wave function of theNelectrons be anti-symmetric under the interchange of any two coordinates
ziandzjforj 6 =i. The following wave functions will always be anti-symmetric in this way,
∏
i<j
(zi−zj)m×exp
{
−
eB
2 ̄h
∑N
i=1
|zi|^2
}
(11.39)
whenevermis an odd positive integer. The density of states is reduced toν= 1/mwhich gives an
explanation why only odd denominators occur.