Relative partition function of Coulomb plus delta interaction

  • Sergio Albeverio

    Universität Bonn, Germany
  • Claudio Cacciapuoti

    Università dell'Insubria, Como, Italy
  • Mauro Spreafico

    Università del Salento & INFN, Lecce, Italy
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Abstract

The relative partition function and the relative zeta function of the perturbation of the Laplace operator by a Coulomb potential plus a point interaction centered in the origin is discussed. Applications to the study of the Casimir effect are indicated.