A realistic exponential estimate for a paradigm hamiltonian
P. Lochak, A. Porzio (1989)
Annales de l'I.H.P. Physique théorique
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Displaying similar documents to “Rigorous numerical stability estimates for the existence of KAM tori in a forced pendulum”
A realistic exponential estimate for a paradigm hamiltonian
Rigorous results on the power expansions for the integrals of a hamiltonian system near an elliptic equilibrium point
Antonio Giorgilli (1988)
Annales de l'I.H.P. Physique théorique
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Stability and instability for Gevrey quasi-convex near-integrable hamiltonian systems
Jean-Pierre Marco, David Sauzin (2003)
Publications Mathématiques de l'IHÉS
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On classical intrinsically resonant formal perturbation theory
Marcin Moszyński (1995)
Annales de l'I.H.P. Physique théorique
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A Lieb-Thirring bound for a magnetic Pauli Hamiltonian (II).
Luca Bugliaro, Charles L. Fefferman, Gian Michele Graf (1999)
Revista Matemática Iberoamericana
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We establish a Lieb-Thirring type estimate for Pauli Hamiltonians with non-homogeneous magnetic fields. Besides of depending on the size of the field, the bound also takes into account the size of the field gradient. We then apply the inequality to prove stability of non-relativistic quantum mechanical matter coupled to the quantized ultraviolet-cutoff electromagnetic field for arbitrary values of the fine structure constant.
Absence of geometrical phases in the rotating stark effect
Emanuela Caliceti, Stefano Marmi, Franco Nardini (1992)
Annales de l'I.H.P. Physique théorique
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