On the spectrum of the Schrödinger operator with a constant magnetic field plus a decreasing radial potential
The spectral problem for a class of 2-D Schrödinger operators with a constant magnetic field plus a decreasing radial potential is investigated. The spectrum consists of clusters of real positive eigenvalues which accumulate to zero. Asymptotic expansions of the eigenvalues are established and the coefficients of this expansion are related to a certain transformation of the potential. Explicit formulae for the Weinstein band invariants of cluster distribution measures are reported.
asymptotic expansions of the eigenvalues
scientific article; zbMATH DE number 1213988
scientific article