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On embedded bound states of unitary operators and their regularity

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Publication:1935763
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DOI10.1016/j.bulsci.2012.07.004zbMath1275.47134OpenAlexW1977011699MaRDI QIDQ1935763

Olivier Bourget

Publication date: 19 February 2013

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2012.07.004

zbMATH Keywords

regularityunitary operatoreigenstate


Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)


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Spectral and scattering properties of quantum walks on homogenous trees of odd degree, Stationary scattering theory for unitary operators with an application to quantum walks, Spectral and scattering theory of one-dimensional coupled photonic crystals



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