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The Non-commutative Robertson-Schr\"{o}dinger Uncertainty Principle by Hatzinikitas, Agapitos N. is a scholarly article available to read on EtoBox.

What is The Non-commutative Robertson-Schr\"{o}dinger Uncertainty Principle about?

We investigate properties of the covariance matrix in the framework of non-commutative quantum mechanics for an one-parameter family of transformations between the familiar Heisenberg-Weyl algebra and a particular extension of it. Employing as a measure of the Robertson-Schr\"{o}dinger uncertainty principle the linear symplectic capacity of the Weyl ellipsoid (and its dual), we determine its corresponding bounds. Inequalities between the capacities for non-commutative phase-spaces are established. We also present a constructive example based on a simple model to justify our theoretical predictions.

Author

Hatzinikitas, Agapitos N.

Published

2022

Language

EN