Generalized Angular Momentum

F. S. Levin

Victor M. Galitski, Boris Mikhailovich Karnakov, Vladimir I Kogan +1 more

Abstract This chapter analyzes issues that deal with the general properties of angular momentum; angular momentum, l = 1; the addition of angular momenta; and tensor formalism in angular momentum theory.

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).

Mario Reis

Nandita Rudra

The angular momentum operator is closely related to rotation in space. The quantum mechanical definition of angular momentum differs from the classical definition r × p of angular momentum. This expression is not sufficiently general as it cannot yield spin angular momentum which does not have a classical counterpart without having any coordinate representation.