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A particle is described by the Hamiltonian $$ \hat{H} = \frac{\vec{p}\,^2}{2m} + V(\vec{x}) $$ Find the equations of motion of a particle in the Heisenberg picture. Solve the equations of motion for the position and momentum $\hat{x}(t)$ and $\hat{p}(t)$. Find $x(t), p(t)$, if initial ($t=0$) conditions are given. Suppose the particle is in initial state $\psi$, what is the equation satisfied by the expectation value of $x$ and $p$ at a later time $t$? What does one expect classically?
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4727:Diamond Point
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