Hameedi, Sameh N.; Sagiv, Amir; Weinstein, Michael I. Radiative decay of edge states in Floquet media. (English) Zbl 07733300 Multiscale Model. Simul. 21, No. 3, 925-963 (2023). MSC: 81Q05 35Q41 35B34 35B20 35B27 78M40 PDFBibTeX XMLCite \textit{S. N. Hameedi} et al., Multiscale Model. Simul. 21, No. 3, 925--963 (2023; Zbl 07733300) Full Text: DOI arXiv
Li, Ping; Soffer, Avy; Yao, Xiaohua Decay estimates for fourth-order Schrödinger operators in dimension two. (English) Zbl 1511.35137 J. Funct. Anal. 284, No. 6, Article ID 109816, 83 p. (2023). MSC: 35J30 31B30 PDFBibTeX XMLCite \textit{P. Li} et al., J. Funct. Anal. 284, No. 6, Article ID 109816, 83 p. (2023; Zbl 1511.35137) Full Text: DOI arXiv
Soffer, Avy; Wu, Zhao; Yao, Xiaohua Decay estimates for bi-Schrödinger operators in dimension one. (English) Zbl 1505.35129 Ann. Henri Poincaré 23, No. 8, 2683-2744 (2022). Reviewer: Said El Manouni (Riyadh) MSC: 35J30 35B65 PDFBibTeX XMLCite \textit{A. Soffer} et al., Ann. Henri Poincaré 23, No. 8, 2683--2744 (2022; Zbl 1505.35129) Full Text: DOI arXiv
Kholmatov, Shokhrukh Yu.; Lakaev, Saidakhmat N.; Almuratov, Firdavsjon M. On the spectrum of Schrödinger-type operators on two dimensional lattices. (English) Zbl 1498.81076 J. Math. Anal. Appl. 514, No. 2, Article ID 126363, 31 p. (2022). MSC: 81Q10 81Q35 81U30 35B34 47A10 35P10 PDFBibTeX XMLCite \textit{S. Yu. Kholmatov} et al., J. Math. Anal. Appl. 514, No. 2, Article ID 126363, 31 p. (2022; Zbl 1498.81076) Full Text: DOI arXiv
Duerinckx, Mitia; Shirley, Christopher A new spectral analysis of stationary random Schrödinger operators. (English) Zbl 1472.81092 J. Math. Phys. 62, No. 7, Article ID 072106, 50 p. (2021). Reviewer: Eric Stachura (Marietta) MSC: 81Q10 35R60 81V70 82B44 14D06 35B34 60H07 PDFBibTeX XMLCite \textit{M. Duerinckx} and \textit{C. Shirley}, J. Math. Phys. 62, No. 7, Article ID 072106, 50 p. (2021; Zbl 1472.81092) Full Text: DOI arXiv
Feng, Hongliang Dispersive estimates for inhomogeneous fourth-order Schrödinger operator in 3D with zero energy obstructions. (English) Zbl 1465.35167 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 207, Article ID 112269, 33 p. (2021). MSC: 35J30 PDFBibTeX XMLCite \textit{H. Feng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 207, Article ID 112269, 33 p. (2021; Zbl 1465.35167) Full Text: DOI arXiv
Feng, Hongliang; Soffer, Avy; Wu, Zhao; Yao, Xiaohua Decay estimates for higher-order elliptic operators. (English) Zbl 1440.35054 Trans. Am. Math. Soc. 373, No. 4, 2805-2859 (2020). Reviewer: Michael Perelmuter (Kyïv) MSC: 35J10 35J30 35P05 PDFBibTeX XMLCite \textit{H. Feng} et al., Trans. Am. Math. Soc. 373, No. 4, 2805--2859 (2020; Zbl 1440.35054) Full Text: DOI arXiv
Celeghini, Enrico; Gadella, Manuel; del Olmo, Mariano A. Groups, special functions and rigged Hilbert spaces. (English) Zbl 1432.22024 Axioms 8, No. 3, Paper No. 89, 40 p. (2019). MSC: 22E70 20C30 47A70 17B81 PDFBibTeX XMLCite \textit{E. Celeghini} et al., Axioms 8, No. 3, Paper No. 89, 40 p. (2019; Zbl 1432.22024) Full Text: DOI
Briet, Philippe; Martinez, André Molecular dynamics at an energy-level crossing. (English) Zbl 1423.35270 J. Differ. Equations 267, No. 10, 5662-5700 (2019). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P15 35C20 35S99 45C05 PDFBibTeX XMLCite \textit{P. Briet} and \textit{A. Martinez}, J. Differ. Equations 267, No. 10, 5662--5700 (2019; Zbl 1423.35270) Full Text: DOI arXiv
Costin, Ovidiu; Costin, Rodica D.; Lebowitz, Joel L. Ionization by an oscillating field: resonances and photons. Ionization by an oscillating field: resonances and photons. (English) Zbl 1421.35308 J. Stat. Phys. 175, No. 3-4, 681-689 (2019). MSC: 35Q41 81V80 81V10 35B34 PDFBibTeX XMLCite \textit{O. Costin} et al., J. Stat. Phys. 175, No. 3--4, 681--689 (2019; Zbl 1421.35308) Full Text: DOI
Cornean, Horia D.; Jensen, Arne; Nenciu, Gheorghe Metastable states when the Fermi golden rule constant vanishes. (English) Zbl 1308.81093 Commun. Math. Phys. 334, No. 3, 1189-1218 (2015). MSC: 81Q15 81Q10 47A10 PDFBibTeX XMLCite \textit{H. D. Cornean} et al., Commun. Math. Phys. 334, No. 3, 1189--1218 (2015; Zbl 1308.81093) Full Text: DOI arXiv
Briet, Philippe; Fernández, Claudio Exponential decay and resonances in a driven system. (English) Zbl 1254.81031 J. Math. Anal. Appl. 396, No. 2, 513-522 (2012). MSC: 81Q05 81Q15 35B34 PDFBibTeX XMLCite \textit{P. Briet} and \textit{C. Fernández}, J. Math. Anal. Appl. 396, No. 2, 513--522 (2012; Zbl 1254.81031) Full Text: DOI arXiv
Cacciapuoti, Claudio; Carlone, Raffaele; Figari, Rodolfo Perturbations of eigenvalues embedded at threshold: two-dimensional solvable models. (English) Zbl 1272.81053 J. Math. Phys. 52, No. 8, 083515, 12 p. (2011). MSC: 81Q15 81Q80 PDFBibTeX XMLCite \textit{C. Cacciapuoti} et al., J. Math. Phys. 52, No. 8, 083515, 12 p. (2011; Zbl 1272.81053) Full Text: DOI
Costin, O.; Huang, M. Gamow vectors and Borel summability in a class of quantum systems. (English) Zbl 1227.82039 J. Stat. Phys. 144, No. 4, 846-871 (2011). MSC: 82C05 35J10 81Q05 35Q41 81Q20 PDFBibTeX XMLCite \textit{O. Costin} and \textit{M. Huang}, J. Stat. Phys. 144, No. 4, 846--871 (2011; Zbl 1227.82039) Full Text: DOI arXiv
Dinu, Victor; Jensen, Arne; Nenciu, Gheorghe Perturbation of near threshold eigenvalues: crossover from exponential to non-exponential decay laws. (English) Zbl 1217.81082 Rev. Math. Phys. 23, No. 1, 83-125 (2011). MSC: 81Q15 81Q10 35B25 35J10 47A55 47N50 81U05 81U99 PDFBibTeX XMLCite \textit{V. Dinu} et al., Rev. Math. Phys. 23, No. 1, 83--125 (2011; Zbl 1217.81082) Full Text: DOI
Costin, O.; Lebowitz, J. L.; Tanveer, S. Ionization of Coulomb systems in \(\mathbb R^3\) by time periodic forcings of arbitrary size. (English) Zbl 1209.37087 Commun. Math. Phys. 296, No. 3, 681-738 (2010). Reviewer: Jiansheng Geng (Nanjing) MSC: 37K40 35Q41 81Q05 PDFBibTeX XMLCite \textit{O. Costin} et al., Commun. Math. Phys. 296, No. 3, 681--738 (2010; Zbl 1209.37087) Full Text: DOI arXiv
Huang, M. Gamow vectors in a periodically perturbed quantum system. (English) Zbl 1181.82045 J. Stat. Phys. 137, No. 3, 569-592 (2009). MSC: 82C10 35Q41 81Q05 81U20 PDFBibTeX XMLCite \textit{M. Huang}, J. Stat. Phys. 137, No. 3, 569--592 (2009; Zbl 1181.82045) Full Text: DOI arXiv
Dinu, Victor; Jensen, Arne; Nenciu, Gheorghe Nonexponential decay laws in perturbation theory of near threshold eigenvalues. (English) Zbl 1200.81062 J. Math. Phys. 50, No. 1, 013516, 20 p. (2009). MSC: 81Q10 35B25 35J10 47A55 47N50 81U05 PDFBibTeX XMLCite \textit{V. Dinu} et al., J. Math. Phys. 50, No. 1, 013516, 20 p. (2009; Zbl 1200.81062) Full Text: DOI
Costin, O.; Lebowitz, J. L.; Stucchio, C. Ionization in a 1-dimensional dipole model. (English) Zbl 1168.81029 Rev. Math. Phys. 20, No. 7, 835-872 (2008). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 81V45 81Q05 35P25 35B34 35B10 35Q40 PDFBibTeX XMLCite \textit{O. Costin} et al., Rev. Math. Phys. 20, No. 7, 835--872 (2008; Zbl 1168.81029) Full Text: DOI arXiv
Jensen, Arne; Nenciu, Gheorghe The Fermi golden rule and its form at thresholds in odd dimensions. (English) Zbl 1109.81030 Commun. Math. Phys. 261, No. 3, 693-727 (2006). MSC: 81Q10 47N50 47B25 PDFBibTeX XMLCite \textit{A. Jensen} and \textit{G. Nenciu}, Commun. Math. Phys. 261, No. 3, 693--727 (2006; Zbl 1109.81030) Full Text: DOI
Melgaard, Michael Threshold properties of matrix-valued Schrödinger operators. II: Resonances. (English) Zbl 1099.35109 J. Differ. Equations 226, No. 2, 687-703 (2006). MSC: 35Q40 35B34 35P05 81Q10 PDFBibTeX XMLCite \textit{M. Melgaard}, J. Differ. Equations 226, No. 2, 687--703 (2006; Zbl 1099.35109) Full Text: DOI
Strauss, Y. Sz.-Nagy-Foias theory and Lax-Phillips type semigroups in the description of quantum mechanical resonances. (English) Zbl 1076.47006 J. Math. Phys. 46, No. 3, 032104, 25 p. (2005). MSC: 47A40 47A45 47N50 81U05 PDFBibTeX XMLCite \textit{Y. Strauss}, J. Math. Phys. 46, No. 3, 032104, 25 p. (2005; Zbl 1076.47006) Full Text: DOI
Kirr, E.; Weinstein, M. I. Diffusion of power in randomly perturbed Hamiltonian partial differential equations. (English) Zbl 1092.35091 Commun. Math. Phys. 255, No. 2, 293-328 (2005). Reviewer: Hideo Yamagata (Osaka) MSC: 35Q40 35B10 35B15 35B25 35J10 PDFBibTeX XMLCite \textit{E. Kirr} and \textit{M. I. Weinstein}, Commun. Math. Phys. 255, No. 2, 293--328 (2005; Zbl 1092.35091) Full Text: DOI arXiv