Coherent states of the \(p\)-adic Heisenberg group and entropic uncertainty relations

DOI10.1134/s2070046623030032OpenAlexW4388376675MaRDI QIDQ6067393

E. I. Zelenov

Publication date: 14 December 2023

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046623030032

zbMATH Keywords

coherent statesentropic uncertainty relationsmutually unbiased basesWehrl entropyHeisenberg \(p\)-adic group

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Coherent states (81R30) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Uncertainty relations, also entropic (81S07) Special bases (entangled, mutual unbiased, etc.) (81P55)

Cites Work

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• \(p\)-adic mathematical physics: the first 30 years
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• Entropy and the uncertainty principle

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