Partner groups and quantum motion algebras

In this paper an extension of formalism of partner groups is proposed. The partner groups as an algebraic tool for description of laboratory and intrinsic variables are shortly introduced. A natural generalisation of partner groups is recognized as the Quantum Motion Algebra. This algebra is based on a group of motions G of a given quantum system. An example of the limiting case of of the state space L 2 (G,dμ(g)) is also considered. © 2019 Published under licence by IOP Publishing Ltd.