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For the following questions we assume the Hamiltonian to

be of the generic form

H(

**r**,

**p**) = T(

**p**) + V (

**r**) =

**p**

^{2}/2m+ V(

**r**)

where T(

**p**) and V (

**r**) denote kinetic and potential energies, respectively.

Find Hamilton's equations of motion for a general quadratic potential V (

**r**) = [(

**r**,A

**r**)]/2

A = A

^{T}, a symmetric 3-by-3 matrix.

Which force do you obtain?

Is this force conservative?

Thanks!