ONE-PARTICLE WAVE FUNCTIONS IN THE RELATIONAL PARADIGM

Abstract

We discuss a quantum description of free particles in pseudo-Finslerian momentum spaces appearing in one of relational approaches to physics and geometry of space-time. It is shown that, for wave functions of such particles, we can define an invariant unitary scalar product which ensures the standard quantum mechanical probabilistic interpretation. As the simplest example, the description of a spinless particle is considered.