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  • Articles: DFG German National Licenses  (4)
  • 1990-1994  (4)
  • 1970-1974
  • 1991  (4)
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  • Articles: DFG German National Licenses  (4)
Material
Years
  • 1990-1994  (4)
  • 1970-1974
Year
  • 1
    Electronic Resource
    Electronic Resource
    Lie structures in parasupersymmetric quantum mechanics: I. The standard supersymmetrization procedure (1991)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 1808-1814 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Parasupersymmetric quantum mechanics leads to the construction of new Lie structures that are called Lie parasuperalgebras. They are characterized by double commutation relations between even and odd generators and include as particular substructures the usual Lie superalgebras. Oscillatorlike systems in one spatial dimension are especially exploited in order to put such structures in evidence but n-dimensional extensions are easily determined. These developments in the standard supersymmetrization procedure will be considered first and the spin orbit coupling one will be considered in a subsequent article [J. Beckers and N. Debergh, J. Math. Phys. (square, solid)(square, solid), (square, solid)(square, solid)(square, solid) (1991)].
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529245
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On supersymmetric harmonic oscillators and the Green–Cusson Ansätze (1991)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 3094-3100 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: New properties on parabosonic and parafermionic Cusson's realizations of the Green's Anzätze are first obtained. Then paraproperties are shown to have a specific interest for our real world, where bosons and fermions have to be superposed if Nature is supersymmetric, these results being obtained on supersymmetric harmonic oscillators. In particular, from the Green–Cusson Ansätze, we construct a class of supersymmetric Hamiltonians that are more general than the ones issued from standard or spin–orbit coupling considerations. We explicitly consider the simplest (previously unknown) super-Hamiltonian constructed from paraproperties in quantum mechanics and establish its invariance Lie superalgebra.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529056
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Lie structures in parasupersymmetric quantum mechanics: II. The spin-orbit coupling supersymmetrization procedure (1991)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 1815-1821 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The spin-orbit coupling supersymmetrization procedure is considered in parasupersymmetric quantum mechanics describing oscillatorlike systems. The superposition of bosonic and parafermionic degrees of freedom is mainly studied in the cases of two and three spatial dimensions but the n-dimensional case is also determined. New Lie superalgebras and Lie parasuperalgebras are pointed out: They differ from those already obtained in connection with the standard procedure of supersymmetrization studied in Part I of this series [J. Beckers and N. Debergh, J. Math. Phys. (square, solid)(square, solid), (square, solid)(square, solid)(square, solid) (1991)].
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529246
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    On partner potentials in parasupersymmetric quantum mechanics (1991)
    Springer
    The European physical journal 51 (1991), S. 519-524 
    Details
    ISSN: 1434-6052
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The constraint on the two superpotentials characterizing a parasuperhamiltonian is shown to be a Riccati equation which helps us for studying partner potentials. We point out that only three different types of parasuperspectra can appear. The simplest type admitting a unique non degenerate zero energy value can be associated with different models already discussed in other contexts.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01548579
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    Paper (German National Licenses)
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