40 citations · 107 across the 8 of their papers we have counts for
5 papers · 2 filters
Some properties of the one-dimensional generalized point interactions (a torso)
P. Exner, H. Grosse
This text is a part of an unfinished project which deals with the generalized point interaction (GPI) in one dimension. We employ two natural parametrizations, which are known but…
Anomalous Pauli electron states for magnetic fields with tails
Pavel Exner, Masao Hirokawa, Osamu Ogurisu
We consider a two-dimensional electron with an anomalous magnetic moment, g>2, interacting with a nonzero magnetic field B perpendicular to the plane which gives rise to a flux F.…
Point interactions in a tube
Pavel Exner
We discuss discuss spectral and scattering properties of a particle confined to a straight Dirichlet tube in with a family of point interactions.
Anomalous electron trapping by localized magnetic fields
F. Bentosela, R. M. Cavalcanti, P. Exner +1
We consider an electron with an anomalous magnetic moment g>2 confined to a plane and interacting with a nonzero magnetic field B perpendicular to the plane. We show that if B has…
Optimal eigenvalues for some Laplacians and Schrödinger operators depending on curvature
Pavel Exner, Evans M. Harrell, Michael Loss
This article is an expanded version of the plenary talk given by Evans Harrell at QMath98, a meeting in Prague, June 1998. We consider Laplace operators and Schrödinger operators w…