56 citations · 305 across the 37 of their papers we have counts for
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math.SP2013
Geometry and Spectrum in 2D Magnetic Wells
Nicolas Raymond, San Vu Ngoc
This paper is devoted to the classical mechanics and spectral analysis of a pure magnetic Hamiltonian in . It is established that both the dynamics and the semiclassical spec…
math-ph2013★ 17 cited
Magnetic effects in curved quantum waveguides
David Krejcirik, Nicolas Raymond
The interplay among the spectrum, geometry and magnetic field in tubular neighbourhoods of curves in Euclidean spaces is investigated in the limit when the cross section shrinks to…
math-ph2013★ 4 cited
The magnetic Laplacian in shrinking tubular neighbourhoods of hypersurfaces
David Krejcirik, Nicolas Raymond, Matej Tusek
The Dirichlet Laplacian between two parallel hypersurfaces in Euclidean spaces of any dimension in the presence of a magnetic field is considered in the limit when the distance bet…