arXiv Open Access 2011

Eigenvalue bounds for two-dimensional magnetic Schroedinger operators

Hynek Kovarik

Lihat Sumber

Abstrak

We prove that the number of negative eigenvalues of two-dimensional magnetic Schroedinger operators is bounded from above by the strength of the corresponding electric potential. Such estimates fail in the absence of a magnetic field. We also show how the corresponding upper bounds depend on the properties of the magnetic field and discuss their connection with Hardy-type inequalities.

Topik & Kata Kunci

math.SP math-ph

Penulis (1)

Hynek Kovarik

Format Sitasi

APA MLA BibTeX

Kovarik, H. (2011). Eigenvalue bounds for two-dimensional magnetic Schroedinger operators. https://arxiv.org/abs/1103.5194

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2011
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓