论文标题
字母作为alfvén波的量子
Alphonons as the quanta of the Alfvén waves
论文作者
论文摘要
在磁化的等离子体中，横向和纵向alfvén波都具有平均能量密度，对于每种振荡模式，与具有单位质量的谐波振荡器的经典能量相似，具有单位质量和角度频率，取决于背景磁场和血浆密度。我们采用这一事实来为基础经典系统介绍一对规范变量，然后使用规范量化程序来表达Alfvén波速度（或相应的等离子体位移载体）以创造和歼灭操作员来表达。因此，我们介绍了字母的概念作为Alfvén波数据包的量子，并研究其特征。相应的量子（字母）携带一个用于横向alfvén波的旋转，而纵向alfvén波的自旋零。我们获得了α系统热力学量的行为（例如自由能，熵，比热）。我们表明，对于Alphonon系统，光谱能量密度遵守普朗克的黑色体辐射法。
In a magnetized plasma, both the transverse and longitudinal Alfvén waves carry an average energy density that, for each mode of oscillation, resembles the classical energy of a harmonic oscillator with unit mass and angular frequency that depends on the background magnetic field and plasma density. We employ this fact to introduce a pair of canonical variables for the underlying classical system, and then use the canonical quantization procedure to express the Alfvén wave velocity (or the corresponding plasma displacement vector) in terms of creation and annihilation operators. We thus introduce the concept of Alphonons as the quanta for the Alfvén wave packets and study their characteristic features. The corresponding quanta (Alphonons) carry spin one for the transverse Alfvén wave and spin zero for the longitudinal Alfvén wave. We obtained behavior of thermodynamic quantities for an Alphonon system (e.g., free energy, entropy, specific heat). We showed that for the Alphonon system the spectral energy density obeys the Planck's black body radiation law.
