Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
30 (1989), S. 601-607
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
It is shown that the ground state energy in a central potential is a concave (convex) function of angular momentum l when this potential is a concave (convex) function of r2. A result stronger than concavity is obtained when the Laplacian of the potential is negative. New bounds in the kinetic energy of these states are derived in terms of energy differences and for s states in terms of the wave function at the origin. These bounds can be used to give good estimates of the ground state energies for power law potentials.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.528425
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