Group properties of complex angular momentum

Kommanaboyana Srinivasa Rao, Vasudevan Lakshminarayanan

David R. Masson

BAO JIAN-REN, Zhou Lu-wei, 复旦大学物理系

The association and difference between general angular momentum and orbital angular momentum are discussed. Their association lies in the identity of local property (Lie algebra) between group SU (2) and SO (3) (isomorphism), while their difference is their distinctive integral property. The minimal unit ?/2 of the general angular momentum is determined by the local properties of the groups, namely the commutation relation of Lie algebra (or commutor of angular momentum). However, the minimal unit ? of orbital angular momentum depends upon the integral property of group SO (3).

Reinhard Oehme

A. J. van Wonderen, K. Lendi

The standard representation of angular momentum on Bargmann's Hilbert space of analytic functions is extended such that domains of operators include non-analytic functions, which are square integrable. Generalized eigenfunctions of angular momentum are proposed, which contain arbitrary complex constants. The eigenfunctions are shown to satisfy a basic requirement which follows from group theory.

H. M. Nussenzveig