Open AccessONE-PARTICLE WAVE FUNCTIONS IN THE RELATIONAL PARADIGM
Author(s) -
Alexey Solovyov
Publication year - 2020
Publication title -
metafizika
Language(s) - English
Resource type - Journals
ISSN - 2224-7580
DOI - 10.22363/2224-7580-2020-2-28-33
Subject(s) - unitary state , scalar (mathematics) , wave function , physics , invariant (physics) , quantum , wave–particle duality , classical mechanics , theoretical physics , quantum mechanics , algebra over a field , pure mathematics , mathematics , geometry , political science , law
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.