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arxiv: 1806.10831 · v1 · pith:WAWX7ABUnew · submitted 2018-06-28 · 🧮 math.SP

General Dirac Operators as Generators of Operator Groups

classification 🧮 math.SP
keywords operatordiracoperatorsgeneralpropertiessimilarasymptoticsdescribe
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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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