Quantum theory of the real and the complexified projective line

Details Quantum theory of the real and the complexified projective line Quantum theory of the real and the complexified projective line

2005-09-28

arxiv.org/abs/math/0509675v1

J. Math. Phys. 39, No.2, 802-817 (1998)

Mathematics

Quantum Algebra

25 pages

Scientific paper

10.1063/1.532353

Quantum deformations of sets of points of the real and the complexified projective line are constructed. These deformations depend on the deformation parameter q and certain further parameters \lambda_{ij}. The deformations for which the subspace of polynomials of degree three has a basis of ordered monomials are selected. We show that the corresponding algebras of three points have "polynomiality". Invariant elements which turn out to be cross ratios in the classical limit are defined. For the special case |\lambda_{ij}| = 1 a quantum cross ratio with properties similar to the classical case is presented. As an application a quantum version of the real Euclidean distance is given.

Affiliated with

Also associated with

No associations

Rating

Quantum theory of the real and the complexified projective line does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum theory of the real and the complexified projective line, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum theory of the real and the complexified projective line will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-238992