Propagation of Surface Modes in a Warm Non-Magnetized Quantum Plasma System**Supported by the National Natural Science Foundation of China under Grant No 11547137, and the Fundamental Research Funds for the Central Universities under Grant Nos JZ2015HGBZ0123 and JZ2016HGBZ0759.

Abstract

The propagation of surface modes in warm non-magnetized quantum plasma is investigated. The surface modes are assumed to propagate on the plane between vacuum and warm quantum plasma. The quantum hydrodynamic model including quantum diffraction effect (the Bohm potential) and quantum statistical pressure is used to derive a new dispersion relation of surface modes. The new dispersion relation of surface modes is analyzed in some special interesting cases. It is shown that the dispersion relation can be reduced to the earlier results in some special cases. The results indicate that the quantum effects can facilitate the propagation of surface modes in such a semi-bounded plasma system. This work is helpful to understand the physical characteristics of the surface modes and the bounded quantum plasma.