Briet, Philippe The integrated density of states for magnetic Schrödinger operators. (English) Zbl 1162.81373 Commun. Math. Anal., Conference 2, 21-31 (2008). Summary: We consider the integrated density of states for a certain class of second order differential operators. We give recent mathematical results and some applications in studying of quantum mechanical systems. MSC: 81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis 47F05 General theory of partial differential operators 47N55 Applications of operator theory in statistical physics (MSC2000) 82B30 Statistical thermodynamics 35J10 Schrödinger operator, Schrödinger equation Keywords:Schrödinger operators; spectral analysis; integrated density of states; Gibbs states PDFBibTeX XMLCite \textit{P. Briet}, Commun. Math. Anal., 21--31 (2008; Zbl 1162.81373)