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math-ph2009
Confining quantum particles with a purely magnetic field
Yves Colin De Verdière, Francoise Truc
We consider an open domain with a compact boundary in an Euclidean space and a Schroedinger operator with magnetic field on this domain. We give sufficient conditions on the rate o…
math-ph2009
Born-Oppenheimer-type Approximations for Degenerate Potentials: Recent Results and a Survey on the area
Francoise Truc
This paper is devoted to the asymptotics of eigenvalues for a Schrö-dinger operator in the case when the potential V does not tend to infinity at infinity. Such a potential is call…