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arXiv · 1310.5296

New criteria for self-adjointness and its application to Dirac-Maxwell Hamiltonian

Shinichiro Futakuchi·Kouta Usui
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Abstract

We present a new theorem concerning a sufficient condition for a symmetric operator acting in a complex Hilbert space to be essentially self-adjoint. By applying the theorem, we prove that the Dirac Maxwell Hamiltonian, which describes a quantum system of a Dirac particle and a radiation field minimally interacting with each other, is essentially self-adjoint. Our theorem covers the case where the Dirac particle is in the Coulomb type potential.

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Shinichiro Futakuchi, Kouta Usui. 2013-10-20. New criteria for self-adjointness and its application to Dirac-Maxwell Hamiltonian. https://doi.org/10.1007/s11005-014-0708-z

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