Wiener path integrals and the fundamental solution for the Heisenberg Laplacian |
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Authors: | Wolfgang Staubach |
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Institution: | (1) Department of Mathematics, University of Toronto, M5S 3G3 Toronto, Ontario, Canada |
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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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Keywords: | |
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