منابع مشابه
Theoretical Foundations of Fractional Supersymmetry
Fractional supersymmetry denotes a generalisation of supersymmetry which may be constructed using a single real generalised Grassmann variable, θ = θ̄, θn = 0, for arbitrary integer n = 2, 3, .... An explicit formula is given in the case of general n for the transformations that leave the theory invariant, and it is shown that these transformations possess interesting group properties. It is sho...
متن کاملGeometrical foundations of fractional supersymmetry
A deformed q-calculus is developed on the basis of an algebraic structure involving graded brackets. A number operator and left and right shift operators are constructed for this algebra, and the whole structure is related to the e-mails: [email protected]; [email protected]; [email protected]; [email protected]
متن کاملFractional Supersymmetry and Quantum Mechanics
We present a set of quantum-mechanical Hamiltonians which can be written as the F th power of a conserved charge: H = Q F with [H, Q] = 0 and F = 2, 3, .... This new construction, which we call fractional supersymmetric quantum mechanics, is realized in terms of paragrassmann variables satisfying θ F = 0. Furthermore, in a pseudo-classical context, we describe fractional supersymmetry transform...
متن کاملFractional Supersymmetry as a Superposition of Ordinary Supersymmetry
Paper written from a communication by M. Kibler at the “X International Conference on Symmetry Methods in Physics” (Yerevan, Armenia, 13 19 August 2003). To be published in Phys. Atom. Nuclei (Yadernaya fizika). FRACTIONAL SUPERSYMMETRY AS A SUPERPOSITION OF ORDINARY SUPERSYMMETRY M. Daoud, M. Kibler September 6, 2005
متن کاملA braided interpretation of fractional supersymmetry in higher dimensions
A many variable q-calculus is introduced using the formalism of braided covector algebras. Its properties when certain of its deformation parameters are roots of unity are discussed in detail, and related to fractional supersymmetry. The special cases of two dimensional supersymmetry and fractional supersymmetry are developed in detail. PACS 02.10T, 11.30P, 03.65F. e-mail: [email protected]...
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ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 1995
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s021773239500140x