SPECTRAL ANALYSIS AND TIME-DEPENDENT SCATTERING THEORY ON MANIFOLDS WITH ASYMPTOTICALLY CYLINDRICAL ENDS
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Publication:4921461
DOI10.1142/S0129055X13500037zbMath1280.58021arXiv1108.5018OpenAlexW2099949169MaRDI QIDQ4921461
Serge Richard, Rafael Tiedra de Aldecoa
Publication date: 10 May 2013
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1108.5018
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Scattering theory of linear operators (47A40)
Related Items (7)
Mourre estimates for compatible Laplacians on complete manifolds with corners of codimension 2 ⋮ Quantum walks with an anisotropic coin. I: Spectral theory ⋮ A few results on Mourre theory in a two-Hilbert spaces setting ⋮ Quantum time delay for unitary operators: General theory ⋮ Spectral and scattering properties of quantum walks on homogenous trees of odd degree ⋮ Abstract theory of pointwise decay with applications to wave and Schrödinger equations ⋮ A geometric approach to the Landauer-Büttiker formula
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