Write the particular time dependent solution of the undamped harmonic oscillator given that at time t=0,...

Write the particular time dependent solution of the undamped harmonic oscillator given that at time t=0, the spring is initially at its equilibrium with an initial velocity v_0 and identify each term in the expression. Also, write the form of the time dependent velocity and show that it obeys the initial conditions.

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genius_generous answered 1 year ago

Consider the undamped forced harmonic oscillator with mass 1 kg, damping coefficient 0, spring constant 4,...

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Consider the time dependent Hamiltonian H=H0+W(t). |φn is a basis of H0. When t<0, the system...

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