Lorentz-covariant deformed algebra with minimal length
نویسندگان
چکیده
منابع مشابه
Lorentz - covariant deformed algebra with minimal length
The D-dimensional two-parameter deformed algebra with minimal length introduced by Kempf is generalized to a Lorentz-covariant algebra describing a (D + 1)dimensional quantized space-time. For D = 3, it includes Snyder algebra as a special case. The deformed Poincaré transformations leaving the algebra invariant are identified. Uncertainty relations are studied. In the case of D = 1 and one non...
متن کامل2 00 6 Lorentz - covariant deformed algebra with minimal length and application to the 1 + 1 - dimensional Dirac oscillator
The D-dimensional (β, β ′)-two-parameter deformed algebra introduced by Kempf is generalized to a Lorentz-covariant algebra describing a D +1-dimensional quantized space-time. In the D = 3 and β = 0 case, the latter reproduces Snyder algebra. The deformed Poincaré transformations leaving the algebra invariant are identified. It is shown that there exists a nonzero minimal uncertainty in positio...
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We investigate the Lorentz-covariant deformed algebra for Dirac oscillator problem, which is a generalization of Kempf deformed algebra in 3 + 1 dimension of space-time, where Lorentz symmetry are preserved. The energy spectrum of the system is analyzed by taking advantage of the corresponding wave functions with explicit spin state. We obtained entirely new results from our development based o...
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A mapping between the operators of the bosonic oscillator and the Lorentz rotation and boost generators is presented. The analog of this map in the qdeformed regime is then applied to q-deformed bosonic oscillators to generate a q-deformed Lorentz algebra, via an inverse of the standard chiral decomposition. A fundamental representation, and the co-algebra structure, are given, and the generato...
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For composite systems made of N different particles living in a space characterized by the same deformed Heisenberg algebra, but with different deformation parameters, we define the total momentum and the center-of-mass position to first order in the deformation parameters. Such operators satisfy the deformed algebra with new effective deformation parameters. As a consequence, a two-particle sy...
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ژورنال
عنوان ژورنال: Czechoslovak Journal of Physics
سال: 2006
ISSN: 0011-4626,1572-9486
DOI: 10.1007/s10582-006-0436-4