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We revisit the problem of calculating the probability current fordiscontinuous states, such that may arise in atom trapping or as a result ofprojective measurements. In the first passage time representation, the problemreduces to evaluation of a localised wave originating from the discontinuity,whose interference with the initial state determines the transfer ofprobability. Depending on the type of discontinuity, the current behaves as$t^{1/2}$, $t^{3/2}$ or $const(t)$. Our approach generalises earlier work onthis subject.

Schroedinger current for discontinuous states from the first passage time decomposition