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Angular Momentum in Quantum Mechanics

Angular Momentum in Quantum MechanicsAsaf Pe er1 April 19, 2018 This part of the course is based on Refs. [1] [3].1. IntroductionAngular Momentum plays a central role in both classical and Quantum Mechanics . Inclassical Mechanics , all isolated systems conserve Angular Momentum (as well as energy andlinear Momentum ); this fact reduces considerably the amount of work required in calculatingtrajectories of planets, rotation of rigid bodies, and , in Quantum Mechanics , Angular Momentum plays a central role in under-standing the structure of atoms, as well as other Quantum problems that involve other observable quantities, Angular Momentum is described in QM by an is in fact a vector operator, similar to Momentum operator. However, as we willshortly see, contrary to the linear Momentum operator, the three components of the angularmomentum operator do not QM, there are several Angular Momentum operators: the total Angular Momentum (usually denoted by~J), the orbital Angular Momentum (usually denoted by~L) and theintrinsic, orspinangular Momentum (denoted by~S).

Angular Momentum in Quantum Mechanics Asaf Pe’er1 April 19, 2018 This part of the course is based on Refs. [1] – [3]. 1. Introduction Angular momentum plays a central role in both classical and quantum mechanics. In classical mechanics, all isolated systems conserve angular momentum (as well as energy and

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