l**********n 发帖数: 72 | 1 Lately fisherdad is clearing away the obscure and ambiguous
concepts with spin, so I have one question about spin too.
We know that fermi distribution and bose distribution
(without interaction between the particles) differs only in
the +&- in the formula, and it's due to the antisymmetric or
symmetric of the wavefunction, or commutivity relations
between the particle state. So that means
[a,b]=delta(a,b)
{a,b}=delta(a,b)
where b is a dagger. While ab-ba or ab+ba differs only in
the signs there. | f*******d 发帖数: 339 | 2
oops, I don't know much about anyons and fractional statistics.
Maybe someone could answer your question.
However, I remember that for anyons, the phase factor after particle
exchange is path-dependent, not just a fixed number. The reason is,
if the phase factor is path independent, it could be proved that it must
equal to either +1 or -1.
【在 l**********n 的大作中提到】 : Lately fisherdad is clearing away the obscure and ambiguous : concepts with spin, so I have one question about spin too. : We know that fermi distribution and bose distribution : (without interaction between the particles) differs only in : the +&- in the formula, and it's due to the antisymmetric or : symmetric of the wavefunction, or commutivity relations : between the particle state. So that means : [a,b]=delta(a,b) : {a,b}=delta(a,b) : where b is a dagger. While ab-ba or ab+ba differs only in
|
|