Abstract
We review a variety of recently obtained trace formulae for (multidimensional) Schrödinger operators and indicate their connections with the KdV hierarchy in one dimension. Our principal new result in this paper concerns a set of trace formulae in 1 ⩽d ⩽ 3 dimensions related to point interactions.
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Gesztesy, F., Holden, H. On new trace formulae for Schrödinger operators. Acta Appl Math 39, 315–333 (1995). https://doi.org/10.1007/BF00994640
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DOI: https://doi.org/10.1007/BF00994640