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Quadratic exponential vectors

Accardi, Luigi; Dhahri, Ameur (2009), Quadratic exponential vectors, Journal of Mathematical Physics, 50, 12, p. Paper 122103. http://dx.doi.org/10.1063/1.3266166

Type
Article accepté pour publication ou publié
External document link
http://arxiv.org/abs/0910.2453v1
Date
2009
Journal name
Journal of Mathematical Physics
Volume
50
Number
12
Publisher
American Institute of Physics
Pages
Paper 122103
Publication identifier
http://dx.doi.org/10.1063/1.3266166
Metadata
Show full item record
Author(s)
Accardi, Luigi
Dhahri, Ameur
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.
Subjects / Keywords
integral equations; Lie algebras; quantisation (quantum theory); vectors

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