Schrödinger operators with singular interactions: a model of tunnelling resonances
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Publication:4655934
DOI10.1088/0305-4470/37/34/005zbMath1072.81056arXivmath-ph/0312055OpenAlexW2030906359MaRDI QIDQ4655934
Publication date: 8 March 2005
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0312055
Applications of operator theory in the physical sciences (47N50) General theory of partial differential operators (47F05) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) (2)-body potential quantum scattering theory (81U05)
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Generalized \(Q\)-functions and Dirichlet-to-Neumann maps for elliptic differential operators ⋮ Straight quantum layer with impurities inducing resonances ⋮ Spectral analysis of a quantum system with a double line singular interaction ⋮ SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS ⋮ Resonances induced by broken symmetry in a system with a singular potential ⋮ Unstable system dynamics: do we understand it fully? ⋮ Non-relativistic and relativistic scattering by short-range potentials ⋮ On the spectrum of curved planar waveguides
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