pith. sign in

arxiv: quant-ph/0612093 · v1 · submitted 2006-12-12 · 🪐 quant-ph · hep-th· math-ph· math.MP

Lorentz-covariant deformed algebra with minimal length

classification 🪐 quant-ph hep-thmath-phmath.MP
keywords algebradeformedcasedimensionallengthlorentz-covariantminimalbound-state
0
0 comments X
read the original abstract

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 Poincar\'e 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.