A narrow conductor has discrete transverse modes and nearly continuous longitudinal motion. Its conductance depends on the transmissions of occupied quantum wire subbands, spin counting and contacts. The Landauer formula connects these transmissions to two-terminal conductance. Disorder, interference, dephasing and interactions distinguish ballistic, diffusive, localized and interacting regimes.
A transverse confinement eigenstate that defines a threshold for propagation along a narrow conductor. Above that threshold, its longitudinal dispersion supplies an incident channel from each reservoir. spin can label separate channels; an unresolved spin-degenerate mode contributes twice the single-spin spin-resolved conductance quantum. This physical use of mode is unrelated to the most probable value of a probability distribution.
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