Open AccessStructure of the Spectra and Resonances of Schrödinger Operators
Author(s) -
Tahar Bouguetaia,
Bekkai Messirdi
Publication year - 2020
Publication title -
momona ethiopian journal of science
Language(s) - English
Resource type - Journals
eISSN - 2220-184X
pISSN - 2073-073X
DOI - 10.4314/mejs.v12i1.6
Subject(s) - hamiltonian (control theory) , schrödinger's cat , harmonic oscillator , operator (biology) , hydrogen atom , spectral line , spectrum (functional analysis) , physics , mathematical physics , quantum mechanics , mathematics , chemistry , mathematical optimization , biochemistry , repressor , transcription factor , group (periodic table) , gene
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.