“Uncertainty Relations” in the Group-theoretic Scheme of Quantum Mechanics

Nicolay V. Lunin *

Volga State University of Water Transport, Nizhny Novgorod, Nesterov str., 5, Russia

*Author to whom correspondence should be addressed.


Abstract

Non-commutativity and uncertainty relation in quantum mechanics are considered here from the group-theoretic point of view. It is shown that uncertainty relation is connected with one of unit vector of orthogonal basis of spinor transformations space.
The group-theoretic approach also demonstrates existence of relationship between non- commutativity and irreversibility.

Keywords: Quantum mechanics, group theory, uncertainty, Noether


How to Cite

V. Lunin, Nicolay. 2017. “‘Uncertainty Relations’ in the Group-Theoretic Scheme of Quantum Mechanics”. Physical Science International Journal 16 (1):1-12. https://doi.org/10.9734/PSIJ/2017/33792.