Lorentz - covariant deformed algebra with minimal length
نویسنده
چکیده
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 nonvanishing parameter, the bound-state energy spectrum and wavefunctions of the Dirac oscillator are exactly obtained.
منابع مشابه
2 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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The D-dimensional (β, β ′)-two-parameter deformed algebra introduced by Kempf is generalized to a Lorentz-covariant algebra describing a (D + 1)-dimensional quan-tized spacetime. 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 posi...
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