Diffeomorphism groups and current algebras: Configuration space analysis in quantum theory

Albeverio S, Kondratiev Y, Röckner M (1999)
REVIEWS IN MATHEMATICAL PHYSICS 11(1): 1-23.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
Abstract / Bemerkung
The constuction of models of non-relativistic quantum fields via current algebra representations is presented using a natural differential geometry of the configuration space Gamma of particles, the corresponding classical Dirichlet operator associated with a Poisson measure on Gamma, being the free Hamiltonian. The case with interactions is also discussed together with its relation to the problem of unitary representations of the diffeomorphism group on R-d.
Erscheinungsjahr
Zeitschriftentitel
REVIEWS IN MATHEMATICAL PHYSICS
Band
11
Ausgabe
1
Seite(n)
1-23
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PUB-ID

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Albeverio S, Kondratiev Y, Röckner M. Diffeomorphism groups and current algebras: Configuration space analysis in quantum theory. REVIEWS IN MATHEMATICAL PHYSICS. 1999;11(1):1-23.
Albeverio, S., Kondratiev, Y., & Röckner, M. (1999). Diffeomorphism groups and current algebras: Configuration space analysis in quantum theory. REVIEWS IN MATHEMATICAL PHYSICS, 11(1), 1-23.
Albeverio, S., Kondratiev, Y., and Röckner, M. (1999). Diffeomorphism groups and current algebras: Configuration space analysis in quantum theory. REVIEWS IN MATHEMATICAL PHYSICS 11, 1-23.
Albeverio, S., Kondratiev, Y., & Röckner, M., 1999. Diffeomorphism groups and current algebras: Configuration space analysis in quantum theory. REVIEWS IN MATHEMATICAL PHYSICS, 11(1), p 1-23.
S. Albeverio, Y. Kondratiev, and M. Röckner, “Diffeomorphism groups and current algebras: Configuration space analysis in quantum theory”, REVIEWS IN MATHEMATICAL PHYSICS, vol. 11, 1999, pp. 1-23.
Albeverio, S., Kondratiev, Y., Röckner, M.: Diffeomorphism groups and current algebras: Configuration space analysis in quantum theory. REVIEWS IN MATHEMATICAL PHYSICS. 11, 1-23 (1999).
Albeverio, Sergio, Kondratiev, Yuri, and Röckner, Michael. “Diffeomorphism groups and current algebras: Configuration space analysis in quantum theory”. REVIEWS IN MATHEMATICAL PHYSICS 11.1 (1999): 1-23.