论文标题
非欧几里得空间中的二维电子气
Two dimensional electron gas in a non-Euclidean space
论文作者
论文摘要
在磁场存在下的带电粒子以依赖性操作员形式主义研究。所产生的Schrödinger样方程的解不是量子谐波振荡器，而是用于Morse振荡器的方程。从该理论中自然出现的非谐性类似于相对论介绍的校正。由于非欧几里得空间，旋转水平的退化被取消了。结果表明，费米能和2维的总基态能也经过修改。
A charged particle in the presence of a magnetic field is studied in the position dependent operator formalism. Instead of a quantum harmonic oscillator, the solution of the resulting Schrödinger-like equation is the one for the Morse oscillator. The anharmonicity that shows up naturally from the theory is analogous to the corrections introduced by relativistic ones.The degeneracy of the spin up and down levels is lifted due to the non-Euclidean space. It is shown that the Fermi energy and the total ground state energy of the 2DEG is also modified.
