Essential Spectral Singularities and the Spectral Expansion for the Hill Operator

2015/12/14 by O. A. Veliev, Veliev, O. A. · 1 citation
Mathematics · Physics and Astronomy · #FOS: Mathematics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1512.04473

openalex publication_date 2015/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we investigate the spectral expansion for the one-dimensional Schrodinger operator with a periodic complex-valued potential. For this we consider in detail the spectral singularities and introduce new concepts as essential spectral singularities and singular quasimomenta.

Citations

• On the Spectral Singularities and Spectrality of the Hill Operator

Cited by

• A Brief Explanation of the Spectral Expansion Method for Non-Self-Adjoint Differential Operators with Periodic Coefficients

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