Statistical Group Theory and the Distribution of Angular Momentum States
Copyright policy )Statistical Group Theory and the Distribution of Angular Momentum States
The problem of developing relations for the statistical distribution of the angular momentum states of an electron configuration lN, where l and N are large, has been considered. If D(L) is the number of times the orbital angular momentum L occurs, then, using the theory of partitions and groups, we find that the numbers D(L) are approximately distributed with respect to L according to the Wigner-type form D(L)=A(L+12) exp [−(L+12)2/2σ2]. A number of examples are examined.
- University of Canterbury New Zealand
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, statistical group theory, Applications of Lie groups to the sciences; explicit representations, Classical equilibrium statistical mechanics (general), angular momentum, distribution of angular momentum states
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, statistical group theory, Applications of Lie groups to the sciences; explicit representations, Classical equilibrium statistical mechanics (general), angular momentum, distribution of angular momentum states
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