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    Does the Hamiltonian Symmetry Extend to All N Dimensions?

    Homework Statement I shall consider the Hamilton H(q,p)=1/2\sum{p_l^2}+1/2\sum{q_l^2}+\gamma(\sum{q_l^2})^2 all the sums if from l=1 to l=N. (gamma is bigger or equal to zero) I shall discuss the symmetry/asymmetry plus determine that the form of the qeneral solution is qualitative...
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