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Graduate Computing Scalar Product in Antisymmetric Fock Space w/ Creator Operators
Thank you very much!- Boby37
- Post #7
- Forum: Quantum Physics
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Graduate Computing Scalar Product in Antisymmetric Fock Space w/ Creator Operators
Thank you for your answer. However, with my notations, we have c(\eta) |\Omega\rangle ~:=~ |\eta\rangle c(\eta) is a creator and not a annhilator.- Boby37
- Post #5
- Forum: Quantum Physics
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Graduate Computing Scalar Product in Antisymmetric Fock Space w/ Creator Operators
If n is odd, I understand that the quantity is 0: We can write the quantity as a sum of monomials in which all creators are to the right of all annihilators (anti-Wick ordered). A such monomial is a product of an odd number of factors. Clearly the vacuum state annihilates a such monomial. We...- Boby37
- Post #3
- Forum: Quantum Physics
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Graduate Computing Scalar Product in Antisymmetric Fock Space w/ Creator Operators
We use the antisymmetric Fock space ( "fermions"). We denote by c(h) a creator operator. I need to evaluate the following quantity: < \Omega , \big(c(h_1)+c(h_1)^{*}\big)\big(c(h_2)+c(h_2)^{*}\big) \ldots \big(c(h_n)+c(h_n)^*\big)\Omega> where \Omega is the unit vector called vaccum...- Boby37
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- Computing Operators Product Scalar Scalar product Space
- Replies: 6
- Forum: Quantum Physics