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math.SP2003★ 5 cited
Discreteness of spectrum and positivity criteria for Schrödinger operators
Vladimir Maz'ya, Mikhail Shubin
We provide a class of necessary and sufficient conditions for the discreteness of spectrum of Schrödinger operators with scalar potentials which are semibounded below. The classica…
math.SP2002★ 9 cited
Discreteness of spectrum and strict positivity criteria for magnetic Schrödinger operators
Vladimir Kondratiev, Vladimir Maz'ya, Mikhail Shubin
We establish necessary and sufficient conditions for the discreteness of spectrum and strict positivity of magnetic Schrödinger operators with a positive scalar potential. They are…