- #1
yicong2011
- 75
- 0
In Classical Mechanics, are the three components of Angular Momentum L:
Lx, Ly, Lz
independent to each other?
It seems that there is an identity in Classical Mechanics (Sorry, I can hardly remember where I saw it):
[Li, Lj] = εijk Lk.
Note: [] is Poisson Bracket, εijk is Levi-Civita Tensor
If the identity is true, then the three components of Angular Momentum are not independent to each other.
Lx, Ly, Lz
independent to each other?
It seems that there is an identity in Classical Mechanics (Sorry, I can hardly remember where I saw it):
[Li, Lj] = εijk Lk.
Note: [] is Poisson Bracket, εijk is Levi-Civita Tensor
If the identity is true, then the three components of Angular Momentum are not independent to each other.