Schrödinger Operators with Multiple Aharonov–Bohm Fluxes
Schrödinger Operators with Multiple Aharonov–Bohm Fluxes
Abstract We study the Schrödinger operator describing a two-dimensional quantum particle moving in the presence of $$ N \geqslant 1$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>N</mml:mi> <mml:mo>⩾</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> Aharonov–Bohm magnetic fluxes. We classify all the self-adjont realizations of such an operator, providing an explicit characterization of their domains and actions. …