The reciprocal time operator which is suggested by the notion of partial stationarity is shown to permit an unambiguous and non-singular statement of the energy-time uncertainty relation. (Submitted to Phys. Rev. D) *Research partially supported by the U. S. Air Force Office of Scientific Research and the U.S. Atomic Energy Commission TPermanent address: Department of Physics and Astronomy, Uni...

An analogy between the thermodynamic inequalities presented by Nicholson et al. [Nat. Phys. 16, 1211 (2020)] and Yoshimura Ito [Phys. Rev. Res. 3, 013175 (2021)] is discussed. As a result, time–energy uncertainty relation in chemical thermodynamics terms of Gibbs free energy potential derived. It numerically demonstrated that uncertainly holds model system oscillatory Brusselator reactions. Our...