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Operators and commutation of operators

  1. Aug 15, 2012 #1
    why is only one component of angular momentum is quantised, and what determines which component is quantised?
  2. jcsd
  3. Aug 15, 2012 #2
    All components of Angular momentum are quantized but it is much easier to work with only the z component. And since space is isotropic, it does not really matter which direction you use. However, z component is simpler to work with mathematically.
  4. Aug 16, 2012 #3
    Different components of angular momentum do not commute, so they cannot be quantized at the same time. Of all the components, z component is the easiest to deal with.
  5. Aug 16, 2012 #4
    Do you mean can not be simultaneously diagonalized? All three are quantized simultaneously.
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