2020/12/26 by Wafaa Assaad, Assaad, Wafaa, Ayman Kachmar +1
Mathematics · Physics and Astronomy · #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #Surface and Thin Film Phenomena
paper · pdf · doi:10.48550/arxiv.2012.13794
openalex publication_date 2020/12/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.