Geodesic
Approximation of a~point perturbation on a~Riemannian manifold
Teoretičeskaâ i matematičeskaâ fizika, Tome 158 (2009) no. 1, pp. 49-57

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We show that the Hamiltonian of point interaction on a Riemannian manifold with bounded geometry can be obtained as a limit (in the sense of uniform resolvent convergence) of a sequence of scaling Hamiltonians with short-range interaction.
Keywords: Riemannian manifold, point interaction, approximation. 
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     author = {V. A. Geiler and D. A. Ivanov and I. Yu. Popov},
     title = {Approximation of a~point perturbation on {a~Riemannian} manifold},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {49--57},
     publisher = {mathdoc},
     volume = {158},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_158_1_a2/}
}
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V. A. Geiler; D. A. Ivanov; I. Yu. Popov. Approximation of a~point perturbation on a~Riemannian manifold. Teoretičeskaâ i matematičeskaâ fizika, Tome 158 (2009) no. 1, pp. 49-57. http://geodesic.mathdoc.fr/item/TMF_2009_158_1_a2/