Semianalytic study of diamagnetism in a degenerate hydrogenic manifold
The occurrence of resonant states in regions of high potential, inferred from experiments over two decades, is traced to a familiar aspect of the diagonalization of finite Hamiltonian matrices. The diagonalization generates two sets of eigenstates localized in regions of high and low potential, respectively. These sets are related by a conjugation transformation that determines the relative numbers of set elements and the scale ratio of their eigenvalue spectra. The residual eigenstates are not localized. © 1988 The American Physical Society.
Publication Source (Journal or Book title)
Physical Review A
Fano, U., Robicheaux, F., & Rau, A. (1988). Semianalytic study of diamagnetism in a degenerate hydrogenic manifold. Physical Review A, 37 (10), 3655-3665. https://doi.org/10.1103/PhysRevA.37.3655