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.
Highlights
A big problem in mathematical physics is the description of spectral properties of Schrödinger operators
We look at some important examples occurring in mathematical physics: the harmonic oscillator and the hydrogen atom
Another critical area of mathematical quantum mechanics lies in finding resonances of P with a given potential is discussed in section 4 of this paper
Summary
A big problem in mathematical physics is the description of spectral properties of Schrödinger operators. We present some fundamental theorems about spectral and resonance theory of Schrödinger operators. K , k ∈ Rn (Stark-effect), respectively Another critical area of mathematical quantum mechanics lies in finding resonances of P with a given potential is discussed in section 4 of this paper.
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