  Starting from the quantum hydrodynamic model and transforming to the coupled
driven pseudoforce system the plasmonic excitations of electron beam with
arbitrary degree of degeneracy are studied. Using the conventional normal-mode
analysis a dual-length-scale wavefunction theory for a monochromatic electron
beam is developed. The beam plasmon excitations are shown to have both wave and
particle character, de Broglie wavenumbers of which depend on various
parameters such as average beam speed, the chemical potential, the charge
screening and the background electrostatic energy. The deterministic single
electron dynamics in the beam is investigated using the dual-wavelength
electrostatic potential energy. It is shown that electrons can be either
trapped or traveling along the beam direction depending on the ambient plasma
parameter values. The problem of monochromatic beam transport through binary as
well as ternary metallic configurations are investigated and some technological
applications of these system are pointed out. The theory is extended to
multistream phenomenon and electron beam transport through multimedia junction.
We believe that current study can have major impact on understanding of the
quantum beam-plasma interactions and instabilities and can further elucidate
the mechanisms involving in the collective quantum wave-particle phenomena.
