- #1
mjordan2nd
- 177
- 1
I'm given the following transformation
[tex]X=x \cos \alpha - \frac{p_y}{\beta} \sin \alpha[/tex]
[tex]Y=y \cos \alpha - \frac{p_x}{\beta} \sin \alpha[/tex]
[tex]P_X=\beta y \sin \alpha + p_x \cos \alpha[/tex]
[tex]P_Y=\beta x \sin \alpha + p_y \cos \alpha[/tex]
and I'm asked to find what type(s) of transformation it is. I'm not sure how to go about doing this without being given a generator. Do I basically try and find a generator? If so, how do I do this. Do I start from Hamilton's principle and try the definition of each type of generator?
[tex]X=x \cos \alpha - \frac{p_y}{\beta} \sin \alpha[/tex]
[tex]Y=y \cos \alpha - \frac{p_x}{\beta} \sin \alpha[/tex]
[tex]P_X=\beta y \sin \alpha + p_x \cos \alpha[/tex]
[tex]P_Y=\beta x \sin \alpha + p_y \cos \alpha[/tex]
and I'm asked to find what type(s) of transformation it is. I'm not sure how to go about doing this without being given a generator. Do I basically try and find a generator? If so, how do I do this. Do I start from Hamilton's principle and try the definition of each type of generator?