On the Spectrum of a Quantum Dot with Impurity in the Lobachevsky Plane

zbMath1189.81280arXiv0811.3825MaRDI QIDQ3560689

Pavel Šťovíček, Matěj Tušek

Publication date: 14 May 2010

Full work available at URL: https://arxiv.org/abs/0811.3825

zbMATH Keywords

quantum dotspectrumpoint interactionLobachevsky plane

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Lamé, Mathieu, and spheroidal wave functions (33E10) Quantum dots, waveguides, ratchets, etc. (81Q37) Quantum dots as quasi particles (81V65)

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The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach

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