97-441 Christian Tix

Self-adjointness and spectral properties of a pseudo-relativistic Hamiltonian due to Brown and Ravenhall (71K, LaTeX 2e Packages: amsxtra, amssymb, curves) Aug 11, 97

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Abstract. Some properties of a pseudo-relativistic Hamiltonian describing a one electron atom - an appropriately projected Dirac operator with Coulomb potential - proposed by Brown and Ravenhall are proven. Self-adjointness is investigated and the explicit form of the Friedrichs extension is given. The behavior of the operator near the critical coupling constant $Z_c$ is studied and the essential spectrum is determined in the case of $Z=Z_c$.

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