Nuclear Fusion Physics and Technology/Plasma Waves

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Definition: Wave[edit]

Wave  \Psi_n is set of two functions  \Psi_n \equiv \{ \vec{A}(t,\vec{x}): \mathbb{R}^4 \rightarrow \mathbb{R}^n, \varphi(t,\vec{x}): \mathbb{R}^4 \rightarrow \mathbb{R} \} .

Definition: Wave function[edit]

Wave function  \Psi_n(t,\vec{x}): \mathbb{R}^4 \rightarrow \mathbb{R}^n is function defined as

 \Psi_n(t,\vec{x}) \equiv \vec{A}(t,\vec{x}) e^{i \varphi(t,\vec{x})}