arXiv Open Access 2012

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

Sergey Simonov

Lihat Sumber

Abstrak

We consider a discrete Schroedinger operator whose potential is the sum of a Wigner-von Neumann term and a summable term. The essential spectrum of this operator equals to the interval [-2,2]. Inside this interval, there are two critical points where eigenvalues may be situated. We prove that, generically, the spectral density of the operator has zeroes of the power type at these points.

Topik & Kata Kunci

math.SP

Penulis (1)

Sergey Simonov

Format Sitasi

APA MLA BibTeX

Simonov, S. (2012). Zeroes of the spectral density of discrete Schroedinger operator with Wigner-von Neumann potential. https://arxiv.org/abs/1203.1935

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2012
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓