Fw: new_abstracts 20 166

[Maria Odete Madeira]

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Subject: new_abstracts 20 166

NEW ABSTRACTS (Jun 4 to Jun 11)

==================== 20-46 ====================

Diana Barseghyan and Pavel Exner

Magnetic field influence on the discrete spectrum of locally deformed leaky wires

(167K, pdf)

ABSTRACT.  We consider magnetic Schr\"odinger operator $H=(i

abla +A)^2- lpha \delta_\Gamma$ with an attractive singular interaction supported by a piecewise smooth curve $\Gamma$ being a local deformation of a straight line. The magnetic field $B$ is supposed to be nonzero and local. We show that the essential spectrum is $[-rac14 lpha^2,\infty)$, as for the non-magnetic operator with a straight $\Gamma$, and demonstrate a sufficient condition for the discrete spectrum of $H$ to be empty.

http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=20-46

http://www.maia.ub.es/mp_arc-bin/mpa?yn=20-46

http://kleine.mat.uniroma3.it/mp_arc-bin/mpa?yn=20-46