Transcription of Chapter 5 ANGULAR MOMENTUM AND ROTATIONS
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Chapter 5 ANGULAR MOMENTUM AND ROTATIONS
Chapter 5. ANGULAR MOMENTUM AND ROTATIONS . In classical mechanics the total ANGULAR MOMENTUM L ~ of an isolated system about any xed point is conserved. The existence of a conserved vector L ~ associated with such a system is itself a consequence of the fact that the associated Hamiltonian (or Lagrangian). is invariant under ROTATIONS , , if the coordinates and momenta of the entire system are rotated rigidly about some point, the energy of the system is unchanged and, more importantly, is the same function of the dynamical variables as it was before the rotation . Such a circumstance would not apply, , to a system lying in an externally imposed gravitational eld pointing in some speci c direction.
162 Angular Momentum and Rotations of the individual angular momenta of the particles making up the collection. In quantum mechanics, of course, dynamical …
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