arXiv Open Access 2020

Lowest energy band function for magnetic steps

Wafaa Assaad Ayman Kachmar

Lihat Sumber

Abstrak

We study the Schrödinger operator in the plane with a step magnetic field function. The bottom of its spectrum is described by the infimum of the lowest eigenvalue band function, for which we establish the existence and uniqueness of the non-degenerate minimum. We discuss the curvature effects on the localization properties of magnetic ground states, among other applications.

Topik & Kata Kunci

math.SP

Penulis (2)

Wafaa Assaad

Ayman Kachmar

Format Sitasi

APA MLA BibTeX

Assaad, W., Kachmar, A. (2020). Lowest energy band function for magnetic steps. https://arxiv.org/abs/2012.13794

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓