Indeterminacy relations in random dynamics

DOI10.1016/S0034-4877(07)80140-6zbMath1145.82017arXivcond-mat/0703204MaRDI QIDQ2477370

Piotr Garbaczewski

Publication date: 13 March 2008

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0703204

zbMATH Keywords

informationdiffusion processesentropy dynamicsposition-momentum boundsprobability density dynamicsSmoluchowski processes

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (2)

On entropy production in the Madelung fluid and the role of Bohm's potential in classical diffusion ⋮ Lévy flights and nonlocal quantum dynamics

Cites Work

• A subtlety of the Schrödinger picture dynamics
• The uncertainty principle: A mathematical survey
• Differential entropy and dynamics of uncertainty
• Some inequalities satisfied by the quantities of information of Fisher and Shannon
• Uncertainty relations in stochastic mechanics
• Variational processes and stochastic versions of mechanics
• Stochastic variational approach to minimum uncertainty states

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