https://doi.org/10.1140/epjd/e2011-20332-8
Regular Article
New longitudinal waves in electron-positron-ion quantum plasmas
1
Department of Plasma Physics, E.Andronikashvili Institute of
Physics, Tbilisi,
Georgia
2
Salam Chair in Physics, GC University,
Lahore - 54000, Pakistan
a e-mail: lntsin@yahoo.com
Received:
6
June
2011
Received in final form:
18
August
2011
Published online:
11
October
2011
A general quantum dispersion equation for electron-positron(hole)-ion quantum plasmas is derived and studied for some interesting cases. In an electron-positron-ion degenerate Fermi gas, with or without the Madelung term, a new type of zero sound waves are found. Whereas in an electron-hole-ion plasmas a new longitudinal quantum waves are revealed, which have no analogies in quantum electron-ion plasmas. The excitation of these quantum waves by a low-density monoenergetic straight electron beam is examined. Furthermore, the Korteweg-de Vries (KdV) equation for novel quantum waves is derived and the contribution of the Madelung term in the formation of the KdV solitons is discussed.
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2011