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• https://en.wikipedia.org/wiki/Uncertainty_principle — found via Wikipedia

  Uncertainty principle

  generalizes more easily. Mathematically, in wave mechanics, the uncertainty relation between position and momentum arises because the expressions of the

  Canonical commutation relation uncertainty principle derivations.) Substituting for A and B (and taking care with the analysis) yield Heisenberg's familiar uncertainty relation for
  Stronger uncertainty relations Heisenberg's uncertainty relation is one of the fundamental results in quantum mechanics. Later Robertson proved the uncertainty relation for two general
  Quantum Cramér–Rao bound _{k}p_{k}\vert \Psi _{k}\rangle \langle \Psi _{k}\vert .} The Heisenberg uncertainty relation is valid for all | Ψ k ⟩ {\displaystyle \vert \Psi _{k}\rangle }
  Conjugate variables The duality relations lead naturally to an uncertainty relation—in physics called the Heisenberg uncertainty principle—between them. In mathematical terms

• https://arxiv.org/abs/1112.2101 — found via Mwmbl

  [1112.2101] Uncertainty Relation for Chaos

  Title:Uncertainty Relation for Chaos Abstract:A necessary condition for the emergence of chaos is given. It is well known that the emergence of chaos req…

  [0710.0723] Uncertainty Relation for the Discrete Fourier Transf… Title:Uncertainty Relation for the Discrete Fourier Transform Abstract: We derive an uncertainty relation for two unitary operators which obey a commutat…
  [1911.12206] Uncertainty relation for angle from a quantum-hydro… Title:Uncertainty relation for angle from a quantum-hydrodynamical perspective Abstract:We revisit the problem of the uncertainty relation for angle by u…
  [1501.01700] Uncertainty relation in Schwarzschild spacetime Title:Uncertainty relation in Schwarzschild spacetime Abstract:We explore the entropic uncertainty relation in the curved background outside a Schwarzsch…
  [0912.2253] Uncertainty Relation on World Crystal and its Applic… Abstract: We formulate generalized uncertainty relations in a crystal-like universe whose lattice spacing is of the order of Planck length -- "world cryst…
  [1112.2101v1] Uncertainty Relation for Chaos Title:Uncertainty Relation for Chaos Abstract:A necessary condition for the emergence of chaos is given. It is well known that the emergence of chaos req…
  [0710.0723v2] Uncertainty Relation for the Discrete Fourier Tran… Title:Uncertainty Relation for the Discrete Fourier Transform Abstract: We derive an uncertainty relation for two unitary operators which obey a commutat…
  [1108.2376] Heisenberg uncertainty relation and statistical meas… Title:Heisenberg uncertainty relation and statistical measures in the square well Abstract:A non stationary state in the one-dimensional infinite square …
  [1412.3927] Geometric uncertainty relation for quantum ensembles Title:Geometric uncertainty relation for quantum ensembles Abstract:Geometrical structures of quantum mechanics provide us with new insightful results ab…
  [1407.0083] Heisenberg Uncertainty Relation for Three Canonical … Title:Heisenberg Uncertainty Relation for Three Canonical Observables Abstract:Uncertainty relations provide fundamental limits on what can be said about…
  [1402.5601] Heisenberg's uncertainty relation: Violation and ref… Abstract: The uncertainty relation formulated by Heisenberg in 1927 describes a trade-off between the error of a measurement of one observable and the dis…
  [1501.00623] Entropic uncertainty relation in de Sitter space Title:Entropic uncertainty relation in de Sitter space Abstract:The uncertainty principle restricts our ability to simultaneously predict the measurement…
  [2301.08402] Entropy Uncertainty Relations and Strong Sub-additi… Abstract:We prove an entropic uncertainty relation for two quantum channels, extending the work of Frank and Lieb for quantum measurements. This is obtai…
  [1608.00912] A time-work uncertainty relation in quantum systems Title:A time-work uncertainty relation in quantum systems Abstract:In quantum systems, a plausible definition of work is based on two energy measurement …
  [2401.07634] Time-energy uncertainty relation in nonrelativistic… Abstract:The time-energy uncertainty relation in nonrelativistic quantum mechanics has been intensely debated with regard to its formal derivation, valid…
  [1909.02904] Coherence-variance uncertainty relation and coheren… Abstract:Uncertainty relations are one of the fundamental principles in physics. It began as a fundamental limitation in quantum mechanics, and today the…
  [1801.00994] Quantum uncertainty relation based on the mean devi… Abstract:Traditional forms of quantum uncertainty relations are invariably based on the standard deviation. This can be understood in the historical cont…
  [1009.5820] Comment on the uncertainty relation with periodic bo… Title:Comment on the uncertainty relation with periodic boundary conditions Abstract:The Kennard-type uncertainty relation $\Delta x\Delta p >\frac{\hbar…
  [1412.3927v1] Geometric uncertainty relation for quantum ensembl… Title:Geometric uncertainty relation for quantum ensembles Abstract:Geometrical structures of quantum mechanics provide us with new insightful results ab…
  [1108.2376v1] Heisenberg uncertainty relation and statistical me… Title:Heisenberg uncertainty relation and statistical measures in the square well Abstract:A non stationary state in the one-dimensional infinite square …
  [1207.2551] A Mixed-Entropic Uncertainty Relation Title:A Mixed-Entropic Uncertainty Relation Abstract:We highlight the advantages of using simultaneously the Shannon and Fisher information measures in p…
  [0909.0950v1] An Entropic Uncertainty Relation With Quantum Side… Abstract: Quantum mechanical uncertainty relations provide bounds on the minimum uncertainties about the outcomes of two alternative measurements applied…
  [0909.0950v2] An Entropic Uncertainty Relation With Quantum Side… Abstract: Quantum mechanical uncertainty relations provide bounds on the minimum uncertainties about the outcomes of two alternative measurements applied…
  [1208.0258] Generalization of Uncertainty Relation for Quantum a… Abstract: The generalized uncertainty relation applicable to quantum and stochastic systems is derived within the stochastic variational method. This rela…
  [1508.03333v1] Uncertainty relation for quantum gravity arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features …
  [2406.00933] Refined Thermodynamic Uncertainty Relation for Chem… Abstract:Thermodynamic uncertainty relations elucidate the intricate balance between the precision of current and the thermodynamic costs or dissipation,…
  [2002.03234] The dissipation-time uncertainty relation Title:The dissipation-time uncertainty relation Abstract:We show that the dissipation rate bounds the rate at which physical processes can be performed i…
  [2107.07697] Deriving a kinetic uncertainty relation for piecewi… Title:Deriving a kinetic uncertainty relation for piecewise deterministic processes: from classical to quantum Abstract:From the perspective of Markovian…
  [1612.02573] Quantum uncertainty relation using coherence Abstract: Measurement outcomes of a quantum state can be genuinely random (unpredictable) according to the basic laws of quantum mechanics. The Heisenberg…
  [2004.09736] Multiple uncertainty relation for accelerated quant… Abstract:The uncertainty principle, first introduced by Heisenberg in inertial frames, clearly distinguishes quantum theories from classical mechanics. I…
  [1107.5929v1] General Uncertainty Relation for Entangled States Abstract:It is conjectured that if a system is entangled with another system, the uncertainties in any two noncommuting observables of this system are re…
  [1503.00405] General and Stronger Uncertainty Relation Title:General and Stronger Uncertainty Relation Abstract:Recently, Maccone and Pati [Phys. Rev. Lett. {\bf 113}, 260401 (2014)] derived few inequalities …
  [2311.00303] Error-disturbance uncertainty relations in a superc… Abstract:We experimentally test the error-disturbance uncertainty relation (EDR) in generalized, variable strength measurements of superconducting qubits…
  [2207.13707] Time-energy uncertainty relation for noisy quantum … Abstract:Detection of weak forces and precise measurement of time are two of the many applications of quantum metrology to science and technology. We con…
  [2204.01627] Thermodynamic Uncertainty Relation in the interlink… Abstract:We model the well-known interlinked cascade of Rab GTPases found in eukaryotic cells by using a network of Markov states to investigate the univ…
  [2202.13311] Universal Thermodynamic Uncertainty Relation in Non… Abstract:We derive a universal thermodynamic uncertainty relation (TUR) that applies to an arbitrary observable in a general Markovian system. The genera…
  [1907.10767] Thermodynamic uncertainty relation in thermal trans… Abstract:We use the fundamental nonequilibrium steady-state fluctuation symmetry and derive a condition on the validity of the thermodynamic uncertainty …
  [1810.12467] Comment on Thermodynamic uncertainty relation for t… Abstract:An extension of the thermodynamic uncertainty relation (TUR) to time-delayed Langevin systems has been recently proposed by T. V. Vu and Y. Hase…
  [1901.00548] The Thermodynamic Uncertainty Relation in Biochemic… Abstract:Living systems regulate many aspects of their behavior through periodic oscillations of molecular concentrations, which function as `biochemical…
  [0803.1424v2] Comment on 'Time-energy uncertainty relations for … Abstract: We discuss the implications of the time-energy uncertainty relation to recoillessly emitted and captured neutrinos (Mossbauer neutrinos) and sh…
  [2207.13707v1] Time-energy uncertainty relation for noisy quantu… Abstract:Detection of weak forces and precise measurement of time are two of the many applications of quantum metrology to science and technology. We con…
  [2207.13707v2] Time-energy uncertainty relation for noisy quantu… Abstract:Detection of weak forces and precise measurement of time are two of the many applications of quantum metrology to science and technology. We con…
  [2211.00179] Noise and Thermodynamic Uncertainty Relation in "Un… Abstract:We determine the zero-frequency charge current noise in a metal-molecule-metal junction embedded in a thermal environment, e.g., a solvent, domi…
  [1911.03818] Einstein's E = mc^2 derivable from Heisenberg's Unc… Abstract:Heisenberg's uncertainty relation can be written in terms of the step-up and step-down operators in the harmonic oscillator representation. It i…
  [1511.00267] Entropic uncertainty and measurement reversibility Abstract: The entropic uncertainty relation with quantum side information (EUR-QSI) from [Berta et al., Nat. Phys. 6, 659 (2010)] is a unifying principle …

• https://pubmed.ncbi.nlm.nih.gov/4020513 — found via Mwmbl

  Uncertainty relation for resolution in space, spatial frequency,…

  Author Abstract Two-dimensional spatial linear filters are constrained by general uncertainty relations that limit their attainable information resolutio…