SEMICLASSICAL QUANTIZATION IN MOMENTUM-SPACE

Three-dimensional, spherically symmetric Hamilton operators, which consist of the sum of an arbitrary effective kinetic energy and an attractive Coulomb potential, are quantized semiclassically. The semiclassical quantization rule that we derive passes the test of estimating the Bohr energies of hydrogenlike atoms successfully. The semiclassical spectrum of Thomas-Fermi atoms, which are described in terms of an effective kinetic energy, is found to agree essentially with the spectrum obtained in the standard formalism that employs an effective potential energy.