We give a necessary and sufficient condition for the existence of a quadratic exponential
vector with test function in L 2 (R d)∩ L∞(R d)⁠. We prove the linear independence and …

In the first part of the paper we introduce a new parametrization for the manifold underlying
quadratic analogue of the usual Heisenberg group introduced in Accardi et al.(Infin Dimens …

It have been proved in Accardi and Dhahri (J Math Phys 51: 2, 2010) that the set of the
exponential vectors Φ (g), g∈ K:= L 2 (R d)∩ L∞(R d) associated with different test …

We construct a counter example showing, for the quadratic quantization, the identity (Γ (T))*=
Γ (T*) is not necessarily true. We characterize all operators on the one-particle algebra …

We study the quantum open system evolution described by a Gorini–Kossakowski–
Sudarshan–Lindblad generator with creation and annihilation operators arising in Fock …

The stochastic limit of quantum theory [1] motivated a new approach to the renormalization
program. Subsequent investigations brought to light unexpected connections with conformal …

ON THE QUADRATIC FOCK FUNCTOR Page 1 Infinite Dimensional Analysis, Quantum
Probability and Related Topics Vol. 15, No. 2 (2012) 1250012 (8 pages) c World Scientific …

We construct an inductive system of C*-algebras each of which is isomorphic to a finite
tensor product of copies of the one-mode n-th degree polynomial extension of the usual …

We study the quantum open system evolution described by a Gorini–Kossakowski–
Sudarshan–Lindblad generator with creation and annihilation operators arising in Fock …

We show that the Renormalized Powers of Quantum White Noise Lie algebra RP QW N∗,
with the convolution type renormalization δn (t− s)= δ (s) δ (t− s) of the n 2 powers of the …