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math.SP2000
Discreteness of spectrum for the magnetic Schrödinger operators. I
Vladimir Kondratiev, Mikhail Shubin
We provide sufficient conditions for the discreteness of spectrum for magnetic Schrödinger operators. They generalize the classical result by K.Friedrichs (1934) and earlier result…
math.SP2000
Essential self-adjointness for semi-bounded magnetic Schrödinger operators on non-compact manifolds
Mikhail Shubin
We prove essential self-adjointness for semi-bounded below magnetic Schrödinger operators on complete Riemannian manifolds with a given positive smooth measure which is fixed indep…