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                           برق و الکترونیک:: 
                            تابع ویژه
                        
                        This shows that $n−1 = (bˆ $n) is a new eigenfunction with energy eigenvalue (En − kc).
In a similar way, it can be shown that the operator bˆ † acting on eigenfunction $n creates
a new eigenfunction $n+1  with eigenenergy  (En + kc).
(6.18) (so that bˆ bˆ † = bˆ †bˆ + 1) and the fact that   n   is an eigenfunction of the number operator n bˆ †bˆ with eigenvalue n.
the eigenfunctions of the Hamiltonian Hˆ  are also eigenfunctions of the number operator nˆ .
 
                        
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