Elgart, Alexander; Hagedorn, George A. A note on the switching adiabatic theorem. (English) Zbl 1283.81034 J. Math. Phys. 53, No. 10, 102202, 14 p. (2012). Reviewer: Gernot Schaller (Berlin) MSC: 81P68 35Q41 81Q05 68Q12 34E05 70H11 PDFBibTeX XMLCite \textit{A. Elgart} and \textit{G. A. Hagedorn}, J. Math. Phys. 53, No. 10, 102202, 14 p. (2012; Zbl 1283.81034) Full Text: DOI arXiv
Bourquin, Raoul; Gradinaru, Vasile; Hagedorn, George A. Non-adiabatic transitions near avoided crossings: theory and numerics. (English) Zbl 1244.92061 J. Math. Chem. 50, No. 3, 602-619 (2012). MSC: 92E10 92E99 65C20 PDFBibTeX XMLCite \textit{R. Bourquin} et al., J. Math. Chem. 50, No. 3, 602--619 (2012; Zbl 1244.92061) Full Text: DOI
Hagedorn, George A.; Toloza, Julio H. Exponentially accurate semiclassical asymptotics of low-lying eigenvalues for \(2\times 2\) matrix Schrödinger operators. (English) Zbl 1078.81025 J. Math. Anal. Appl. 312, No. 1, 300-329 (2005). Reviewer: Takashi Ichinose (Kanazawa) MSC: 81Q20 35J10 35B40 81P10 81V55 PDFBibTeX XMLCite \textit{G. A. Hagedorn} and \textit{J. H. Toloza}, J. Math. Anal. Appl. 312, No. 1, 300--329 (2005; Zbl 1078.81025) Full Text: DOI
Hagedorn, George A.; Joye, Alain Time development of exponentially small non-adiabatic transitions. (English) Zbl 1059.81043 Commun. Math. Phys. 250, No. 2, 393-413 (2004). MSC: 81Q05 81Q70 81U99 PDFBibTeX XMLCite \textit{G. A. Hagedorn} and \textit{A. Joye}, Commun. Math. Phys. 250, No. 2, 393--413 (2004; Zbl 1059.81043) Full Text: DOI arXiv
Hagedorn, George A.; Joye, Alain Elementary exponential error estimates for the adiabatic approximation. (English) Zbl 1051.81010 J. Math. Anal. Appl. 267, No. 1, 235-246 (2002). Reviewer: Michael Perelmuter (Kyïv) MSC: 81Q10 47N50 81Q15 PDFBibTeX XMLCite \textit{G. A. Hagedorn} and \textit{A. Joye}, J. Math. Anal. Appl. 267, No. 1, 235--246 (2002; Zbl 1051.81010) Full Text: DOI Link
Hagedorn, George A.; Joye, Alain Molecular propagation through small avoided crossings of electron energy levels. (English) Zbl 0965.81138 Rev. Math. Phys. 11, No. 1, 41-101 (1999). MSC: 81V55 81Q15 PDFBibTeX XMLCite \textit{G. A. Hagedorn} and \textit{A. Joye}, Rev. Math. Phys. 11, No. 1, 41--101 (1999; Zbl 0965.81138) Full Text: DOI
Hagedorn, George A.; Joye, Alain Landau-Zener transitions through small electric eigenvalue gaps in the Born-Oppenheimer approximation. (English) Zbl 0915.35090 Ann. Inst. Henri Poincaré, Phys. Théor. 68, No. 1, 85-134 (1998). Reviewer: André Martinez (Bologna) MSC: 35Q40 81V55 PDFBibTeX XMLCite \textit{G. A. Hagedorn} and \textit{A. Joye}, Ann. Inst. Henri Poincaré, Phys. Théor. 68, No. 1, 85--134 (1998; Zbl 0915.35090) Full Text: Numdam EuDML