Localizability in $\kappa$-Minkowski Spacetime

Abstract

Using the methods of ordinary quantum mechanics we study $\kappa$-Minkowski space as a quantum space described by noncommuting self-adjoint operators, following and enlarging arXiv:1811.08409. We see how the role of Fourier transforms is played in this case by Mellin transforms. We briefly discuss the role of transformations and observers.

To appear in the proceedings of the conference "PAFT 2019, Current problems in theoretical physics", XXV Edition April 13 - 17, 2019, Vietri, italy. Based on arXiv:1811.08409