We study some probabilistic aspects of the (q, 2)-Fock space over a given Hilbert space. Specifically, our focus is on determining the vacuum distribution of the field operator. We ascertain the precise expression for the vacuum expectation of any arbitrary product of creation and annihilation operators, with particular emphasis on the vacuum moments of the field operator. Utilizing these results, we calculate the moment-generating function of the field operator and subsequently determine the corresponding distribution.
Probabilistic analysis of the (q, 2)-Fock space: vacuum distribution and moments of the field operator
YUNGANG LU
In corso di stampa
Abstract
We study some probabilistic aspects of the (q, 2)-Fock space over a given Hilbert space. Specifically, our focus is on determining the vacuum distribution of the field operator. We ascertain the precise expression for the vacuum expectation of any arbitrary product of creation and annihilation operators, with particular emphasis on the vacuum moments of the field operator. Utilizing these results, we calculate the moment-generating function of the field operator and subsequently determine the corresponding distribution.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
