Conformal mechanics in Newton–Hooke spacetime

Conformal many-body mechanics in Newton–Hooke spacetime is studied within the framework of the Lagrangian formalism. Global symmetries and Noether charges are given in a form convenient for analyzing the flat space limit. N=2N=2 superconformal extension is built and a new class on N=2N=2 models related to simple Lie algebras is presented. A decoupling similarity transformation on N=2N=2 quantum mechanics in Newton–Hooke spacetime is discussed.