We can solve the Schrodinger problem for a particle in 2 - dimension hole:
HΨn,m=En,mΨn,m
where :
H→−2mℏ2(∂x2∂2+∂y2∂2)+U(x,y)
if we solve it for a hole with rectangle as a shape, then we get the level of energy fo such system:
En,m=2mπ2ℏ2(a2n2+b2m2)
n,m - quantum numbers
a,b - sides of the rectangle
Comments
Leave a comment