Rotational Invariance and Angular Momentum

  • R. Shankar


In the last chapter on symmetries, rotational invariance was not discussed, not because it is unimportant, but because it is all too important and deserves a chapter on its own. The reason is that most of the problems we discuss involve a single particle (which may be the reduced mass) in an external potential, and whereas translational invariance of H implies that the particle is free, rotational invariance of H leaves enough room for interesting dynamics. We first consider two dimensions and then move on to three.


Wave Function Angular Momentum Commutation Relation Invariant Subspace Rotation Invariance 
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Copyright information

© Springer Science+Business Media, LLC 1994

Authors and Affiliations

  • R. Shankar
    • 1
  1. 1.Yale UniversityNew HavenUSA

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