Quantum mechanics with uniform forces

For a nonrelativistic particle acted on by a spatially uniform but possibly time-dependent force, or for a harmonic oscillator also subject to such a uniform force, the wave function differs from that without the force only by a spatial displacement and a phase factor. The shifts in position and phase are simply derived from a solution of the classical equations of motion. [c] 2010 American Association of Physics Teachers. [DOI: 10.1119/1.3481703]