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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Singular Hamiltonian systems and symplectic capacities
Alfred Künzle (1996)
Banach Center Publications
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The purpose of this paper is to develop the basics of a theory of Hamiltonian systems with non-differentiable Hamilton functions which have become important in symplectic topology. A characteristic differential inclusion is introduced and its equivalence to Hamiltonian inclusions for certain convex Hamiltonians is established. We give two counterexamples showing that basic properties of smooth systems are violated for non-smooth quasiconvex submersions, e.g. even the energy conservation...
The level crossing problem in semi-classical analysis. II. The Hermitian case
Yves Colin de Verdière (2004)
Annales de l’institut Fourier
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This paper is the second part of the paper ``The level crossing problem in semi-classical analysis I. The symmetric case''(Annales de l'Institut Fourier in honor of Frédéric Pham). We consider here the case where the dispersion matrix is complex Hermitian.