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Quantum Mechanics by Giorgio Parisi, Mauro Fortunato, Gennaro Auletta

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6

Angular momentum and spin

Up to now we have laid the foundations and the basic principles of quantum mechanics and have considered some examples of quantum dynamics. In this chapter we go back to the problem of the definition of quantum observables and the search for their eigenvalues and eigenfunctions. In particular, we discuss here angular momentum (in Sec. 6.1), some special examples (in Sec. 6.2), and spin (in Sec. 6.3). In Sec. 6.4 we discuss some examples of composition of angular momenta pertaining to different particles and total angular momentum. Finally, in Sec. 6.5 we analyze the uncertainty relations between angular momentum and angle, and present an operational representation of the angle observable.

6.1 Orbital angular momentum ...

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