Special comparison theorem for the Dirac equation.
If a central vector potential V(r,a) in the Dirac equation is monotonic in a parameter a, then a discrete eigenvalue E(a) is monotonic in a. For such a special class of comparisons, this generalizes an earlier comparison theorem that was restricted to node free states. Moreover, the present theorem applies to every discrete eigenvalue.
Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montreal, Quebec, Canada H3G 1M8. rhall@mathstat.concordia.ca
Richard L
RL
Hall