论文标题
超强磁场中的自旋1/2颗粒的动力学理论
Kinetic theory for spin-1/2 particles in ultra-strong magnetic fields
论文作者
论文摘要
当Zeeman能量接近电子的特征动能时，Landau量化变得很重要。在磁铁的附近，采面能量甚至可以是相对论的。我们从狄拉克方程开始，并得出电子方程的电子方程，重点是在这种超强但恒定的磁场中的Landau量化现象，忽略了短量的量子现象。事实证明，弗拉索夫方程的通常相对论伽马因子被能量操作员取代，具体取决于旋转状态，还含有动量衍生物。此外，我们表明磁场中的能量特征状态可以计算为该操作员的特征函数。计算血浆中静电波的分散关系，并讨论了我们的结果的重要性。
When the Zeeman energy approaches the characteristic kinetic energy of electrons, Landau quantization becomes important. In the vicinity of magnetars, the Zeeman energy can even be relativistic. We start from the Dirac equation and derive a kinetic equation for electrons, focusing on the phenomenon of Landau quantization in such ultra-strong but constant magnetic fields, neglecting short-scale quantum phenomena. It turns out that the usual relativistic gamma factor of the Vlasov equation is replaced by an energy operator, depending on the spin state, and also containing momentum derivatives. Furthermore, we show that the energy eigenstates in a magnetic field can be computed as eigenfunctions of this operator. The dispersion relation for electrostatic waves in a plasma is computed, and the significance of our results is discussed.
