How to do the time sliced path integral of the H atom |
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| Affiliation: | 1. Department of Chemistry, Dalhousie University, Halifax, Nova Scotia, Canada B3H 4J3;2. Department of Life and Health Sciences, University of Nicosia, 46 Makedonitissas Ave., P.O. Box 24005, 1700 Nicosia, Cyprus;1. Universidade Federal do Espírito Santo, Vitória, 29075-910, ES, Brazil;2. ISMO, UMR 8214 CNRS, Univ Paris-Sud, 91405 Orsay, France;3. Laboratoire APC, UMR 7164, Univ Paris Diderot, Sorbonne Paris-Cité 75205 Paris, France;4. Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud 150, 22290-180 - Rio de Janeiro, RJ, Brazil |
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| Abstract: | In response to criticism concerning the formal nature of the Duru-Kleinert transformation of the path integral of the H atom, we perform this transformation explicitly in the time sliced form and arrive, of course, at the desired product of gaussian factors which yield the harmonic oscillator. We also point out where previous attempts to do the same thing went wrong. |
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