On the optimization of the principal eigenvalue for single-centre point-interaction operators in a bounded region

DOI10.1088/1751-8113/41/6/065305zbMath1135.81014arXiv0711.4247OpenAlexW2003685680MaRDI QIDQ5445280

Pavel Exner, Andrea Mantile

Publication date: 4 March 2008

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.4247

zbMATH Keywords

geometryground state energypoint interaction

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (3)

On the many Dirichlet Laplacians on a non-convex polygon and their approximations by point interactions ⋮ Spectral geometry in a rotating frame: properties of the ground state ⋮ Faber–Krahn inequalities for Schrödinger operators with point and with Coulomb interactions

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