1–11. For a particle moving in three dimensions under the influence of a spherically sym- metrical potential U=U(r), write down the Lagrangian and the equations of motion in spherical coordinates (r, 8, 6). Show that H=K+ V from H=2pq-L for this potential.
1–11. For a particle moving in three dimensions under the influence of a spherically sym- metrical potential U=U(r), write down the Lagrangian and the equations of motion in spherical coordinates (r, 8, 6). Show that H=K+ V from H=2pq-L for this potential.
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
Transcribed Image Text:1–11. For a particle moving in three dimensions under the influence of a spherically sym-
metrical potential U=U(r), write down the Lagrangian and the equations of motion in
spherical coordinates (r, 8, 6). Show that H=K+ V from
H=2pq-L
for this potential.
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