Table 1: Properties of one-body semiclassical
spectrum labeled by the integer j for
four solvable potentials in D dimensions. The well-depth and the range R of the rectangular, linear, and oscillator wells are made finite
using the unit step function. The Coulomb well is left unrestricted over all r. For other notations, see
Appendix A. (We
do not tabulate the rigid box potential
model which has the upper end of the energy spectrum at
Such a model is of little interest in cosmology In usual physical applications, one puts )