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Heat Kernel Coefficients for Two-Dimensional Schrödinger Operators

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Abstract

In this note, we compute the Hadamard coefficients of algebraically integrable Schrödinger operators in two dimensions. These operators first appeared in [BL] and [B] in connection with Huygens’ principle, and our result completes, in a sense, the investigation initiated in those papers.

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Authors and Affiliations

  1. Department of Mathematics, Cornell University, Ithaca, NY, 14853-4201, USA

    Yuri Berest

  2. Department of Mathematics, Yale University, New Haven, CT, 06520, USA

    Tim Cramer

  3. Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109-1043, USA

    Farkhod Eshmatov

Authors
  1. Yuri Berest
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  2. Tim Cramer
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  3. Farkhod Eshmatov
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Corresponding author

Correspondence to Yuri Berest.

Additional information

Communicated by L. Takhtajan

Berest’s work partially supported by NSF grant DMS 04-07502.

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Berest, Y., Cramer, T. & Eshmatov, F. Heat Kernel Coefficients for Two-Dimensional Schrödinger Operators. Commun. Math. Phys. 283, 853–860 (2008). https://doi.org/10.1007/s00220-008-0538-x

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  • DOI: https://doi.org/10.1007/s00220-008-0538-x

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