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  • 1
    Digitale Medien
    Digitale Medien
    Spectral stochastic processes arising in quantum mechanical models with a non-L 2 ground state (1995)
    Springer
    Letters in mathematical physics 35 (1995), S. 251-262 
    Details
    ISSN: 1573-0530
    Schlagwort(e): 81S40 ; 60G20 ; 46J10
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik , Physik
    Notizen: Abstract A functional integral representation is given for a large class of quantum mechanical models with a non-L 2 ground state. As a prototype, the particle in a periodic potential is discussed: a unique ground state is shown to exist as a state on the Weyl algebra, and a functional measure (spectral stochastic process) is constructed on trajectories taking values in the spectrum of the maximal Abelian subalgebra of the Weyl algebra isomorphic to the algebra of almost periodic functions. The thermodynamical limit of the finite-volume functional integrals for such models is discussed, and the superselection sectors associated to an ‘observable’ subalgebra of the Weyl algebra are described in terms of boundary conditions and/or topological terms in the finite-volume measures.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00761297
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  • 2
    Digitale Medien
    Digitale Medien
    Algebraic fermion bosonization (1992)
    Springer
    Letters in mathematical physics 26 (1992), S. 13-22 
    Details
    ISSN: 1573-0530
    Schlagwort(e): 47D45 ; 81T05 ; 81T40
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik , Physik
    Notizen: 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.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00420514
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  • 3
    Digitale Medien
    Digitale Medien
    Theta vacua, charge confinement and charged sectors from nonregular representations of CCR algebras (1993)
    Springer
    Letters in mathematical physics 27 (1993), S. 1-11 
    Details
    ISSN: 1573-0530
    Schlagwort(e): 46L30 ; 81S05 ; 81T40
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik , Physik
    Notizen: Abstract Theta-vacua superselection for Bloch electrons, charge confinement in the Schwinger model, fermionic charges, superselection structures in conformal two-dimensional models are shown to follow from general properties of a class of nonregular representations of Weyl algebras.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00739583
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