In Classical Mechanics, are the three components of Angular Momentum(adsbygoogle = window.adsbygoogle || []).push({}); :L

L_{x},L_{y},L_{z}

independent to each other?

It seems that there is anidentityinClassical Mechanics(Sorry, I can hardly remember where I saw it):

[L_{i},L_{j}] =ε_{ijk}L_{k}.

Note: [] is Poisson Bracket,ε_{ijk}is Levi-Civita Tensor

If theidentityis true, then the three components of Angular Momentum are not independent to each other.

**Physics Forums - The Fusion of Science and Community**

# Are Lx, Ly, Lz (the components of Angular Momentum)independent to each other?

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

Have something to add?

- Similar discussions for: Are Lx, Ly, Lz (the components of Angular Momentum)independent to each other?

Loading...

**Physics Forums - The Fusion of Science and Community**