# Point interactions in two- and three-dimensional Riemannian manifolds

@article{Erman2010PointII,
title={Point interactions in two- and three-dimensional Riemannian manifolds},
author={Fatih Erman and Osman Teoman Turgut},
journal={Journal of Physics A},
year={2010},
volume={43},
pages={335204}
}
• Published 1 August 2010
• Mathematics, Physics
• Journal of Physics A
We present a non-perturbative renormalization of the bound state problem of n bosons interacting with finitely many Dirac-delta interactions on two- and three-dimensional Riemannian manifolds using the heat kernel. We formulate the problem in terms of a new operator called the principal or characteristic operator ?(E). In order to investigate the problem in more detail, we then restrict the problem to one particle sector. The lower bound of the ground state energy is found for a general class…
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