Binding energy levels of a slowly moving ion in quantum plasmas.

Electrostatic potential of a slowly moving ion in quantum plasmas is studied. This potential is composed of the Debye-Hückel potential and the wake potential. The near-field-wake potential is found. The binding energy levels of one-electron bound states of the ion are calculated by use of the Ritz variation method. The trial wave function contains three variational parameters. The presence of the wake field splits the binding energy levels. This effect is analogous to the Zeeman effect. The removal of the degeneracy of binding energy levels is influenced by the speed of ion and the number density of electrons. Compared with binding energy levels of a free ion, some binding energy levels of a moving ion in quantum plasmas are "pushed up."