On the number of bound states of point interactions on hyperbolic manifolds

DOI10.1142/S0219887817500116zbMath1353.81051arXiv1511.07670OpenAlexW2309752059WikidataQ126101396 ScholiaQ126101396MaRDI QIDQ2956648

Fatih Erman

Publication date: 18 January 2017

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.07670

zbMATH Keywords

resolventRiemannian manifoldsheat kernelpoint interactionsnumber of bound states

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

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