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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Emanuela Caliceti, Stefano Marmi, Franco Nardini (1992)
Annales de l'I.H.P. Physique théorique
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Pavel M. Bleher, Alexander Its (2005)
Annales de l’institut Fourier
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We prove a number of results concerning the large asymptotics of the free energy of a random matrix model with a polynomial potential. Our approach is based on a deformation of potential and on the use of the underlying integrable structures of the matrix model. The main results include the existence of a full asymptotic expansion in even powers of of the recurrence coefficients of the related orthogonal polynomials for a one-cut regular potential and the double scaling asymptotics...
Yves Pomeau (1986)
Annales de l'I.H.P. Physique théorique
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Jean Bellissard, Michel Vittot (1990)
Annales de l'I.H.P. Physique théorique
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Soren Fournais (2002)
Annales de l’institut Fourier
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We prove a formula for the current in an electron gas in a semiclassical limit corresponding to strong, constant, magnetic fields. Little regularity is assumed for the scalar potential . In particular, the result can be applied to the mean field from magnetic Thomas-Fermi theory . The proof is based on an estimate on the density of states in the second Landau band.