QUANTUM-THEORY OF SINGLE EVENTS - LOCALIZED DE BROGLIE WAVELETS, SCHRODINGER WAVES, AND CLASSICAL TRAJECTORIES

For an arbitrary potential V with classical trajectories x=g(t), we construct localized oscillating three-dimensional wave lumps ψ(x, t, g) representing a single quantum particle. The crest of the envelope of the ripple follows the classical orbit g(t), slightly modified due to the potential V, and ψ(x, t, g) satisfies the Schrödinger equation. The field energy, momentum, and angular momentum calculated as integrals over all space are equal to the particle energy, momentum, and angular momentum. The relation to coherent states and to Schrödinger waves is also discussed. © 1990 Plenum Publishing Corporation.