Tuesday, June 12, 2012

1206.1941 (Yuriy Golovaty)

Schroedinger operators with singularly scaled magnetic and electric

Yuriy Golovaty
The norm resolvent convergence of a family of one-dimensional Schroedinger operators with singular magnetic and electric potentials of small support is studied. The results obtained heavily depend on zero-energy resonances of the electric potential. In particular, these convergence results yield the approximation of a wide class of operators with singular point interactions by operators with smooth coefficients.
View original: http://arxiv.org/abs/1206.1941

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