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Given Galilean transformations \begin{equation} \vec{x} \longrightarrow \vec{x}\,^\prime = \vec{x} + \vec{v} t \end{equation} and \begin{equation} \psi(\vec{x}) \longrightarrow \psi\,^\prime(\vec{x}\,^\prime) = e^{-im\vec{v}\,^{\prime\,2} t/(2\hbar)} e^{im\vec{v}\cdot\vec{x}/\hbar} \psi(\vec{x}). \end{equation} show that these are a symmetry transformations of
the time dependent Schrodinger equation.
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4727:Diamond point
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