# Hari

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bio website location age member for 2 years, 4 months seen Dec 17 '12 at 9:16 profile views 3

# 11 Actions

 Dec2 revised Scalar product between Fock states added 2 characters in body Nov30 revised Scalar product between Fock states added 51 characters in body Nov30 awarded Scholar Nov30 accepted Scalar product between Fock states Nov30 comment Scalar product between Fock states Ok, thank you very much (which is actually the answer I would got expanding the equation which is in the comment I wrote just above). I have to deal with the computation of all the possible permutations...I will let the computer do it for me...:) Nov30 comment Scalar product between Fock states If I use your recipe I get: \begin{align} \langle \dots \tilde{n}_k\dots |n_1 \dots n_L \rangle & = \langle | \prod_k \left( \hat{b}_k \right)^{\tilde{n}_k } |n_1 \dots n_L \rangle \\ & = \langle | \prod_k \left( \frac{1}{\sqrt{L}} \sum_j e^{-ikj} \hat{a}_j \right)^{\tilde{n}_k } |n_1 \dots n_L \rangle \end{align} even if now it is quite straightforward which are the terms that survive (the ones that annihilate $|n_1 \dots n_L \rangle$ ) I'm not able to find a "clean" and useful equation ... :( Nov30 comment Scalar product between Fock states You are right, I edited the question and changed the notation. Anyway, the question is about Fock states in different bases otherwise the answer would be trivial. And of course the two states have the same number of bosons: $\sum_k \tilde{n}_k = \sum_j n_j$. Nov30 awarded Editor Nov30 revised Scalar product between Fock states added 24 characters in body Nov30 awarded Student Nov30 asked Scalar product between Fock states
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