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Refinement of Uncertainty Relations in Quantum Mechanics by Efimov, Sergei P. is a scholarly article available to read on EtoBox.

What is Refinement of Uncertainty Relations in Quantum Mechanics about?

The uncertainty relation of three quantities in quantum mechanics is estimated in terms of commutators. The Pauli matrices are used to find a contribution of third-order commutators. The resulting inequality refines the Heisenberg indeterminacy for two non-conjugate operators when their commutator is not a c-number. The inequality is applied to operators of the kinetic energy and coordinate of one-dimensional system. In addition, uncertainty of the angular momentum components is considered.

Author

Efimov, Sergei P.

Published

2025

Language

EN