Quadratic exponential vectors

Details Quadratic exponential vectors Quadratic exponential vectors

2009-10-13

arxiv.org/abs/0910.2453v1

Physics

Mathematical Physics

26

Scientific paper

We give a necessary and sufficient condition for the existence of a quadratic exponential vector with test function in L2(Rd) ? L?(Rd). We prove the linear independence and totality, in the quadratic Fock space, of these vectors. Using a technique different from the one used, we also extend, to a more general class of test functions, the explicit form of the scalar product between two such vectors.

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