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Wiener path integrals and the fundamental solution for the Heisenberg Laplacian

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Abstract

In this paper, we present an explicit calculation of the heat kernel, fundamental solution and Schwartz kernel of the resolvent for the Heisenberg Laplacian using Wiener path integrals and their realizations via the Trotter product formula. This also gives another derivation of mehler’s formula.

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Authors and Affiliations

  1. Department of Mathematics, University of Toronto, M5S 3G3, Toronto, Ontario, Canada

    Wolfgang Staubach

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  1. Wolfgang Staubach
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Staubach, W. Wiener path integrals and the fundamental solution for the Heisenberg Laplacian. J. Anal. Math. 91, 389–400 (2003). https://doi.org/10.1007/BF02788796

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  • DOI: https://doi.org/10.1007/BF02788796

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