A note on a linear spectral theorem for a class of first order systems in .
Boscaggin, A., Garrione, M. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Displaying similar documents to “Normal forms for conical intersections in quantum chemistry.”
A note on a linear spectral theorem for a class of first order systems in .
The level crossing problem in semi-classical analysis I. The symmetric case
Yves Colin de Verdière (2003)
Annales de l’institut Fourier
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We describe a microlocal normal form for a symmetric system of pseudo-differential equations whose principal symbol is a real symmetric matrix with a generic crossing of eigenvalues. We use it in order to give a precise description of the microlocal solutions.
Rotation numbers for Jacobi matrices with matrix entries.
Schulz-Baldes, Hermann (2007)
Mathematical Physics Electronic Journal [electronic only]
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Principal and nonprincipal solutions of symplectic dynamic systems on time scales.
Došlý, Ondřej (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Erratum to “Non-trapping condition for semiclassical Schrödinger operators with matrix-valued potentials”.
Jecko, Thierry (2007)
Mathematical Physics Electronic Journal [electronic only]
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The time-dependent Born-Oppenheimer approximation
Gianluca Panati, Herbert Spohn, Stefan Teufel (2007)
ESAIM: Mathematical Modelling and Numerical Analysis
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We explain why the conventional argument for deriving the time-dependent Born-Oppenheimer approximation is incomplete and review recent mathematical results, which clarify the situation and at the same time provide a systematic scheme for higher order corrections. We also present a new elementary derivation of the correct second-order time-dependent Born-Oppenheimer approximation and discuss as applications the dynamics near a conical intersection of potential surfaces and reactive...
Weyl-Titchmarsh theory for time scale symplectic systems on half line.
Šimon Hilscher, Roman, Zemánek, Petr (2011)
Abstract and Applied Analysis
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