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arXiv · 1403.6900

Spectral problems about many-body Dirac operators mentioned by Dereziński

Takashi Okaji·Hubert Kalf·Osanobu Yamada
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Abstract

We consider spectral problems for many-body Dirac operators mentioned by Dereziński in the IAMP News Bulletin of January 2012. In particular, we derive a representation of the Dirac Coulomb operator for a helium-like ion as a matrix operator of order sixteen. We show that it is essentially self-adjoint (under natural restrictions on the coupling constants), that the essential spectrum of its closure is the whole real line and that it has no eigenvalues.

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Takashi Okaji, Hubert Kalf, Osanobu Yamada. 2014-03-27. Spectral problems about many-body Dirac operators mentioned by Dereziński. https://arxiv.org/abs/1403.6900

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