Nuclear Fusion Physics and Technology/Plasma Waves

Definition: Wave

Wave ${\mathrm{\Psi }}_n$ is set of two functions ${\mathrm{\Psi }}_n\equiv \{\overrightarrow{A}(t,\overrightarrow{x}):{ℝ}^4\to {ℝ}^n,\phi (t,\overrightarrow{x}):{ℝ}^4\to ℝ\}$.

Definition: Wave function

Wave function ${\mathrm{\Psi }}_n(t,\overrightarrow{x}):{ℝ}^4\to {ℝ}^n$ is function defined as

${\mathrm{\Psi }}_n(t,\overrightarrow{x})\equiv \overrightarrow{A}(t,\overrightarrow{x})e^{i\phi (t,\overrightarrow{x})}$