Abstract
This chapter discusses the orbital momentum operator and spherical harmonics and related functions. Orbital angular momentum operators and spherical harmonics are related. It may be seen from the standpoint of a central force problem. The chapter presents equations that exhibit the basic connections between orbital angular momentum operators and spherical harmonics. It also lists several formulas involving spherical harmonics. The quantum numbers in the coupled representation must be related in some fashion to those in the uncoupled representation. Quantum–mechanical wave functions and their first derivatives must be everywhere continuous, single-valued, and finite. The methods developed for the coupling of two angular momentum operators may be extended to any number of operators but not without additional complications.
Published Version
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