Structure 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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom