Wehrl-Lieb's inequality for entropy and the uncertainty relation

DOI10.1016/0034-4877(84)90029-6zbMath0582.60098OpenAlexW2020327207MaRDI QIDQ1068473

Marian Grabowski

Publication date: 1984

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(84)90029-6

zbMATH Keywords

entropyHeisenberg uncertainty relationWehrl's conjectureYoung inequalities

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Measures of information, entropy (94A17) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (3)

The uncertainty principle: A mathematical survey ⋮ On the regular Hilbert space representation of a Moyal quantization ⋮ On the entropic formulation of uncertainty for quantum measurements

Cites Work

• Unnamed Item
• On the relation between classical and quantum-mechanical entropy
• Best constants in Young's inequality, its converse, and its generalization to more than three functions
• Inequalities in Fourier analysis
• Proof of an entropy conjecture of Wehrl

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