Hardy–Lieb–Thirring Inequalities for Fractional Pauli Operators

We provide lower bounds for the sum of the negative eigenvalues of the operator | σ · p A | 2 s - C s / | x | 2 s + V in three dimensions, where s ∈ ( 0 , 1 ] , covering the interesting physical cases s =  1 and s =  1/2. Here σ is the vector of Pauli matrices, p A = p - A , with p = - i ∇ the three...

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