论文标题
阶段空间量子力学作为Landau级别问题
Phase Space Quantum Mechanics as a Landau Level Problem
论文作者
论文摘要
我们指出，在相空间中制定量子力学的问题与将量子力学粒子的运动投射到特定的Landau水平之间。特别是，我们表明，在这种情况下，最低的Landau级波函数实际上是相位空波函数。我们通过分析一些简单的问题并提出其他公用事业来证明这种理解的有用性。
We point out the connection between the problem of formulating quantum mechanics in phase space and projecting the motion of a quantum mechanical particle onto a particular Landau level. In particular, we show that lowest Landau level wave functions, which are widely used in studies of quantum Hall effect, are actually phase space wave functions in this context. We demonstrate the usefulness of this understanding by analyzing some simple problems, and propose other utilities.
