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math.SP2000
On the zero modes of Pauli operators
A. A. Balinsky, W. D. Evans
Two results are proved for , the dimension of the kernel of the Pauli operator $\mathbb{P}_A = \bigl\{\bbfσ \cdotp \bigl(\frac{1}{i} \bbf{\nabla} + \vec{…
math.SP1998
On the virial theorem for the relativistic operator of Brown and Ravenhall, and the absence of embedded eigenvalues
A. A. Balinsky, W. D. Evans
A virial theorem is established for the operator proposed by Brown and Ravenhall as a model for relativistic one-electron atoms. As a consequence, it is proved that the operator ha…