We describe the nontrivial central extensions CE(Heis) of the Heisenberg algebra and their representation as sub–algebras of the Schroedinger algebra. We also present the characteristic and moment generating functions of the random variable corresponding to the self-adjoint sum of the generators of CE(Heis).

Accardi, L., Boukas, A. (2009). On the central extensions of the Heisenberg algebra. In Quantum probability and infinite dimensional analysis: proceedings of the 29th Conference, Hammamet, Tunisia, 13-18 October 2008 / edited by H. Ouerdiane and A. Barhoumi (pp.1). World Scientific Publishing.

On the central extensions of the Heisenberg algebra

ACCARDI, LUIGI;
2009-01-01

Abstract

We describe the nontrivial central extensions CE(Heis) of the Heisenberg algebra and their representation as sub–algebras of the Schroedinger algebra. We also present the characteristic and moment generating functions of the random variable corresponding to the self-adjoint sum of the generators of CE(Heis).
Quantum probability and related topics
Hammamet (Tunisia)
2008
29.
Rilevanza internazionale
su invito
13-ott-2008
2009
Settore MAT/06 - PROBABILITA' E STATISTICA MATEMATICA
English
quantum probability and related topics
Intervento a convegno
Accardi, L., Boukas, A. (2009). On the central extensions of the Heisenberg algebra. In Quantum probability and infinite dimensional analysis: proceedings of the 29th Conference, Hammamet, Tunisia, 13-18 October 2008 / edited by H. Ouerdiane and A. Barhoumi (pp.1). World Scientific Publishing.
Accardi, L; Boukas, A
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/40511
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