Write the Lagrangian discussed in Eqs. (6.27) to (6.30) in polar coordinates for the case V21 = V22 > 0 and V12 = V21 = 0. Show that there is a radial normal mode r = r0 cos(ωt) with frequency ω = (V11)−1/2 when the angular momentum is zero. Show that in the case of nonzero angular momentum, the angular momentum is conserved and the particle can no longer reach r = 0. Write the fictitious potential energy V′(r) (Chapter 3) for nonzero angular momentum. When finished, reintroduce the mass parameter, m, into all equations.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.