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We study the asymptotics of the spectrum of the Dirac operator on the real line with a potential in $$L_2 $$ . It is shown that the spectrum of such… Click to show full abstract
We study the asymptotics of the spectrum of the Dirac operator on the real line with a potential in $$L_2 $$ . It is shown that the spectrum of such an operator lies in a domain of the complex plane symmetric about the real axis and bounded by the graph of some continuous real-valued square integrable function. To prove this, we use the $$L_1 $$ -functional calculus for self-adjoint operators and a suitable similarity transformation.
Keywords:
operator real;
spectral properties;
real line;
properties dirac;
dirac operator
Journal Title: Differential Equations
Year Published: 2021
Link to full text (if available)
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Journal Title: Differential Equations
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!