“Uncertainty Relations” in the Group-theoretic Scheme of Quantum Mechanics
Issue: 2017 - Volume 16 [Issue 1]
Nicolay V. Lunin *
Volga State University of Water Transport, Nizhny Novgorod, Nesterov str., 5, Russia
*Author to whom correspondence should be addressed.
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