most citedZeroes of the spectral density of the periodic Schroedinger operator with Wigner-von Neumann potential

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math.SP2011

Spectral analysis of the half-line Kronig-Penney model with Wigner-von Neumann perturbations

Vladimir Lotoreichik, Sergey Simonov

The spectrum of the self-adjoint Schrödinger operator associated with the Kronig-Penney model on the half-line has a band-gap structure: its absolutely continuous spectrum consists…

math.SP2011★ 11 cited

Zeroes of the spectral density of the periodic Schroedinger operator with Wigner-von Neumann potential

Sergey Naboko, Sergey Simonov

We consider the Schroedinger operator L_α on the half-line with a periodic background potential and the Wigner-von Neumann potential of Coulomb type: csin(2ωx+d)/(x+1). It is known…