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A classical particle is moving in an external potential field V(x, y, z) which is invariant under the following infinitesimal transformations
\[\begin{array}{*{20}{c}} {x \to x'}& = &{x + \delta x} \\ {y \to y'}& = &{y + \delta y} \\ {\left[ {\begin{array}{*{20}{c}} x \\ y \end{array}} \right

A classical particle is moving in an external potential field V(x, y, z) which is invariant under the following infinitesimal transformations
\[\begin{array}{*{20}{c}} {x \to x'}& = &{x + \delta x} \\ {y \to y'}& = &{y + \delta y} \\ {\left[ {\begin{array}{*{20}{c}} x \\ y \end{array}} \right Correct Answer <br>where, R<sub>z</sub> is the matrix corresponding to rotation about the Z-axis. The conserved quantities are (the symbols have their usual meaning), <p><span>A.</span> p<sub>x</sub>, p<sub>z</sub>, L<sub>z</sub>

py, pz, Lx, E

] Option B ]

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