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Concentration of Bloch eigenstates in the presence of gauge at the semi-classical limit by Wolansky, Gershon is a scholarly article available to read on EtoBox.

What is Concentration of Bloch eigenstates in the presence of gauge at the semi-classical limit about?

We prove a concentration result of a Bloch eigenstate in a periodic channel under a constant gauge. In the semi-classical limit $h--> 0$ these eigenstates concentrate near a maximizer of the scalar potential of the associated Schrodinger operator, provided the constant gauge converges to a critical value from above. This is in contrast with the ground states which concentrate for any gauge in this limit near a minimizer of the scalar potential.

Author

Wolansky, Gershon

Published

2009

Language

EN