Please, can somebody show me why a Hamiltonian like [itex]\sum_nh(x_n)[/itex] can be written as [itex]\sum_{i,j}t_{i,j}a^+_ia_j[/itex], with [itex]t_{i,j}=\int f^*_i(x)h(x)f_j(x)dx[/itex]?(adsbygoogle = window.adsbygoogle || []).push({});

Thank you.

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# Proof of second quantization operators

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