Su, Xiaoyan; Xu, Chengbin; Xu, Guixiang; Yu, Xiaoqing A limiting absorption principle for high-order Schrödinger operators in critical spaces. (English) Zbl 07783577 Ill. J. Math. 67, No. 4, 687-704 (2023). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 47A10 35P05 PDFBibTeX XMLCite \textit{X. Su} et al., Ill. J. Math. 67, No. 4, 687--704 (2023; Zbl 07783577) Full Text: DOI arXiv Link
Coti Zelati, Michele; Gallay, Thierry Enhanced dissipation and Taylor dispersion in higher-dimensional parallel shear flows. (English) Zbl 1527.35270 J. Lond. Math. Soc., II. Ser. 108, No. 4, 1358-1392 (2023). MSC: 35Q35 35H10 47B44 76E05 35A01 35A02 PDFBibTeX XMLCite \textit{M. Coti Zelati} and \textit{T. Gallay}, J. Lond. Math. Soc., II. Ser. 108, No. 4, 1358--1392 (2023; Zbl 1527.35270) Full Text: DOI arXiv OA License
Lee, Jinyeop; Michelangeli, Alessandro On the characterisation of fragmented Bose-Einstein condensation and its emergent effective evolution. (English) Zbl 1527.35322 Nonlinearity 36, No. 12, 6364-6402 (2023). MSC: 35Q40 35Q41 35Q55 47N20 81Q10 81V70 81V73 PDFBibTeX XMLCite \textit{J. Lee} and \textit{A. Michelangeli}, Nonlinearity 36, No. 12, 6364--6402 (2023; Zbl 1527.35322) Full Text: DOI arXiv OA License
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
Erdoğan, M. Burak; Goldberg, Michael; Green, William R. Counterexamples to \(L^p\) boundedness of wave operators for classical and higher order Schrödinger operators. (English) Zbl 07694897 J. Funct. Anal. 285, No. 5, Article ID 110008, 18 p. (2023). MSC: 47B93 35J10 35P05 PDFBibTeX XMLCite \textit{M. B. Erdoğan} et al., J. Funct. Anal. 285, No. 5, Article ID 110008, 18 p. (2023; Zbl 07694897) Full Text: DOI arXiv
Erdoğan, M. Burak; Green, William R. A note on endpoint \(L^p\)-continuity of wave operators for classical and higher order Schrödinger operators. (English) Zbl 1525.35084 J. Differ. Equations 355, 144-161 (2023). Reviewer: Denis A. White (Toledo) MSC: 35J10 35J30 47A40 PDFBibTeX XMLCite \textit{M. B. Erdoğan} and \textit{W. R. Green}, J. Differ. Equations 355, 144--161 (2023; Zbl 1525.35084) Full Text: DOI arXiv
Black, Adam; Malinovitch, Tal Scattering for Schrödinger operators with potentials concentrated near a subspace. (English) Zbl 07662349 Trans. Am. Math. Soc. 376, No. 4, 2525-2555 (2023). Reviewer: Davide Fermi (Roma) MSC: 47A40 35J10 35Q40 81U05 81U15 PDFBibTeX XMLCite \textit{A. Black} and \textit{T. Malinovitch}, Trans. Am. Math. Soc. 376, No. 4, 2525--2555 (2023; Zbl 07662349) Full Text: DOI arXiv
Georgescu, Vladimir; Iftimovici, Andrei On the structure of the field \(C^\ast \)-algebra of a symplectic space and spectral analysis of the operators affiliated to it. (English) Zbl 1517.46051 J. Funct. Anal. 284, No. 8, Article ID 109867, 73 p. (2023). MSC: 46L60 47A10 47L90 81Q10 81S05 81S30 PDFBibTeX XMLCite \textit{V. Georgescu} and \textit{A. Iftimovici}, J. Funct. Anal. 284, No. 8, Article ID 109867, 73 p. (2023; Zbl 1517.46051) Full Text: DOI arXiv
Richard, S.; Tiedra de Aldecoa, R. Decay estimates for unitary representations with applications to continuous- and discrete-time models. (English) Zbl 07645505 Ann. Henri Poincaré 24, No. 1, 1-36 (2023). MSC: 47-XX 22D10 35Q40 58J51 81Q10 PDFBibTeX XMLCite \textit{S. Richard} and \textit{R. Tiedra de Aldecoa}, Ann. Henri Poincaré 24, No. 1, 1--36 (2023; Zbl 07645505) Full Text: DOI arXiv
Grillakis, Manoussos; Margetis, Dionisios; Sorokanich, Stephen Many-body excitations in trapped Bose gas: a non-Hermitian approach. (English) Zbl 1503.35195 Q. Appl. Math. 81, No. 1, 87-126 (2023). MSC: 35Q40 81V73 81Q12 47N20 82C10 35P99 PDFBibTeX XMLCite \textit{M. Grillakis} et al., Q. Appl. Math. 81, No. 1, 87--126 (2023; Zbl 1503.35195) Full Text: DOI arXiv
Cao, Jun; Liu, Yu; Yang, Dachun; Zhang, Chao Gaussian estimates for heat kernels of higher order Schrödinger operators with potentials in generalized Schechter classes. (English) Zbl 1521.35098 J. Lond. Math. Soc., II. Ser. 106, No. 3, 2136-2192 (2022). MSC: 35K08 35B45 35J10 35J30 47G40 PDFBibTeX XMLCite \textit{J. Cao} et al., J. Lond. Math. Soc., II. Ser. 106, No. 3, 2136--2192 (2022; Zbl 1521.35098) Full Text: DOI arXiv
Goldberg, Michael; Green, William R. Time integrable weighted dispersive estimates for the fourth order Schrödinger equation in three dimensions. (English) Zbl 1527.35147 Bull. Lond. Math. Soc. 54, No. 2, 428-448 (2022). Reviewer: Luigi Provenzano (Padova) MSC: 35J30 35J10 47A10 PDFBibTeX XMLCite \textit{M. Goldberg} and \textit{W. R. Green}, Bull. Lond. Math. Soc. 54, No. 2, 428--448 (2022; Zbl 1527.35147) 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
Kopylova, Elena Klein-Gordon equation with mean field interaction. Orbital and asymptotic stability of solitary waves. (English) Zbl 1492.35167 Nonlinearity 35, No. 7, 3593-3629 (2022). MSC: 35L71 35B35 35B40 35C08 47F05 PDFBibTeX XMLCite \textit{E. Kopylova}, Nonlinearity 35, No. 7, 3593--3629 (2022; Zbl 1492.35167) Full Text: DOI
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
Erdoğan, M. Burak; Green, William R. The \(L^p\)-continuity of wave operators for higher order Schrödinger operators. (English) Zbl 07537713 Adv. Math. 404, Part B, Article ID 108450, 41 p. (2022). MSC: 35J10 35J30 47A40 81Q10 PDFBibTeX XMLCite \textit{M. B. Erdoğan} and \textit{W. R. Green}, Adv. Math. 404, Part B, Article ID 108450, 41 p. (2022; Zbl 07537713) Full Text: DOI arXiv
Ma, Siyuan; Zhang, Lin Sharp decay estimates for massless Dirac fields on a Schwarzschild background. (English) Zbl 1503.83009 J. Funct. Anal. 282, No. 6, Article ID 109375, 112 p. (2022). MSC: 83C57 81R25 81U90 47A10 35L05 58J47 PDFBibTeX XMLCite \textit{S. Ma} and \textit{L. Zhang}, J. Funct. Anal. 282, No. 6, Article ID 109375, 112 p. (2022; Zbl 1503.83009) 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
Mizutani, Haruya; Yao, Xiaohua Kato smoothing, Strichartz and uniform Sobolev estimates for fractional operators with sharp Hardy potentials. (English) Zbl 1477.35047 Commun. Math. Phys. 388, No. 1, 581-623 (2021). MSC: 35B45 35R11 47D06 PDFBibTeX XMLCite \textit{H. Mizutani} and \textit{X. Yao}, Commun. Math. Phys. 388, No. 1, 581--623 (2021; Zbl 1477.35047) Full Text: DOI arXiv
Bringmann, Bjoern; Mendelson, Dana An eigensystem approach to Anderson localization for multi-particle systems. (English) Zbl 1489.82042 Ann. Henri Poincaré 22, No. 10, 3255-3290 (2021). MSC: 82B44 47B80 60H25 81Q10 PDFBibTeX XMLCite \textit{B. Bringmann} and \textit{D. Mendelson}, Ann. Henri Poincaré 22, No. 10, 3255--3290 (2021; Zbl 1489.82042) Full Text: DOI arXiv
Craciun, Gheorghe; Tran, Minh-Binh A reaction network approach to the convergence to equilibrium of quantum Boltzmann equations for Bose gases. (English) Zbl 1479.35594 ESAIM, Control Optim. Calc. Var. 27, Paper No. 83, 25 p. (2021). MSC: 35Q20 45A05 47G10 82B40 37N25 92C42 37C10 80A30 92D25 81V73 35B41 82C10 PDFBibTeX XMLCite \textit{G. Craciun} and \textit{M.-B. Tran}, ESAIM, Control Optim. Calc. Var. 27, Paper No. 83, 25 p. (2021; Zbl 1479.35594) Full Text: DOI arXiv
Kostenko, Aleksey Heat kernels of the discrete Laguerre operators. (English) Zbl 07345365 Lett. Math. Phys. 111, No. 2, Paper No. 32, 29 p. (2021). Reviewer: Michael Perelmuter (Kyïv) MSC: 47B36 33C45 47D07 PDFBibTeX XMLCite \textit{A. Kostenko}, Lett. Math. Phys. 111, No. 2, Paper No. 32, 29 p. (2021; Zbl 07345365) Full Text: DOI arXiv
Nam, Phan Thành; Napiórkowski, Marcin Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas. (English) Zbl 1462.81218 Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 99, 30 p. (2021). MSC: 81V73 82D05 81Q10 81Q15 35P15 81P16 47A75 PDFBibTeX XMLCite \textit{P. T. Nam} and \textit{M. Napiórkowski}, Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 99, 30 p. (2021; Zbl 1462.81218) Full Text: DOI arXiv
Goldberg, Michael; Green, William R. On the \(L^p\) boundedness of the wave operators for fourth order Schrödinger operators. (English) Zbl 07344659 Trans. Am. Math. Soc. 374, No. 6, 4075-4092 (2021). MSC: 47-XX 35-XX PDFBibTeX XMLCite \textit{M. Goldberg} and \textit{W. R. Green}, Trans. Am. Math. Soc. 374, No. 6, 4075--4092 (2021; Zbl 07344659) Full Text: DOI arXiv
Hasler, David; Siebert, Oliver Thermal ionization for short-range potentials. (English) Zbl 1459.81042 J. Stat. Phys. 182, No. 1, Paper No. 17, 54 p. (2021). MSC: 81Q10 47N50 81V45 81V55 81S22 81V73 PDFBibTeX XMLCite \textit{D. Hasler} and \textit{O. Siebert}, J. Stat. Phys. 182, No. 1, Paper No. 17, 54 p. (2021; Zbl 1459.81042) Full Text: DOI arXiv
Muminov, Mukhiddin I.; Rasulov, Tulkin H.; Tosheva, Nargiza A. Analysis of the discrete Spectrum of the family SPECTRUM of \(3\times 3\) operator matrices. (English) Zbl 1453.81029 Commun. Math. Anal. 23, No. 1, 17-37 (2020). MSC: 81Q10 35P20 47N50 PDFBibTeX XMLCite \textit{M. I. Muminov} et al., Commun. Math. Anal. 23, No. 1, 17--37 (2020; Zbl 1453.81029) Full Text: arXiv Euclid
Tran, Minh-Binh; Craciun, Gheorghe; Smith, Leslie M.; Boldyrev, Stanislav A reaction network approach to the theory of acoustic wave turbulence. (English) Zbl 1434.35040 J. Differ. Equations 269, No. 5, 4332-4352 (2020). MSC: 35Q20 47G10 82B40 37N25 92C42 37C10 80A30 92D25 PDFBibTeX XMLCite \textit{M.-B. Tran} et al., J. Differ. Equations 269, No. 5, 4332--4352 (2020; Zbl 1434.35040) Full Text: DOI arXiv
Alvarez, Benjamin Louis; Faupin, Jérémy Scattering theory for mathematical models of the weak interaction. (English) Zbl 1436.81083 Rev. Math. Phys. 32, No. 1, Article ID 2050002, 80 p. (2020). MSC: 81T10 81U20 81U90 81V15 81V22 30H20 47A40 PDFBibTeX XMLCite \textit{B. L. Alvarez} and \textit{J. Faupin}, Rev. Math. Phys. 32, No. 1, Article ID 2050002, 80 p. (2020; Zbl 1436.81083) Full Text: DOI arXiv
Zhang, Junyong; Zheng, Jiqiang Strichartz estimates and wave equation in a conic singular space. (English) Zbl 1433.42026 Math. Ann. 376, No. 1-2, 525-581 (2020). MSC: 42B37 35L05 35Q40 47J35 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{J. Zheng}, Math. Ann. 376, No. 1--2, 525--581 (2020; Zbl 1433.42026) Full Text: DOI arXiv
Mizutani, Haruya; Zhang, Junyong; Zheng, Jiqiang Uniform resolvent estimates for Schrödinger operator with an inverse-square potential. (English) Zbl 1429.42027 J. Funct. Anal. 278, No. 4, Article ID 108350, 29 p. (2020). MSC: 42B37 35Q40 35J10 35Q41 47J35 PDFBibTeX XMLCite \textit{H. Mizutani} et al., J. Funct. Anal. 278, No. 4, Article ID 108350, 29 p. (2020; Zbl 1429.42027) Full Text: DOI arXiv
Simon, Barry Tosio Kato’s work on non-relativistic quantum mechanics. II. (English) Zbl 1472.81094 Bull. Math. Sci. 9, No. 1, Article ID 1950005, 105 p. (2019). Reviewer: Heinz Siedentop (München) MSC: 81Q10 81U05 47A55 35Q40 46N50 81Q15 PDFBibTeX XMLCite \textit{B. Simon}, Bull. Math. Sci. 9, No. 1, Article ID 1950005, 105 p. (2019; Zbl 1472.81094) 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
Schmid, Jochen Adiabatic theorems for general linear operators with time-independent domains. (English) Zbl 1433.34082 Rev. Math. Phys. 31, No. 5, Article ID 1950014, 70 p. (2019). MSC: 34G10 34E15 47D06 81Q10 47A10 PDFBibTeX XMLCite \textit{J. Schmid}, Rev. Math. Phys. 31, No. 5, Article ID 1950014, 70 p. (2019; Zbl 1433.34082) Full Text: DOI arXiv
Bui, The Anh; D’Ancona, Piero; Duong, Xuan Thinh; Müller, Detlef On the flows associated to selfadjoint operators on metric measure spaces. (English) Zbl 1430.42029 Math. Ann. 375, No. 3-4, 1393-1426 (2019). Reviewer: Vadim D. Kryakvin (Rostov-na-Donu) MSC: 42B37 47D08 46E35 PDFBibTeX XMLCite \textit{T. A. Bui} et al., Math. Ann. 375, No. 3--4, 1393--1426 (2019; Zbl 1430.42029) Full Text: DOI Link
Barbaroux, Jean-Marie; Faupin, Jérémy; Guillot, Jean-Claude Local decay for weak interactions with massless particles. (English) Zbl 1508.81861 J. Spectr. Theory 9, No. 2, 453-512 (2019). MSC: 81Q80 81V22 47A10 81V73 81V15 81Q10 30H20 46N50 PDFBibTeX XMLCite \textit{J.-M. Barbaroux} et al., J. Spectr. Theory 9, No. 2, 453--512 (2019; Zbl 1508.81861) Full Text: DOI arXiv
Georgescu, Vladimir On the essential spectrum of elliptic differential operators. (English) Zbl 1400.35191 J. Math. Anal. Appl. 468, No. 2, 839-864 (2018). MSC: 35P15 47A10 47L40 PDFBibTeX XMLCite \textit{V. Georgescu}, J. Math. Anal. Appl. 468, No. 2, 839--864 (2018; Zbl 1400.35191) Full Text: DOI arXiv
Golénia, Sylvain; Mandich, Marc-Adrien Propagation estimates for one commutator regularity. (English) Zbl 1405.81034 Integral Equations Oper. Theory 90, No. 4, Paper No. 47, 40 p. (2018). Reviewer: Eric Stachura (Marietta) MSC: 81Q10 35J70 47B25 47A10 35Q40 39A70 PDFBibTeX XMLCite \textit{S. Golénia} and \textit{M.-A. Mandich}, Integral Equations Oper. Theory 90, No. 4, Paper No. 47, 40 p. (2018; Zbl 1405.81034) Full Text: DOI arXiv
Koornwinder, Tom; Kostenko, Aleksey; Teschl, Gerald Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator. (English) Zbl 1405.33012 Adv. Math. 333, 796-821 (2018). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 33C45 47B36 81U30 81Q05 PDFBibTeX XMLCite \textit{T. Koornwinder} et al., Adv. Math. 333, 796--821 (2018; Zbl 1405.33012) Full Text: DOI arXiv
Simon, Barry Tosio Kato’s work on non-relativistic quantum mechanics. I. (English) Zbl 1416.81063 Bull. Math. Sci. 8, No. 1, 121-232 (2018). Reviewer: Heinz Siedentop (München) MSC: 81Q10 81U05 47A55 35Q40 46N50 81Q15 01A70 PDFBibTeX XMLCite \textit{B. Simon}, Bull. Math. Sci. 8, No. 1, 121--232 (2018; Zbl 1416.81063) Full Text: DOI
Feng, Hong Liang; Wang, Hua; Yao, Xiao Hua Scattering theory for the defocusing fourth order NLS with potentials. (English) Zbl 1384.35049 Acta Math. Sin., Engl. Ser. 34, No. 4, 773-786 (2018). MSC: 35P25 35Q55 47J35 PDFBibTeX XMLCite \textit{H. L. Feng} et al., Acta Math. Sin., Engl. Ser. 34, No. 4, 773--786 (2018; Zbl 1384.35049) Full Text: DOI
Feng, Hongliang; Soffer, Avy; Yao, Xiaohua Decay estimates and Strichartz estimates of fourth-order Schrödinger operator. (English) Zbl 1379.58013 J. Funct. Anal. 274, No. 2, 605-658 (2018). MSC: 58J50 42B15 35P15 42B20 47F05 PDFBibTeX XMLCite \textit{H. Feng} et al., J. Funct. Anal. 274, No. 2, 605--658 (2018; Zbl 1379.58013) Full Text: DOI arXiv
Vasy, András On the positivity of propagator differences. (English) Zbl 1360.81173 Ann. Henri Poincaré 18, No. 3, 983-1007 (2017). MSC: 81Q35 81T20 47A10 47B65 81U05 PDFBibTeX XMLCite \textit{A. Vasy}, Ann. Henri Poincaré 18, No. 3, 983--1007 (2017; Zbl 1360.81173) Full Text: DOI arXiv
Georgescu, Vladimir; Larenas, Manuel; Soffer, Avy Abstract theory of pointwise decay with applications to wave and Schrödinger equations. (English) Zbl 1367.47029 Ann. Henri Poincaré 17, No. 8, 2075-2101 (2016). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47B25 47B47 37L50 35Q41 47D08 81Q10 PDFBibTeX XMLCite \textit{V. Georgescu} et al., Ann. Henri Poincaré 17, No. 8, 2075--2101 (2016; Zbl 1367.47029) Full Text: DOI arXiv
Fishman, S.; Soffer, A. Slowly changing potential problems in quantum mechanics: adiabatic theorems, ergodic theorems, and scattering. (English) Zbl 1348.81227 J. Math. Phys. 57, No. 7, 072101, 22 p. (2016). Reviewer: Giovanni Rastelli (Vercelli) MSC: 81Q05 35Q41 47A35 81U05 37A35 PDFBibTeX XMLCite \textit{S. Fishman} and \textit{A. Soffer}, J. Math. Phys. 57, No. 7, 072101, 22 p. (2016; Zbl 1348.81227) Full Text: DOI arXiv
Kostenko, Aleksey; Teschl, Gerald Dispersion estimates for the discrete Laguerre operator. (English) Zbl 1334.35265 Lett. Math. Phys. 106, No. 4, 545-555 (2016). MSC: 35Q41 47B36 81U30 81Q05 PDFBibTeX XMLCite \textit{A. Kostenko} and \textit{G. Teschl}, Lett. Math. Phys. 106, No. 4, 545--555 (2016; Zbl 1334.35265) Full Text: DOI arXiv
Falconi, Marco Self-adjointness criterion for operators in Fock spaces. (English) Zbl 1337.47033 Math. Phys. Anal. Geom. 18, No. 1, Article ID 2, 18 p. (2015). MSC: 47B25 81T10 46N50 47A80 PDFBibTeX XMLCite \textit{M. Falconi}, Math. Phys. Anal. Geom. 18, No. 1, Article ID 2, 18 p. (2015; Zbl 1337.47033) Full Text: DOI arXiv
Dybalski, Wojciech; Møller, Jacob Schach The translation invariant massive Nelson model. III: asymptotic completeness below the two-boson threshold. (English) Zbl 1329.81355 Ann. Henri Poincaré 16, No. 11, 2603-2693 (2015). Reviewer: Akira Asada (Takarazuka) MSC: 81U05 81Q10 81T05 47A40 PDFBibTeX XMLCite \textit{W. Dybalski} and \textit{J. S. Møller}, Ann. Henri Poincaré 16, No. 11, 2603--2693 (2015; Zbl 1329.81355) Full Text: DOI arXiv
Donninger, Roland; Schörkhuber, Birgit A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on \(L^2(\mathbb{R}^d)\). (English) Zbl 1321.47096 J. Funct. Anal. 268, No. 9, 2479-2524 (2015). MSC: 47D06 37H10 60H15 47F05 PDFBibTeX XMLCite \textit{R. Donninger} and \textit{B. Schörkhuber}, J. Funct. Anal. 268, No. 9, 2479--2524 (2015; Zbl 1321.47096) 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
Komech, A. I.; Kopylova, E. A. Weighted energy decay for magnetic Klein-Gordon equation. (English) Zbl 1311.35028 Appl. Anal. 94, No. 2, 218-232 (2015). MSC: 35B40 35L10 47A40 81U05 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{E. A. Kopylova}, Appl. Anal. 94, No. 2, 218--232 (2015; Zbl 1311.35028) Full Text: DOI arXiv
Cardoso, Fernando; Cuevas, Claudio; Vodev, Georgi Semi-classical dispersive estimates. (English) Zbl 1304.35147 Math. Z. 278, No. 1-2, 251-277 (2014). MSC: 35B45 47D06 35Q41 35L15 PDFBibTeX XMLCite \textit{F. Cardoso} et al., Math. Z. 278, No. 1--2, 251--277 (2014; Zbl 1304.35147) Full Text: DOI arXiv
Hempel, Rainer; Post, Olaf; Weder, Ricardo On open scattering channels for manifolds with ends. (English) Zbl 1298.35129 J. Funct. Anal. 266, No. 9, 5526-5583 (2014). MSC: 35P25 35R01 47A40 PDFBibTeX XMLCite \textit{R. Hempel} et al., J. Funct. Anal. 266, No. 9, 5526--5583 (2014; Zbl 1298.35129) Full Text: DOI arXiv
Golénia, Sylvain Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians. (English) Zbl 1292.35300 J. Funct. Anal. 266, No. 5, 2662-2688 (2014). MSC: 35R02 35P20 47F05 47A10 PDFBibTeX XMLCite \textit{S. Golénia}, J. Funct. Anal. 266, No. 5, 2662--2688 (2014; Zbl 1292.35300) Full Text: DOI arXiv
Faupin, Jérémy; Sigal, Israel Michael On Rayleigh scattering in non-relativistic quantum electrodynamics. (English) Zbl 1315.81105 Commun. Math. Phys. 328, No. 3, 1199-1254 (2014). Reviewer: Markus Fröb (Leipzig) MSC: 81V10 81Q05 47A40 34L25 81V80 81U05 PDFBibTeX XMLCite \textit{J. Faupin} and \textit{I. M. Sigal}, Commun. Math. Phys. 328, No. 3, 1199--1254 (2014; Zbl 1315.81105) Full Text: DOI arXiv
Muminov, Zahriddin; Ismail, Fudziah; Rasulov, Jamshid The Faddeev equation and the essential spectrum of a model operator associated with the Hamiltonian of a nonconserved number of particles. (English) Zbl 1292.81053 Adv. Math. Phys. 2014, Article ID 943868, 10 p. (2014). MSC: 81Q10 81V70 47A10 PDFBibTeX XMLCite \textit{Z. Muminov} et al., Adv. Math. Phys. 2014, Article ID 943868, 10 p. (2014; Zbl 1292.81053) Full Text: DOI
Green, William R. Time decay estimates for the wave equation with potential in dimension two. (English) Zbl 1297.35035 J. Differ. Equations 257, No. 3, 868-919 (2014). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35B40 35L15 35B34 47A10 PDFBibTeX XMLCite \textit{W. R. Green}, J. Differ. Equations 257, No. 3, 868--919 (2014; Zbl 1297.35035) Full Text: DOI arXiv
Grillo, Gabriele; Kovařík, Hynek Weighted dispersive estimates for two-dimensional Schrödinger operators with Aharonov-Bohm magnetic field. (English) Zbl 1294.35154 J. Differ. Equations 256, No. 12, 3889-3911 (2014). Reviewer: Vladimir Čadež (Beograd) MSC: 35Q60 82C10 35J10 82B44 78A25 78A02 81R15 47D08 PDFBibTeX XMLCite \textit{G. Grillo} and \textit{H. Kovařík}, J. Differ. Equations 256, No. 12, 3889--3911 (2014; Zbl 1294.35154) Full Text: DOI arXiv
Muminov, Zahriddin; Ismail, Fudziah; Eshkuvatov, Zainidin; Rasulov, Jamshid On the discrete spectrum of a model operator in fermionic Fock space. (English) Zbl 1433.81086 Abstr. Appl. Anal. 2013, Article ID 875194, 12 p. (2013). MSC: 81Q10 47A10 PDFBibTeX XMLCite \textit{Z. Muminov} et al., Abstr. Appl. Anal. 2013, Article ID 875194, 12 p. (2013; Zbl 1433.81086) Full Text: DOI
Wang, Dawei Global well-posedness and scattering for the nonstandard defocusing beam equation. (English) Zbl 1282.35108 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 89, 8-23 (2013). MSC: 35B45 47J35 35L76 74K10 35L30 PDFBibTeX XMLCite \textit{D. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 89, 8--23 (2013; Zbl 1282.35108) Full Text: DOI
Barceló, Juan Antonio; Vega, Luis; Zubeldia, Miren The forward problem for the electromagnetic Helmholtz equation with critical singularities. (English) Zbl 1284.35144 Adv. Math. 240, 636-671 (2013). MSC: 35J05 35B25 35B45 35P25 35Q60 47A10 PDFBibTeX XMLCite \textit{J. A. Barceló} et al., Adv. Math. 240, 636--671 (2013; Zbl 1284.35144) Full Text: DOI arXiv
Guillarmou, Colin; Hassell, Andrew; Sikora, Adam Resolvent at low energy. III: The spectral measure. (English) Zbl 1303.58010 Trans. Am. Math. Soc. 365, No. 11, 6103-6148 (2013). Reviewer: Mihai Pascu (Bucureşti) MSC: 58J50 35P25 47A40 PDFBibTeX XMLCite \textit{C. Guillarmou} et al., Trans. Am. Math. Soc. 365, No. 11, 6103--6148 (2013; Zbl 1303.58010) Full Text: DOI arXiv
Erdoğan, M. Burak; Green, William R. A weighted dispersive estimate for Schrödinger operators in dimension two. (English) Zbl 1272.35053 Commun. Math. Phys. 319, No. 3, 791-811 (2013). Reviewer: James Bernard Kennedy (Ulm) MSC: 35B45 35J10 35P10 35B40 47D06 PDFBibTeX XMLCite \textit{M. B. Erdoğan} and \textit{W. R. Green}, Commun. Math. Phys. 319, No. 3, 791--811 (2013; Zbl 1272.35053) Full Text: DOI arXiv
Feng, Youling; Cao, Yang; Wang, Haijun Diagonalization of bounded linear operators on separable quaternionic Hilbert space. (English) Zbl 1275.47041 J. Math. Phys. 53, No. 2, 023517, 12 p. (2012). MSC: 47A67 81Q65 PDFBibTeX XMLCite \textit{Y. Feng} et al., J. Math. Phys. 53, No. 2, 023517, 12 p. (2012; Zbl 1275.47041) Full Text: DOI
Parui, S.; Ratnakumar, P. K.; Thangavelu, S. Analyticity of the Schrödinger propagator on the Heisenberg group. (English) Zbl 1256.22004 Monatsh. Math. 168, No. 2, 279-303 (2012). Reviewer: Jorge Vargas (Cordoba) MSC: 22E30 35G10 47A63 PDFBibTeX XMLCite \textit{S. Parui} et al., Monatsh. Math. 168, No. 2, 279--303 (2012; Zbl 1256.22004) Full Text: DOI Link
Costin, Ovidiu; Donninger, Roland; Schlag, Wilhelm; Tanveer, Saleh Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials. (English) Zbl 1258.81038 Ann. Henri Poincaré 13, No. 6, 1371-1426 (2012). Reviewer: Takashi Ichinose (Kanazawa) MSC: 81Q20 81U05 47A40 34L40 PDFBibTeX XMLCite \textit{O. Costin} et al., Ann. Henri Poincaré 13, No. 6, 1371--1426 (2012; Zbl 1258.81038) Full Text: DOI arXiv
Beceanu, Marius; Goldberg, Michael Schrödinger dispersive estimates for a scaling-critical class of potentials. (English) Zbl 1250.35047 Commun. Math. Phys. 314, No. 2, 471-481 (2012). MSC: 35B45 47D06 35Q41 PDFBibTeX XMLCite \textit{M. Beceanu} and \textit{M. Goldberg}, Commun. Math. Phys. 314, No. 2, 471--481 (2012; Zbl 1250.35047) Full Text: DOI arXiv
Gérard, Christian Scattering theory for Klein-Gordon equations with non-positive energy. (English) Zbl 1253.81049 Ann. Henri Poincaré 13, No. 4, 883-941 (2012). Reviewer: Michael Perelmuter (Kyïv) MSC: 81Q05 47A40 35P25 81U05 81U20 46C20 PDFBibTeX XMLCite \textit{C. Gérard}, Ann. Henri Poincaré 13, No. 4, 883--941 (2012; Zbl 1253.81049) Full Text: DOI arXiv
Bouclet, Jean-Marc Low frequency estimates and local energy decay for asymptotically Euclidian Laplacians. (English) Zbl 1227.35227 Commun. Partial Differ. Equations 36, No. 7-9, 1239-1286 (2011). Reviewer: Mihai Pascu (Bucureşti) MSC: 35P25 47A40 81U05 PDFBibTeX XMLCite \textit{J.-M. Bouclet}, Commun. Partial Differ. Equations 36, No. 7--9, 1239--1286 (2011; Zbl 1227.35227) Full Text: DOI arXiv
Faupin, J.; Møller, J. S.; Skibsted, E. Second order perturbation theory for embedded eigenvalues. (English) Zbl 1229.47019 Commun. Math. Phys. 306, No. 1, 193-228 (2011). Reviewer: Takashi Ichinose (Kanazawa) MSC: 47A55 47A75 81Q10 PDFBibTeX XMLCite \textit{J. Faupin} et al., Commun. Math. Phys. 306, No. 1, 193--228 (2011; Zbl 1229.47019) 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
Rasulov, T. Kh. On the number of eigenvalues of a matrix operator. (English. Russian original) Zbl 1222.47002 Sib. Math. J. 52, No. 2, 316-328 (2011); translation from Sib. Mat. Zh. 52, No. 2, 400-415 (2011). MSC: 47A10 81Q10 PDFBibTeX XMLCite \textit{T. Kh. Rasulov}, Sib. Math. J. 52, No. 2, 316--328 (2011; Zbl 1222.47002); translation from Sib. Mat. Zh. 52, No. 2, 400--415 (2011) Full Text: DOI
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
Gérard, Christian; Møller, Jacob Schach; Rasmussen, Morten Grud Asymptotic completeness in quantum field theory: translation invariant Nelson type models restricted to the vacuum and one-particle sectors. (English) Zbl 1209.81149 Lett. Math. Phys. 95, No. 2, 109-134 (2011). MSC: 81T10 81Q10 47A40 81U30 81T05 81S20 PDFBibTeX XMLCite \textit{C. Gérard} et al., Lett. Math. Phys. 95, No. 2, 109--134 (2011; Zbl 1209.81149) Full Text: DOI arXiv
Kitada, Hitoshi A remark on simple scattering theory. (English) Zbl 1208.35098 Commun. Math. Anal. 11, No. 2, 124-138 (2011). MSC: 35P25 81U05 47A40 35J10 35S30 PDFBibTeX XMLCite \textit{H. Kitada}, Commun. Math. Anal. 11, No. 2, 124--138 (2011; Zbl 1208.35098) Full Text: Euclid
Thierry, Daudé Time-dependent scattering theory for charged Dirac fields on a Reissner-Nordström black hole. (English) Zbl 1314.81087 J. Math. Phys. 51, No. 10, 102504, 57 p. (2010). MSC: 81Q35 81Q05 81U20 82C10 83C57 37L05 47A40 PDFBibTeX XMLCite \textit{D. Thierry}, J. Math. Phys. 51, No. 10, 102504, 57 p. (2010; Zbl 1314.81087) Full Text: DOI
Goldberg, Michael A dispersive bound for three-dimensional Schrödinger operators with zero energy eigenvalues. (English) Zbl 1223.35265 Commun. Partial Differ. Equations 35, No. 9, 1610-1634 (2010). Reviewer: Nils Ackermann (Mexico City) MSC: 35Q41 81U30 35J10 47D08 PDFBibTeX XMLCite \textit{M. Goldberg}, Commun. Partial Differ. Equations 35, No. 9, 1610--1634 (2010; Zbl 1223.35265) Full Text: DOI arXiv
Boussaid, Nabile; Golénia, Sylvain Limiting absorption principle for some long range perturbations of Dirac systems at threshold energies. (English) Zbl 1205.81084 Commun. Math. Phys. 299, No. 3, 677-708 (2010). Reviewer: Monika Winklmeier (Bogotá) MSC: 81Q10 47B47 47A11 PDFBibTeX XMLCite \textit{N. Boussaid} and \textit{S. Golénia}, Commun. Math. Phys. 299, No. 3, 677--708 (2010; Zbl 1205.81084) Full Text: DOI arXiv
Komech, A. I.; Kopylova, E. A. Weighted energy decay for 1D Klein-Gordon equation. (English) Zbl 1190.35134 Commun. Partial Differ. Equations 35, No. 2, 353-374 (2010). Reviewer: Petar Popivanov (Sofia) MSC: 35L10 34L25 47A40 81U05 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{E. A. Kopylova}, Commun. Partial Differ. Equations 35, No. 2, 353--374 (2010; Zbl 1190.35134) Full Text: DOI
Komech, A. I.; Kopylova, E. A. Weighted energy decay for 3D Klein-Gordon equation. (English) Zbl 1185.35023 J. Differ. Equations 248, No. 3, 501-520 (2010). Reviewer: Yakov Yakubov (Tel-Aviv) MSC: 35B40 35L15 47A40 35J10 81U05 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{E. A. Kopylova}, J. Differ. Equations 248, No. 3, 501--520 (2010; Zbl 1185.35023) Full Text: DOI arXiv
Friesecke, Gero; Koppen, Mario On the Ehrenfest theorem of quantum mechanics. (English) Zbl 1223.81105 J. Math. Phys. 50, No. 8, 082102, 6 p. (2009). MSC: 81Q10 81P05 47B25 47A60 81S05 81V55 PDFBibTeX XMLCite \textit{G. Friesecke} and \textit{M. Koppen}, J. Math. Phys. 50, No. 8, 082102, 6 p. (2009; Zbl 1223.81105) 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
Fröhlich, Jürg; Pizzo, Alessandro On the absence of excited eigenstates of atoms in QED. (English) Zbl 1179.81174 Commun. Math. Phys. 286, No. 3, 803-836 (2009). Reviewer: Gert Roepstorff (Aachen) MSC: 81V10 81V45 81Q10 47N50 PDFBibTeX XMLCite \textit{J. Fröhlich} and \textit{A. Pizzo}, Commun. Math. Phys. 286, No. 3, 803--836 (2009; Zbl 1179.81174) Full Text: DOI
Gérard, C.; Panati, A. Spectral and scattering theory for some abstract QFT Hamiltonians. (English) Zbl 1166.81326 Rev. Math. Phys. 21, No. 3, 373-437 (2009). MSC: 81Q10 81T08 47N50 81-02 81U05 81T10 PDFBibTeX XMLCite \textit{C. Gérard} and \textit{A. Panati}, Rev. Math. Phys. 21, No. 3, 373--437 (2009; Zbl 1166.81326) Full Text: DOI arXiv
Golénia, Sylvain Positive commutators, Fermi golden rule and the spectrum of zero temperature Pauli-Fierz Hamiltonians. (English) Zbl 1166.81017 J. Funct. Anal. 256, No. 8, 2587-2620 (2009). Reviewer: Miyeon Kwon (Platteville, WI) MSC: 81Q10 47A40 PDFBibTeX XMLCite \textit{S. Golénia}, J. Funct. Anal. 256, No. 8, 2587--2620 (2009; Zbl 1166.81017) Full Text: DOI arXiv
Gérard, Christian A proof of the abstract limiting absorption principle by energy estimates. (English) Zbl 1141.47017 J. Funct. Anal. 254, No. 11, 2707-2724 (2008). Reviewer: Petru A. Cojuhari (Kraków) MSC: 47B25 47N50 47A40 81U05 PDFBibTeX XMLCite \textit{C. Gérard}, J. Funct. Anal. 254, No. 11, 2707--2724 (2008; Zbl 1141.47017) Full Text: DOI
Ratnakumar, P. K. On Schrödinger propagator for the special Hermite operator. (English) Zbl 1214.42058 J. Fourier Anal. Appl. 14, No. 2, 286-300 (2008). MSC: 42C10 35G10 47A63 PDFBibTeX XMLCite \textit{P. K. Ratnakumar}, J. Fourier Anal. Appl. 14, No. 2, 286--300 (2008; Zbl 1214.42058) Full Text: DOI
Zhou, Gang Perturbation expansion and \(N\)th order Fermi golden rule of the nonlinear Schrödinger equations. (English) Zbl 1144.81430 J. Math. Phys. 48, No. 5, 053509, 23 p. (2007). MSC: 47N50 35Q55 81Q15 PDFBibTeX XMLCite \textit{G. Zhou}, J. Math. Phys. 48, No. 5, 053509, 23 p. (2007; Zbl 1144.81430) Full Text: DOI
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
Iftimie, Viorel; Măntoiu, Marius; Purice, Radu Magnetic pseudodifferential operators. (English) Zbl 1165.35056 Publ. Res. Inst. Math. Sci. 43, No. 3, 585-623 (2007). MSC: 35S05 47G30 81Q10 PDFBibTeX XMLCite \textit{V. Iftimie} et al., Publ. Res. Inst. Math. Sci. 43, No. 3, 585--623 (2007; Zbl 1165.35056) Full Text: DOI arXiv
Adachi, Tadayoshi Asymptotic completeness for \(N\)-body quantum systems with long-range interactions in a time-periodic electric field. (English) Zbl 1137.81044 Commun. Math. Phys. 275, No. 2, 443-477 (2007). Reviewer: Ricardo Weder (México City) MSC: 81U10 35P25 47A40 47N50 PDFBibTeX XMLCite \textit{T. Adachi}, Commun. Math. Phys. 275, No. 2, 443--477 (2007; Zbl 1137.81044) Full Text: DOI
Fröhlich, J.; Griesemer, M.; Schlein, B. Rayleigh scattering at atoms with dynamical nuclei. (English) Zbl 1137.81047 Commun. Math. Phys. 271, No. 2, 387-430 (2007). MSC: 81V10 47N50 81V45 81V80 81U05 PDFBibTeX XMLCite \textit{J. Fröhlich} et al., Commun. Math. Phys. 271, No. 2, 387--430 (2007; Zbl 1137.81047) Full Text: DOI arXiv Link
Melgaard, Michael Scattering properties for a pair of Schrödinger type operators on cylindrical domains. (English) Zbl 1157.35073 Cent. Eur. J. Math. 5, No. 1, 134-153 (2007). Reviewer: Mohammed Bouchekif (Tlemcen) MSC: 35P25 47A40 47F05 35J10 PDFBibTeX XMLCite \textit{M. Melgaard}, Cent. Eur. J. Math. 5, No. 1, 134--153 (2007; Zbl 1157.35073) Full Text: DOI
Albeverio, Sergio; Lakaev, Saidakhmat N.; Rasulov, Tulkin H. On the spectrum of an Hamiltonian in Fock space. Discrete spectrum asymptotics. (English) Zbl 1126.81022 J. Stat. Phys. 127, No. 2, 191-220 (2007). MSC: 81Q10 47A10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Stat. Phys. 127, No. 2, 191--220 (2007; Zbl 1126.81022) Full Text: DOI arXiv
Georgescu, Vladimir On the spectral analysis of quantum field Hamiltonians. (English) Zbl 1121.46055 J. Funct. Anal. 245, No. 1, 89-143 (2007). MSC: 46L60 81T05 47N50 PDFBibTeX XMLCite \textit{V. Georgescu}, J. Funct. Anal. 245, No. 1, 89--143 (2007; Zbl 1121.46055) Full Text: DOI arXiv
Erdoğan, M. Burak; Schlag, Wilhelm Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. II. (English) Zbl 1146.35324 J. Anal. Math. 99, 199-248 (2006). MSC: 35B45 47D06 35Q40 81Q10 PDFBibTeX XMLCite \textit{M. B. Erdoğan} and \textit{W. Schlag}, J. Anal. Math. 99, 199--248 (2006; Zbl 1146.35324) Full Text: DOI arXiv
Babin, A.; Figotin, A. Linear superposition in nonlinear wave dynamics. (English) Zbl 1120.82010 Rev. Math. Phys. 18, No. 9, 971-1053 (2006). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C20 35L60 58C15 47J07 35Q53 34C15 37K60 35Q51 35Q60 39A12 PDFBibTeX XMLCite \textit{A. Babin} and \textit{A. Figotin}, Rev. Math. Phys. 18, No. 9, 971--1053 (2006; Zbl 1120.82010) Full Text: DOI arXiv
Goldberg, Michael; Visan, Monica A counterexample to dispersive estimates for Schrödinger operators in higher dimensions. (English) Zbl 1110.35073 Commun. Math. Phys. 266, No. 1, 211-238 (2006). Reviewer: Alexander I. Kheyfits (Bronx) MSC: 35Q40 35J10 81Q05 47F05 PDFBibTeX XMLCite \textit{M. Goldberg} and \textit{M. Visan}, Commun. Math. Phys. 266, No. 1, 211--238 (2006; Zbl 1110.35073) 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. (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
Yajima, K. Dispersive estimates for Schrödinger equations with threshold resonance and eigenvalue. (English) Zbl 1079.81021 Commun. Math. Phys. 259, No. 2, 475-509 (2005). MSC: 81Q10 47N50 35P15 35Q40 PDFBibTeX XMLCite \textit{K. Yajima}, Commun. Math. Phys. 259, No. 2, 475--509 (2005; Zbl 1079.81021) Full Text: DOI