Recent content by john0909

But you didn't answer my question: let me explain you my problem: The density of states n(E) is defined as the trace of the spectral operator \delta(E-\hat{H}), \newline n(E)\equiv Tr \delta(E-\hat{H}). this expression is equal = \sum_n \langle E_n|\delta(E- \hat{H})| E_n\rangle. My...

yes but then you get: \sum_n \langle E_n\mid \delta(E-E_n) \mid E_n \rangle. So how do you eliminate the bra and kets? \langle E_n| , |E_n\rangle

regarding the density of states: how I GET THE FOLLOWING EQUALITY? \langle E_n\mid \delta(E-\widehat{H}) \mid E_n \rangle = \sum_n \delta(E-E_n)