Structure of the Spectra and Resonances of Schrödinger Operators

  • Tahar Bouguetaia University of Oran
  • Bekkai Messirdi University of Oran
Keywords: Schrödinger operator; Spectrum; Periodic potential; Resonances.

Abstract

The main goal of this paper is to study the spectrum and resonances of several classes of Schrödinger operators. Two important examples occurring in mathematical physics are discussed: harmonic oscillator and Hamiltonian of hydrogen atom.

Keywords: Schrödinger operator, Spectrum, Periodic potential, Resonances.

Author Biographies

Tahar Bouguetaia, University of Oran

High School of Electrical and Energetic Engineering, ESGEE-Oran, Laboratory of Fundamental and Applicable Mathematics of Oran (LMFAO), University of Oran, Ahmed Ben Bella, Algeria

Bekkai Messirdi, University of Oran

High School of Electrical and Energetic Engineering, ESGEE-Oran, Laboratory of Fundamental and Applicable Mathematics of Oran (LMFAO), University of Oran, Ahmed Ben Bella, Algeria

Published
2020-04-30
Section
Research Paper

Journal Identifiers


eISSN: 2220-184X
print ISSN: 2073-073X