction into the Feynman Path Integral

1993-02-20

arxiv.org/abs/hep-th/9302097v1

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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 Festk\"orperphysik'', Universit\"at Leipzig, 16-26 November 1992.

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