Quantum Physics II, Lecture Notes 1 - MIT OpenCourseWare
This is the equation for a (non-relativistic) particle of mass m moving along the x axis while acted by the potential V (x, t) ∈ R. It is clear from this equation that the wavefunction must be complex: if it were real, the right-hand side of (1.2) would be real while the left-hand side would be imaginary, due to the explicit factor of i. ...
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