Straight quantum waveguide with Robin boundary conditions.
Jílek, Martin (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “The analytic continuation of the Lippmann-Schwinger eigenfunctions, and antiunitary symmetries.”
Straight quantum waveguide with Robin boundary conditions.
Resonances generated by analytic singularities on the density of states measure for perturbed periodic Schrödinger operators.
Baklouti, Hamadi, Mnif, Maher (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Large- expansion method for two-body Dirac equation.
Duviryak, Askold (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Singular potentials in quantum mechanics and ambiguity in the self-adjoint Hamiltonian.
Fülöp, Tamás (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Soliton scattering by delta impurities
Justin Holmer, Jeremy Marzuola, Maciej Zworski (2006)
Journées Équations aux dérivées partielles
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Finite-temperature form factors: a review.
Doyon, Benjamin (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Simple derivation of quasinormal modes for arbitrary spins.
Khriplovich, Iosif, Ruban, Gennady (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Cryptohermitian picture of scattering using quasilocal metric operators.
Znojil, Miloslav (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Microlocalization of resonant states and estimates of the residue of the scattering amplitude
Jean-François Bony, Laurent Michel (2003)
Journées équations aux dérivées partielles
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We obtain some microlocal estimates of the resonant states associated to a resonance of an -differential operator. More precisely, we show that the normalized resonant states are outside the set of trapped trajectories and are in the incoming area of the phase space. As an application, we show that the residue of the scattering amplitude of a Schrödinger operator is small in some directions under an estimate of the norm of the spectral projector. Finally we prove...
Spectral projection, residue of the scattering amplitude and Schrödinger group expansion for barrier-top resonances
Jean-François Bony, Setsuro Fujiié, Thierry Ramond, Maher Zerzeri (2011)
Annales de l’institut Fourier
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We study the spectral projection associated to a barrier-top resonance for the semiclassical Schrödinger operator. First, we prove a resolvent estimate for complex energies close to such a resonance. Using that estimate and an explicit representation of the resonant states, we show that the spectral projection has a semiclassical expansion in integer powers of , and compute its leading term. We use this result to compute the residue of the scattering amplitude at such a resonance. Eventually,...