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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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Employing the power expansion to the solution of the equation of motion, show that for a one-dimensional harmonic oscillator with a Hamiltonian that p2 H mw? 2m the solution is given by x(t) = x0 coS wt + Ро sin wt , where xo = x(t = 0) and po = p(t = 0) represent the initial conditions.
Transcribed Image Text:Employing the power expansion to the solution of the equation of motion, show that for a one-dimensional harmonic oscillator with a Hamiltonian that p2 H mw? 2m the solution is given by x(t) = x0 coS wt + Ро sin wt , where xo = x(t = 0) and po = p(t = 0) represent the initial conditions.
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