DOI: https://doi.org/10.30970/jps.13.3002
THE QUASIPOSITION REPRESENTATION IN THE SNYDER SPACE-TIME
B. Budnyy
Department for Theoretical Physics,
Ivan Franko National University of Lviv,
12 Drahomanov St., Lviv
UA--79005, Ukraine
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Journal of Physical Studies 13(3), Article 3002 [4 pages] (2009)
DOI: https://doi.org/10.30970/jps.13.3002 THE QUASIPOSITION REPRESENTATION IN THE SNYDER SPACE-TIMEB. Budnyy
Department for Theoretical Physics, |
|
States with maximal spatial localization around the origin are found for the $(n+1)$-dimensional Snyder algebra. Maximally localized states in the Snyder space-time belong to the subset of the squeezed states in contrast to commutative algebra with minimal length. The noncommutativity of coordinate operators of the Snyder algebra leads to inhomogeneous space-time with the origin as the ‟center of the Universe”.
PACS number(s): 03.65.Ca, 02.40.Gh, 11.30.Cp