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arXiv · 1806.10831

General Dirac Operators as Generators of Operator Groups

Anatoly G. Baskakov·Ilya A. Krishtal·Natalia B. Uskova
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Abstract

We use the method of similar operators to study a general Dirac operator $L$ and its spectral properties. We find a similar operator to the Dirac operator that is an orthogonal direct sum of simpler operators. The result is used to describe an operator group generated by the operator $iL$ and study its properties such as the asymptotics of the spectrum.

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Anatoly G. Baskakov, Ilya A. Krishtal, Natalia B. Uskova. 2018-06-28. General Dirac Operators as Generators of Operator Groups. https://arxiv.org/abs/1806.10831

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