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Coffee_
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http://bec.science.unitn.it/infm-bec/papers/preprints/becenc.pdf
It's in regards to expression (4)
I don't understand why the eigenvectors and eigenvalues of this operator happen to be the single particle eigenstates and the occupation numbers as they mention just below this expression.
I do understand that in general a hermitian operator can be written like this in terms of its eigenfunctions and eigenvalues - I just don't understand how to identify these eigenfunctions as the single particle eigenstates.
By single particle eigenstates I understand them being the eigenstates of the Hamiltonian for a single particle.
It's in regards to expression (4)
I don't understand why the eigenvectors and eigenvalues of this operator happen to be the single particle eigenstates and the occupation numbers as they mention just below this expression.
I do understand that in general a hermitian operator can be written like this in terms of its eigenfunctions and eigenvalues - I just don't understand how to identify these eigenfunctions as the single particle eigenstates.
By single particle eigenstates I understand them being the eigenstates of the Hamiltonian for a single particle.