1. 元江提到的边界条件会影响波函数。另外2D电子气所在的potential (zero field时)也是可调控的，从而影响波函数.
最初，用半导体界面实现2D Electronic Gas.(band bending)
现在,可用量子line, well and dot etc. 实验内容很丰富.
2.强外场下，电子波函数又如何改变得？

I think if we can numerically simulate QHE, it will be very helpful to understand this effect.