Quadratic exponential vectors
arXiv:0910.2453 · doi:10.1063/1.3266166
Abstract
We give a 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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