1,721,016 research outputs found
The passage from quantum system with continuous spectrum to quantum Poisson processes on the Hilbert module
No full textQuantization of the Poisson Type Central Limit Theorem (1)
Full text linkA sequence of binomial random variables, both classical and algebraic,
is modelized in terms of the creation–annihilation operators in a
natural way and each of these random variables is a sum of four terms. By
taking a proper interacting Fock structure, these random variables verify a
certain pre–given (classical, Boolean, free, monotone, anti–monotone, etc)
independence and the sum of finite independent binomial random variables
formulates the corresponding Bernoulli sequence. With the help of such a
structure, the Poisson type central limit theorem is quantized by considering
individually the contribution of those four terms to the limit. Moreover, its
off–diagonal part gives a quantization of the Laplace–de Moivre type central
limit theorem
- …
