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arxiv: 1604.03933 · v3 · pith:F6PNVGQInew · submitted 2016-04-13 · 🧮 math.AP

Kato's Inequality for Magnetic Relativistic Schr\"odinger Operators

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keywords magneticodingeroperatorschrinequalitykatorelativisticdefined
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Kato's inequality is shown for the magnetic relativistic Schr\"odinger operator $H_{A,m}$ defined as the operator theoretical {\it square root} of the selfadjoint, magnetic nonrelativistic Schr\"odinger operator $(-i\nabla-A(x))^2+m^2$ with an $L^{2}_{\text{\rm loc}}$ vector potential $A(x)$.

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