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math.SP2026
Eigensystems of Dirac operators with singular potentials
Boris Mityagin, Petr Siegl
We perturb one-dimensional Dirac operators on a bounded interval subject to Dirichlet boundary conditions by potentials with Fourier coefficients exhibiting power-decay. As a conse…
math.SP2026
Spectral projections of an anharmonic oscillator with complex polynomial potential
Boris Mityagin, Petr Siegl
For a broad class of polynomial potentials , with an important and instructive representative being , , , we show tha…