We present a one-dimensional model, which gives a novel physical interpretation to the specific state of an ensemble of electrons continuously injected into an electrostatic potential well immersed in a strong applied magnetic field preventing radial expansion. When the space-charge field of the electrons accumulated in the potential well compensates the external electrostatic field, a force-free steady-state of the electron cloud forms. This state of equilibrium is known in another context as a squeezed state of an electron beam. It is shown that the spatial distribution of the electron number density in this steady-state correlates with the shape of the potential well. Perturbations of the steady-state propagate along the electron cloud in the form of Trivelpiece–Gould modes.

中文翻译：

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作为“准中性”单组分等离子体的电子云的压缩状态

我们提出了一个一维模型，该模型对连续注入静电势阱中的电子集合的特定状态提供了一种新颖的物理解释，该静电势阱浸入了防止径向膨胀的强外加磁场中。当势阱中积累的电子的空间电荷场补偿外部静电场时，电子云的无力稳态形成。这种平衡状态在另一种情况下被称为电子束的压缩状态。结果表明，该稳态下电子数密度的空间分布与势阱的形状有关。稳态的扰动以 Trivelpiece-Gould 模式的形式沿着电子云传播。