On the spacing of the quasi-Landau resonances

摘要: Simple analytical expressions for the spacing between quasi-Landau resonances, covering whole energy range are derived. The obtained in a first-order WKB approximation considering m = 0 spinless electron to move t plane. In addition, we show crossing over of at negative energies and that is not very sensitive presence centrifugal barrier. After experiments Garton Tomkins (1969)' much work was concentrated on study resonances zero energy. This motivated by their observation absorption spectrum Ba magnetic field B 24 kG which broad resoances spaced approximately 1.5 hw were found near E (w eB/Mc cyclotron frequency where M mass). striking feature explained through semiclassical argument O'Connell (1974). explanations same fact provided Edmonds (1970), Starace (1973) Rau (1979). An account current status this area may be Gay (1980). main problem studying motion moving combined Coulomb fields resulting Schrodinger equation system separable. Indeed, if one follows Landau Lifshits (1977) writes wavefunction cylindrical coordinates as (Starace 1973)