Browsing by Author "Richard, S."
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- ItemA few results on Mourre theory in a two-Hilbert spaces setting(2013) Richard, S.; Tiedra de Aldecoa, Rafael
- ItemNew Expressions for the Wave Operators of Schrödinger Operators in R^3(2013) Richard, S.; Tiedra de Aldecoa, Rafael
- ItemQuantum walks with an anisotropic coin I: spectral theory(2018) Richard, S.; Suzuki, A.; Tiedra de Aldecoa, Rafael
- ItemQuantum walks with an anisotropic coin II: scattering theory(2019) Richard, S.; Suzuki, A.; Tiedra de Aldecoa, Rafael
- ItemResolvent expansions and continuity of the scattering matrix at embedded thresholds: the case of quantum waveguides(2016) Richard, S.; Tiedra de Aldecoa, Rafael
- ItemSPECTRAL ANALYSIS AND TIME-DEPENDENT SCATTERING THEORY ON MANIFOLDS WITH ASYMPTOTICALLY CYLINDRICAL ENDS(2013) Richard, S.; Tiedra de Aldecoa, Rafael
- ItemSpectral and scattering theory of one-dimensional coupled photonic crystals(WORLD SCIENTIFIC PUBL CO PTE LTD, 2021) De Nittis, G.; Moscolari, M.; Richard, S.; Tiedra de Aldecoa, R.We study the spectral and scattering theory of light transmission in a system consisting of two asymptotically periodic waveguides, also known as one-dimensional photonic crystals, coupled by a junction. Using analyticity techniques and commutator methods in a two-Hilbert spaces setting, we determine the nature of the spectrum and prove the existence and completeness of the wave operators of the system.
- ItemTime delay is a common feature of quantum scattering theory(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2012) Richard, S.; Tiedra de Aldecoa, R.We prove that the existence of time delay defined in terms of sojourn times, as well as its identity with Eisenbud-Wigner time delay, is a common feature of two-Hilbert spaces quantum scattering theory. All statements are model-independent. (C) 2011 Elsevier Inc. All rights reserved.