2012/08/31 by T. Koide, T. Kodama · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computer science #Data mining #Econometrics #Generalization #Mathematical analysis #Mathematical economics #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Relation (database) #Statistical physics #cond-mat.stat-mech #nucl-th #physics.flu-dyn #quant-ph
paper · pdf · doi:10.1016/j.physleta.2018.04.008
11 pages, 1 figure, the Robertson-Schroedinger uncertainty relation is discussed. Accepted for publication in Phys, Lett. A
arxiv created 2018/04/04 · openalex publication_date 2018/04/06 · arxiv updated 2018/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The generalized uncertainty relation applicable to quantum and stochastic systems is derived within the stochastic variational method. This relation not only reproduces the well-known inequality in quantum mechanics but also is applicable to the Gross-Pitaevskii equation and the Navier-Stokes-Fourier equation, showing that the finite minimum uncertainty between the position and the momentum is not an inherent property of quantum mechanics but a common feature of stochastic systems. We further discuss the possible implication of the present study in discussing the application of the hydrodynamic picture to microscopic systems, like relativistic heavy-ion collisions.