1986•American Journal of PhysicsRequires access

Ladder operators for orbital angular momentum

O. L. de Lange, R. E. Raab

Abstract

Three pairs of abstract operators are presented which serve as ladder operators for the orbital angular momentum quantum numbers l and m. These operators are used to prove the restriction of l to integral values and also to obtain matrix elements for orbital angular momentum state vectors. The calculations are based entirely on an application of the abstract (Dirac) operator method to orbital angular momentum.

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Key concepts: Physics, Angular momentum, Azimuthal quantum number, Angular momentum operator, Total angular momentum quantum number, Angular momentum coupling, Angular momentum of light, Orbital angular momentum of light