arXiv Open Access 2023

No eigenvectors embedded in the singular continuous spectrum of Schrödinger operators

Kota Ujino

Lihat Sumber

Abstrak

It is known that the spectrum of Schrödinger operators with sparse potentials consists of singular continuous spectrum. We give a sufficient condition so that the edge of the singular continuous spectrum is not an eigenvalue and construct examples with singular continuous spectrum which have no eigenvalues and which have a single negative eigenvalue.

Topik & Kata Kunci

math.SP

Penulis (1)

Kota Ujino

Format Sitasi

APA MLA BibTeX

Ujino, K. (2023). No eigenvectors embedded in the singular continuous spectrum of Schrödinger operators. https://arxiv.org/abs/2301.05899

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓