Abstract
Plasma, known as the fourth state of matter, attracts the curiosity of scholars. Specifically, this paper will discuss the quantization models and theoretical progress for plasma, starting with the brief conclusion of fruition of former researchers. In addition, the novel perspective for the process will be proposed in order to expansion of investigating plasma relevant effects. According to the analysis of the quantization process of plasma, (i.e., the Vilasov equation describing the basic motion), the basic theory of quantum plasma is introduced. Moreover, the state-of-art models and results on the quantization of plasma field and interstellar plasma will also be introduced. These results shed light on guiding further exploration on nonlinear plasma physics.
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