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math.SP2013
Asymptotics of spectral gaps of 1D Dirac operator with two exponential terms potential
Berkay Anahtarci, Plamen Djakov
The one-dimensional Dirac operator \begin{equation*} L = i \begin{pmatrix} 1 & 0 \\ 0 & -1 \end{pmatrix} \frac{d}{dx} +\begin{pmatrix} 0 & P(x) \\ Q(x) & 0 \end{pmatrix}, \quad P,Q…
math.SP2013★ 4 cited
Asymptotic formulas for spectral gaps and deviations of Hill and 1D Dirac operators
Plamen Djakov, Boris Mityagin
Let be the Hill operator or the one dimensional Dirac operator on the interval If is considered with Dirichlet, periodic or antiperiodic boundary conditions, then…