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Quadratic exponential vectors

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Date
2009
Link to item file
http://arxiv.org/abs/0910.2453v1
Dewey
Analyse
Sujet
integral equations; Lie algebras; quantisation (quantum theory); vectors
Journal issue
Journal of Mathematical Physics
Volume
50
Number
12
Publication date
2009
Article pages
Paper 122103
Publisher
American Institute of Physics
DOI
http://dx.doi.org/10.1063/1.3266166
URI
https://basepub.dauphine.fr/handle/123456789/7210
Collections
  • CEREMADE : Publications
Metadata
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Author
Accardi, Luigi
Dhahri, Ameur
Type
Article accepté pour publication ou publié
Abstract (EN)
We give a necessary and sufficient condition for the existence of a quadratic exponential vector with test function in L2(mathd)∩L∞(mathd). We prove the linear independence and totality, in the quadratic Fock space, of these vectors. Using a technique different from the one used by Accardi et al. [Quantum Probability and Infinite Dimensional Analysis, Vol. 25, p. 262, (2009)] , 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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