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We give some partial results regarding to evolutionary dispersive Ginzburg–Landau equations associated to the static case considered in Béthuel, Brezis and Hélein (1). We treat the partially dissipative case. Moreover we perform an exact “semi-classical” limit. We obtain alternatively the...
We consider the semiclassical Stark effect for a family of asymmetric unstable double well models and we study the crossing and anticrossing of the field dependent resonances in the complex field plane. We prove that a Bender-Wu type singularity crosses the real axis when the internal barrier is...
In this paper we calculate the second order term of the Neumann operator for the high frequency scattering of a wave by a strictly convex obstacle Ω using the techniques introduced by G. Lebeau and used in previous works. This second term is used to calculate the scattering by Ω⊂R 2 , and the...
We study the sum of negative eigenvalues M(h,μ) of the Schrödinger operator HV(h,μ) in L 2 (R 3 ) with a decaying at infinity potential V and a homogeneous magnetic field of intensity μ. The parameter h denotes the Planck constant. Assuming that V has a finite number of Coulomb singularities...
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