One-dimensional quantized conductance is derived from the electrons in a homogeneous electric field by calculating the traveling time of the accelerated motion and the number of electrons in the one-dimensional region. As a result, the quantized conductance is attributed to the finite time required for ballistic electrons to travel a finite length. In addition, this model requires no Joule heat dissipation, even if the conductance is a finite value, because the electric power is converted to kinetic energy of electrons. Furthermore, the relationship between the non-equilibrium source-drain bias V sd and wavenumber k in a one-dimensional conductor is shown as k ∝ √ V sd . This correspondence accounts for the wavelength of the coherent electron flows emitted from a quantum point contact. Furthermore, it explains the anomalous 0.7 • 2e 2 /h (e is the elementary charge, and h is the Plank's constant) conductance plateau as a consequence of the perturbation gap at the crossing point of the wavenumber-directional-splitting dispersion relation. We propose that this splitting is caused by the Rashba spin-orbit interaction induced by the potential gradient of the quantum well at quantum point contacts.