A maximally superintegrable system on an n-dimensional space of nonconstant curvature

Details A maximally superintegrable system on an n-dimensional space of nonconstant curvature A maximally superintegrable system on an n-dimensional space of nonconstant curvature

2006-12-26

arxiv.org/abs/math-ph/0612080v1

PhysicaD237:505-509,2008

Physics

Mathematical Physics

11 pages

Scientific paper

10.1016/j.physd.2007.09.021

A novel Hamiltonian system in n dimensions which admits the maximal number 2n-1 of functionally independent, quadratic first integrals is presented. This system turns out to be the first example of a maximally superintegrable Hamiltonian on an n-dimensional Riemannian space of nonconstant curvature, and it can be interpreted as the intrinsic Smorodinsky-Winternitz system on such a space. Moreover, we provide three different complete sets of integrals in involution and solve the equations of motion in closed form.

Affiliated with

Also associated with

No associations

Rating

A maximally superintegrable system on an n-dimensional space of nonconstant curvature 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 A maximally superintegrable system on an n-dimensional space of nonconstant curvature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A maximally superintegrable system on an n-dimensional space of nonconstant curvature will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-334950