Employing the power expansion to the solution of the equation of motion, show that for a one-dimensional harmonic oscillator with a Hamiltonian that p mw? H = 2m the solution is given by x(t) = xo COS Wt + Ро sin wt , mw where xo x(t = 0) and po = p(t = 0) represent the initial conditions. |
Employing the power expansion to the solution of the equation of motion, show that for a one-dimensional harmonic oscillator with a Hamiltonian that p mw? H = 2m the solution is given by x(t) = xo COS Wt + Ро sin wt , mw where xo x(t = 0) and po = p(t = 0) represent the initial conditions. |
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