We split the generic conformal mechanical system into a “radial” and an “angular” part,
where the latter is defined as the Hamiltonian system on the orbit of the conformal group …

Conformal many-body mechanics in Newton–Hooke spacetime is studied within the
framework of the Lagrangian formalism. Global symmetries and Noether charges are given …

We construct a nonunitary transformation that relates a given “asymptotically free” conformal
quantum mechanical system H f with its confined, harmonically trapped version H c. In our …

We continue the research initiated in hep-th/0607215 and apply our method of conformal
automorphisms to generate various Script N= 4 superconformal quantum many-body …

We exclude the center of mass of the N-particle rational Calogero model and consider the
angular part of the resulting Hamiltonian. We show that it describes the motion of the particle …

We study the properties of the symplectic sp (2N) algebra deformed by means of the Dunkl
operators, which describe the dynamical symmetry of the generalized N-particle Calogero …

We propose a universal method of relating the Calogero model to a set of decoupled
particles on the real line, which can be uniformly applied to both the conformal and …

A direct relation is established between the constants of motion for conformal mechanics
and those for its spherical part. In this way, we find the complete set of functionally …

A unitary transformation which relates a many-body quantum mechanics with N= 2
Schrödinger supersymmetry to a set of decoupled superparticles is proposed. The …

This work describes the synthesis of hydrogels of cellulose acetate (AC) crosslinked with 1,
2, 4, 5-benzenotetracarboxylic dianhydride (PMDA). The crosslinking reaction was …