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A generalized wave function is defined for an arbitrary real functional. Properties of the traversal-time wave function are investigated for one-dimensional scattering at a fixed energy. A Heisenberg-type uncertainty relation is derived from the traversal-time wave function. Traversal-time probability distributions for a Larmor clock measurement are studied in detail. The high-resolution limit of a traversal-time measurement is examined. The use of ``fast'' and ``slow'' arguments in a traversal-time analysis is discussed. The systems studied include free motion, resonance, and nonresonance tunneling through a double-{δ}-function potential, rectangular barrier, absorbing optical potential, and interaction with a slow oscillator.
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Sokolovski et al. (1994) studied this question.
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