Relativistic Klein-Gordon-Maxwell multistream model for quantum plasmas

Fernando Haas, Bengt Eliasson, Padma Shukla

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A multistream model for spinless electrons in a relativistic quantum plasma is introduced by means of a suitable fluidlike version of the Klein-Gordon-Maxwell system. The one- and two-stream cases are treated in detail. A new linear instability condition for two-stream quantum plasmas is obtained, generalizing the previously known nonrelativistic results. In both the one- and two-stream cases, steady-state solutions reduce the model to a set of coupled nonlinear ordinary differential equations, which can be numerically solved, yielding a manifold of nonlinear periodic and soliton structures. The validity conditions for the applicability of the model are addressed.
Original languageEnglish
Article number056411
Number of pages15
JournalPhysical Review E
Issue number5
Publication statusPublished - 18 May 2012


  • quantum plasma
  • relativistic
  • multi-stream
  • klein-gordon
  • electrons


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