2007/03/05 by Evgeny Korotyaev · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics #math-ph #math.MP #math.SP
paper · pdf · doi:10.1007/s11005-007-0212-9
arxiv created 2007/03/05 · openalex publication_date 2007/12/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
We consider the Schrödinger operator with a periodic potential on quasi-1D models of zigzag single-wall carbon nanotubes in magnetic field. The spectrum of this operator consists of an absolutely continuous part (intervals separated by gaps) plus an infinite number of eigenvalues with infinite multiplicity. We obtain identities and a priori estimates in terms of effective masses and gap lengths.