Solvable Models of Resonances and Decays

DOI10.1007/978-3-0348-0591-9_3zbMath1266.81094arXiv1205.0512OpenAlexW1483899504MaRDI QIDQ4928931

Pavel Exner

Publication date: 19 June 2013

Published in: Mathematical Physics, Spectral Theory and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0512

zbMATH Keywords

perturbation theoryresonancesquantum graphsopen systemsdecay lawsolvable modelscomplex scalingcontact interactionsgeometric scatterers

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Exactly and quasi-solvable systems arising in quantum theory (81U15) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Special quantum systems, such as solvable systems (81Q80)

Related Items (5)

On the spectrum of Schrödinger-type operators on two dimensional lattices ⋮ Spectral and resonance properties of the Smilansky Hamiltonian ⋮ Spectral analysis of a quantum system with a double line singular interaction ⋮ Expansion of the resolvent in a Feshbach model ⋮ A Fermi golden rule for quantum graphs

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