SEMICLASSICAL QUANTIZATION IN MOMENTUM-SPACE

Three-dimensional, spherically symmetric Hamilton operators, which con sist of the sum of an arbitrary effective kinetic energy and an attrac tive Coulomb potential, are quantized semiclassically. The semiclassic al quantization rule that we derive passes the test of estimating the Bohr energies of hydrogenlike atoms successfully. The semiclassical sp ectrum of Thomas-Fermi atoms, which are described in terms of an effec tive kinetic energy, is found to agree essentially with the spectrum o btained in the standard formalism that employs an effective potential energy.