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  • 47D45  (1)
  • Stone–von Neumann theorem  (1)
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  • 1
    Electronic Resource
    Electronic Resource
    A Generalization of the Stone–Von Neumann Theorem to Nonregular Representations of the CCR-Algebra (1999)
    Springer
    Letters in mathematical physics 47 (1999), S. 307-320 
    Details
    ISSN: 1573-0530
    Keywords: Stone–von Neumann theorem ; Weyl algebra ; measurable representations.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We give a classification, up to unitary equivalence, of the representations of the C*-algebra of the Canonical Commutation Relations which generalizes the classical Stone–von Neumann Theorem to the case of representations which are strongly measurable, but not necessarily strongly continuous. The classification includes all the (nonregular) representations which have been considered in physical models.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007599222651
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Algebraic fermion bosonization (1992)
    Springer
    Letters in mathematical physics 26 (1992), S. 13-22 
    Details
    ISSN: 1573-0530
    Keywords: 47D45 ; 81T05 ; 81T40
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract By exploiting the construction of charged field algebras as canonical extensions of CCR current algebras in 1+1 dimensions and nonregular representations of extended algebras, we provide an algebraic construction of local Fermi fields as ultrastrong limits of bosonic variables in all representations which are locally Fock with respect to the ground-state representation of the massless scalar field.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00420514
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    Paper (German National Licenses)
    Fulltext
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