three quantum numbers: total energy, angular momentum and the projection of angular momentum.

Consequences of parity symmetry

When parity generates the Abelian group , one can always take linear combinations of quantum states such that they are either even or odd under parity (see the figure). Thus the parity of such states is ±1. The parity of a multiparticle state is the product of the parities of each state; in other words parity is a multiplicative quantum number.

In quantum

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