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
Duerinckx, Mitia; Shirley, Christopher Cherenkov radiation with massive bosons and quantum friction. (English) Zbl 1527.81092 Ann. Henri Poincaré 24, No. 8, 2743-2798 (2023). MSC: 81T10 81V73 47B25 81Q10 47A55 81Q15 47A40 81U24 PDFBibTeX XMLCite \textit{M. Duerinckx} and \textit{C. Shirley}, Ann. Henri Poincaré 24, No. 8, 2743--2798 (2023; Zbl 1527.81092) Full Text: DOI arXiv
Hitrik, Michael; Mantile, Andrea; Sjoestrand, Johannes Adiabatic evolution and shape resonances. (English) Zbl 1505.35002 Memoirs of the American Mathematical Society 1380. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5421-0/pbk; 978-1-4704-7280-1/ebook). v, 90 p. (2022). Reviewer: Sönke Hansen (Paderborn) MSC: 35-02 35A27 35B34 35J10 35P20 35Q81 35S05 PDFBibTeX XMLCite \textit{M. Hitrik} et al., Adiabatic evolution and shape resonances. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 1505.35002) Full Text: DOI arXiv
Jaramillo, J. L. Pseudospectrum and binary black hole merger transients. (English) Zbl 1511.83029 Classical Quantum Gravity 39, No. 21, Article ID 217002, 21 p. (2022). MSC: 83C57 70F05 47A10 85A05 83C05 81Q12 PDFBibTeX XMLCite \textit{J. L. Jaramillo}, Classical Quantum Gravity 39, No. 21, Article ID 217002, 21 p. (2022; Zbl 1511.83029) Full Text: DOI arXiv
Bony, Jean-François; Michel, Laurent; Ramond, Thierry Applications of resonance theory without analyticity assumption. (English) Zbl 1478.35027 Ann. Henri Poincaré 22, No. 11, 3641-3697 (2021). MSC: 35B34 35P25 81Q20 35J10 35S05 47A10 PDFBibTeX XMLCite \textit{J.-F. Bony} et al., Ann. Henri Poincaré 22, No. 11, 3641--3697 (2021; Zbl 1478.35027) 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
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio; Van Den Bosch, Hanne A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models. (English) Zbl 1469.35150 Ann. PDE 7, No. 1, Paper No. 10, 98 p. (2021). MSC: 35L71 35B35 35B40 37K40 PDFBibTeX XMLCite \textit{M. Kowalczyk} et al., Ann. PDE 7, No. 1, Paper No. 10, 98 p. (2021; Zbl 1469.35150) Full Text: DOI arXiv
Léger, Tristan Scattering for a particle interacting with a Bose gas. (English) Zbl 1462.35359 Commun. Partial Differ. Equations 45, No. 10, 1381-1413 (2020). MSC: 35Q55 82D05 35C08 76G25 35B40 PDFBibTeX XMLCite \textit{T. Léger}, Commun. Partial Differ. Equations 45, No. 10, 1381--1413 (2020; Zbl 1462.35359) 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
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio On asymptotic stability of nonlinear waves. (English) Zbl 1475.35415 Sémin. Laurent Schwartz, EDP Appl. 2016-2017, Exp. No. 18, 27 p. (2017). MSC: 35R30 35B35 35P25 35Q53 35Q55 35-02 PDFBibTeX XMLCite \textit{M. Kowalczyk} et al., Sémin. Laurent Schwartz, EDP Appl. 2016--2017, Exp. No. 18, 27 p. (2017; Zbl 1475.35415) Full Text: DOI
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio Nonexistence of small, odd breathers for a class of nonlinear wave equations. (English) Zbl 1384.35109 Lett. Math. Phys. 107, No. 5, 921-931 (2017). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q51 35Q55 PDFBibTeX XMLCite \textit{M. Kowalczyk} et al., Lett. Math. Phys. 107, No. 5, 921--931 (2017; Zbl 1384.35109) Full Text: DOI arXiv
Zworski, Maciej Mathematical study of scattering resonances. (English) Zbl 1368.35230 Bull. Math. Sci. 7, No. 1, 1-85 (2017). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q40 35P25 PDFBibTeX XMLCite \textit{M. Zworski}, Bull. Math. Sci. 7, No. 1, 1--85 (2017; Zbl 1368.35230) Full Text: DOI arXiv
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio Kink dynamics in the \(\phi^4\) model: asymptotic stability for odd perturbations in the energy space. (English) Zbl 1387.35419 J. Am. Math. Soc. 30, No. 3, 769-798 (2017). Reviewer: Joseph Shomberg (Providence) MSC: 35L71 35Q51 37K40 35B35 35L15 PDFBibTeX XMLCite \textit{M. Kowalczyk} et al., J. Am. Math. Soc. 30, No. 3, 769--798 (2017; Zbl 1387.35419) Full Text: DOI arXiv
Könenberg, M.; Merkli, M. On the irreversible dynamics emerging from quantum resonances. (English) Zbl 1342.81134 J. Math. Phys. 57, No. 3, 033302, 26 p. (2016). MSC: 81Q15 81Q10 81V70 35B34 81U99 81S22 82B35 PDFBibTeX XMLCite \textit{M. Könenberg} and \textit{M. Merkli}, J. Math. Phys. 57, No. 3, 033302, 26 p. (2016; Zbl 1342.81134) Full Text: DOI arXiv
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
Baumgartner, Bernhard; Narnhofer, Heide The structures of state space concerning quantum dynamical semigroups. (English) Zbl 1258.81056 Rev. Math. Phys. 24, No. 2, 1250001, 30 p. (2012). Reviewer: Michael Skeide (Campobasso) MSC: 81S22 46L55 46L53 46L57 PDFBibTeX XMLCite \textit{B. Baumgartner} and \textit{H. Narnhofer}, Rev. Math. Phys. 24, No. 2, 1250001, 30 p. (2012; Zbl 1258.81056) Full Text: DOI arXiv
Imaykin, Valery; Komech, Alexander; Vainberg, Boris Scattering of solitons for coupled wave-particle equations. (English) Zbl 1235.35068 J. Math. Anal. Appl. 389, No. 2, 713-740 (2012). MSC: 35C08 35L10 37K40 35Q40 PDFBibTeX XMLCite \textit{V. Imaykin} et al., J. Math. Anal. Appl. 389, No. 2, 713--740 (2012; Zbl 1235.35068) Full Text: DOI arXiv Link
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
Faraj, Ali; Mantile, Andrea; Nier, Francis Adiabatic evolution of 1D shape resonances: an artificial interface conditions approach. (English) Zbl 1223.35125 Math. Models Methods Appl. Sci. 21, No. 3, 541-618 (2011). Reviewer: Mihai Pascu (Bucureşti) MSC: 35J10 35B34 35P20 47A55 47A10 PDFBibTeX XMLCite \textit{A. Faraj} et al., Math. Models Methods Appl. Sci. 21, No. 3, 541--618 (2011; Zbl 1223.35125) 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
Goodman, Roy H.; Weinstein, Michael I. Stability and instability of nonlinear defect states in the coupled mode equations-analytical and numerical study. (English) Zbl 1153.78325 Physica D 237, No. 21, 2731-2760 (2008). MSC: 78A60 35Q55 78A40 PDFBibTeX XMLCite \textit{R. H. Goodman} and \textit{M. I. Weinstein}, Physica D 237, No. 21, 2731--2760 (2008; Zbl 1153.78325) Full Text: DOI arXiv
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
Salem, Walid K. Abou; Fröhlich, Jürg Adiabatic theorems for quantum resonances. (English) Zbl 1153.81010 Commun. Math. Phys. 273, No. 3, 651-675 (2007). Reviewer: Takashi Ichinose (Kanazawa) MSC: 81Q05 81Q10 81Q15 47N50 35P99 PDFBibTeX XMLCite \textit{W. K. A. Salem} and \textit{J. Fröhlich}, Commun. Math. Phys. 273, No. 3, 651--675 (2007; Zbl 1153.81010) Full Text: DOI arXiv Link
Koch, Herbert; Tataru, Daniel Carleman estimates and absence of embedded eigenvalues. (English) Zbl 1151.35025 Commun. Math. Phys. 267, No. 2, 419-449 (2006). MSC: 35J60 35P05 81Q10 PDFBibTeX XMLCite \textit{H. Koch} and \textit{D. Tataru}, Commun. Math. Phys. 267, No. 2, 419--449 (2006; Zbl 1151.35025) Full Text: DOI arXiv
Cacciapuoti, C.; Figari, R.; Posilicano, A. Point interactions in acoustics: one-dimensional models. (English) Zbl 1112.76065 J. Math. Phys. 47, No. 6, 062901, 22 p. (2006). MSC: 76Q05 76M45 PDFBibTeX XMLCite \textit{C. Cacciapuoti} et al., J. Math. Phys. 47, No. 6, 062901, 22 p. (2006; Zbl 1112.76065) Full Text: DOI arXiv Link
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
Melgaard, Michael Threshold properties of matrix-valued Schrödinger operators. (English) Zbl 1232.81022 J. Math. Phys. 46, No. 8, 083507, 10 p. (2005). MSC: 81Q15 35P05 35Q40 47F05 47N50 PDFBibTeX XMLCite \textit{M. Melgaard}, J. Math. Phys. 46, No. 8, 083507, 10 p. (2005; Zbl 1232.81022) 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
Soffer, A.; Weinstein, M. I. Selection of the ground state for nonlinear Schrödinger equations. (English) Zbl 1111.81313 Rev. Math. Phys. 16, No. 8, 977-1071 (2004). MSC: 81Q10 35Q55 81U05 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M. I. Weinstein}, Rev. Math. Phys. 16, No. 8, 977--1071 (2004; Zbl 1111.81313) Full Text: DOI arXiv
Tsai, Tai-Peng; Yau, Horng-Tzer Stable directions for excited states of nonlinear Schrödinger equations. (English) Zbl 1021.35113 Commun. Partial Differ. Equations 27, No. 11-12, 2363-2402 (2002). MSC: 35Q55 81Q10 81U05 37K45 PDFBibTeX XMLCite \textit{T.-P. Tsai} and \textit{H.-T. Yau}, Commun. Partial Differ. Equations 27, No. 11--12, 2363--2402 (2002; Zbl 1021.35113) Full Text: DOI arXiv
Lavine, R. Existence of almost exponentially decaying states for barrier potentials. (English) Zbl 1029.81028 Rev. Math. Phys. 13, No. 3, 267-305 (2001). MSC: 81Q10 34L40 81Q05 34C60 PDFBibTeX XMLCite \textit{R. Lavine}, Rev. Math. Phys. 13, No. 3, 267--305 (2001; Zbl 1029.81028) Full Text: DOI
Hunziker, W.; Sigal, I. M. The quantum \(N\)-body problem. (English) Zbl 0981.81026 J. Math. Phys. 41, No. 6, 3448-3510 (2000). MSC: 81Q10 81-02 81Q05 81U10 47N50 81-03 81S30 PDFBibTeX XMLCite \textit{W. Hunziker} and \textit{I. M. Sigal}, J. Math. Phys. 41, No. 6, 3448--3510 (2000; Zbl 0981.81026) Full Text: DOI
Strauss, Y.; Horwitz, L. P.; Eisenberg, E. Representation of quantum mechanical resonances in the Lax-Phillips Hilbert space. (English) Zbl 1063.81091 J. Math. Phys. 41, No. 12, 8050-8071 (2000). MSC: 81U05 47A40 47N50 PDFBibTeX XMLCite \textit{Y. Strauss} et al., J. Math. Phys. 41, No. 12, 8050--8071 (2000; Zbl 1063.81091) Full Text: DOI arXiv
Li, Y. A.; Promislow, K. Structural stability of non-ground state traveling waves of coupled nonlinear Schrödinger equations. (English) Zbl 0934.35173 Physica D 124, No. 1-3, 137-165 (1998). MSC: 35Q55 35B35 78A60 37K45 PDFBibTeX XMLCite \textit{Y. A. Li} and \textit{K. Promislow}, Physica D 124, No. 1--3, 137--165 (1998; Zbl 0934.35173) Full Text: DOI