Quantum white noises—White noise approach to quantum stochastic calculus

Abstract

Let H = L 2 ( R ) be the Hilbert space of all complex-valued square integrable functions defined on R, Ф = Γ(H) be the Boson Fock space over H . For each h ∈ H , denote by ε(h) the corresponding exponential vector: in particular ε (0) is the Fock vacuum.