On the quantization of length in noncommutative spaces

HIGHLIGHTS

SUMMARY

Noncommutative (NC) spacetime, which was first introduced by Snyder in an attempt to regulate the divergences in quantum field theories, has also been introduced in various contexts, and the literature in this area is quite replete. One important thing in such an analogy is the set of ladder operators â-, the lowering ! oper1 x ̂ ̂ ̂=ator, and â+=â†-, the raising operator. The square of the length in this case is given by ̂ 2=2θ â+ â- + 1: L 2 2igij θ jk αk=-λαi: Also, Equations and_(10) lead to In the Euclidean 3-D . . .

 



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