We prove some no-go theorems on the existence of a Fock representation of the *-Lie algebra. In particular we prove the nonexistence of such a representation for any *-Lie algebra containing . This drastic difference with the quadratic case proves the necessity of investigating different renormalization rules for the case of higher powers of white noise.
Accardi, L., Boukas, A., Franz, U. (2006). Renormalized powers of quantum white noise. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 9(1), 129-147 [10.1142/S0219025706002263].
Renormalized powers of quantum white noise
ACCARDI, LUIGI;
2006-03-01
Abstract
We prove some no-go theorems on the existence of a Fock representation of the *-Lie algebra. In particular we prove the nonexistence of such a representation for any *-Lie algebra containing . This drastic difference with the quadratic case proves the necessity of investigating different renormalization rules for the case of higher powers of white noise.File in questo prodotto:
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