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- W2806562009 abstract "The regularized trace of the heat kernel of a one-dimensional Schrodinger operator with a singular two-particle contact interaction being of Lieb-Liniger type is considered. We derive a complete small-time asymptotic expansion in (fractional) powers of the time, t. Most importantly, we do not invoke standard parametrix constructions for the heat kernel. Instead, we first derive the large-energy expansion of the regularized trace of the resolvent for the considered operator. Then, we exploit that the resolvent may be obtained by a Laplace transformation of the heat semi-group, and an application of a suitable inverse Watson lemma eventually delivers the small-t asymptotic expansion of the heat-kernel trace." @default.
- W2806562009 created "2018-06-13" @default.
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- W2806562009 date "2020-01-01" @default.
- W2806562009 modified "2023-09-23" @default.
- W2806562009 title "An Asymptotic Expansion of the Trace of the Heat Kernel of a Singular Two-particle Contact Interaction in One-dimension" @default.
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- W2806562009 doi "https://doi.org/10.1007/978-3-030-44097-8_6" @default.
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