By developing the method of multipliers, we establish sufficient conditions on the electric potential and magnetic field which guarantee that the corresponding two-dimensional Schrödinger operator possesses no point spectrum. The settings of complex-valued electric potentials and singular magnetic potentials of Aharonov–Bohm field are also covered.
Absence of eigenvalues of two-dimensional magnetic Schrödinger operators / Fanelli, Luca; Krejčiřík, David; Vega, Luis. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - STAMPA. - 275:9(2018), pp. 2453-2472. [10.1016/j.jfa.2018.08.007]
Absence of eigenvalues of two-dimensional magnetic Schrödinger operators
FANELLI, Luca
;
2018
Abstract
By developing the method of multipliers, we establish sufficient conditions on the electric potential and magnetic field which guarantee that the corresponding two-dimensional Schrödinger operator possesses no point spectrum. The settings of complex-valued electric potentials and singular magnetic potentials of Aharonov–Bohm field are also covered.File allegati a questo prodotto
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