Why is angular Lz quantized in three dimensions but not in two?
- From: km <mailkaran@xxxxxxxxx>
- Date: Thu, 30 Mar 2006 03:45:58 +0000 (UTC)
Angular momentum is quantized in three dimensions and the phi
dependence is exp(i*m*phi) where phi can take only integral( spinless
system) values. Now for two dimensions we see that Lz can take any
arbitrary value. Obviously the uniqueness of the wave function is NOT
the complete or correct reasoning for quantization in three dimensions.
So what is?
I believe it has something to do with the fact that rotations in two
dimensions always commute.
-km
.
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