Interpolating Asymptotic Constants for the Poincaré Group, in Particular on Fock Space | Zendy

Baumgärtel H. | Zendy; Wollenberg M. | Zendy

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Interpolating Asymptotic Constants for the Poincaré Group, in Particular on Fock Space

Author(s) -

Baumgärtel H.,

Wollenberg M.

Publication year - 1984

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.19841190103

Subject(s) - mathematics , fock space , bounded function , invariant (physics) , hilbert space , poincaré group , lorentz group , lorentz space , group (periodic table) , pure mathematics , euclidean space , euclidean geometry , lorentz transformation , mathematical analysis , mathematical physics , quantum mechanics , geometry , physics

Starting from a representation of the restricted Poincaré group ζ + →on a Hilbert space χ and from arbitrary bounded Poincaré invariant operators X + and X − we describe a method for the construction of bounded operators X whose time evolutions e itH Xe − itH tend “very fast” to the given operators X + and X − as t goes to + ∞ and ‐ ∞, respectively. Additionally these operators X (interpolating asymptotic constants) are Lorentz (or Euclidean) invariant and satisfy a certain boundedness condition with respect to H .

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