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Sharp Inequalities for Ratios of Partition Functions of Schrödinger Operators

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Abstract

This paper derives inequalities for multiple integrals from which inequalities for ratios of integrals of heat kernels of certain Schrödinger operators follows. Such ratio inequalities imply inequalities for the partition functions of these operators which extend the spectral gap results proved by R. Bañuelos and P. Méndez-Hernández and B. Davis.

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Authors and Affiliations

  1. Mathematics Department, Purdue University, West Lafayette, IN, 47907, USA

    Dahae You

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  1. Dahae You
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You, D. Sharp Inequalities for Ratios of Partition Functions of Schrödinger Operators. Potential Analysis 18, 219–250 (2003). https://doi.org/10.1023/A:1020992608191

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