6 problems

Let an effective physical model be a model featuring an isometry, and let all fields be invariant under this isometry. Suppose the model is mapped by a reference system $S$ satisfy…

The Galilei quantum group has a universal $T$-matrix, whose all-order dependence on the quantum deformation parameter defines the corresponding transformation between quantum refer…

All-order quantum Galilei operators conjecture. All-order quantum Galilei group operators provide the appropriate generalisation of QRF transformations acting on arbitrary quantum…

Full quantum Galilei group conjecture. If one considers arbitrary quantum states of the QRF, then the symmetry group acquires nontrivial features and becomes a full-fledged quantum…

All-order quantum-group conjecture. Transformations between QRFs in generic quantum states are described by quantum groups accounting for all orders in the quantum transformation p…

All-order quantum Galilei group conjecture. The all-order quantum Galilei group describes quantum reference frame transformations between more general quantum states of the quantum…