Electron-positron pair creation and correlation between momentum and energy level in a symmetric potential well

Abstract

The momentum spectrum of multiphoton-created electrons in the presence of a a static potential well as well as an alternating field is found to be related to the electron energy levels in the potential well and the energy of the photons. A simple relation among three energies, the created electron energy associated with the momentum distribution, the level energy of the electron bound state, and the photon energy, is obtained. Pair production can be significantly enhanced by this two-field configuration. In this case, the depth of the static potential well and the frequency of the alternating field also need not be supercritical.