X,Y and Z operators of some algebra

  • Thread starter Thread starter zetafunction
  • Start date Start date
  • Tags Tags
    Algebra Operators
zetafunction
Messages
371
Reaction score
0
let be X,Y and Z operators of some algebra so

[X_i , Y_j]= \epsilon _ijkX_k where i,j and k range over X, Y and Z

then i define the change of coordinates

X= rcos(u)

Y= rsin(u)

Z=Z

again r, u and Z are new operators, the problem is , how can i find for example what is the value of [r, u] or [r,z] or [u,z] ??
 
Physics news on Phys.org


If X, Y, and Z are in "some algebra", then what do "r cos(u)" and "r sin(u)" mean?
 

Similar threads

Replies
13
Views
2K
Replies
3
Views
498
Replies
5
Views
992
Replies
0
Views
460
Replies
3
Views
3K
Back
Top