Entropic uncertainty relations in multidimensional position and momentum spaces

Journal Article · Sun May 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.052124· OSTI ID:21546713

Yichen, Huang ^[1]

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1. Department of Physics, University of California, Berkeley, Berkeley, California 94720 (United States)

Commutator-based entropic uncertainty relations in multidimensional position and momentum spaces are derived, twofold generalizing previous entropic uncertainty relations for one-mode states. They provide optimal lower bounds and imply the multidimensional variance-based uncertainty principle. The article concludes with an open conjecture.

• OSTI ID: 21546713
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 83; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COMMUTATORS
ENTROPY
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PHYSICAL PROPERTIES
QUANTUM OPERATORS
SPACE
THERMODYNAMIC PROPERTIES
UNCERTAINTY PRINCIPLE