Zloshchastiev, Konstantin G.2025-02-272025-02-272018-07Zloshchastiev, K.G. 2018. On the dynamical nature of nonlinear coupling of logarithmic quantum wave equation, Everett Hirschman entropy and temperature. Zeitschrift fur Naturforschung A, 73(7): 619-628. doi:10.1515/zna-2018-00960932-07841865-7109 (Online)isidoc: GM6WGhttps://hdl.handle.net/10321/5789We study the dynamical behavior of the nonlinear coupling of a logarithmic quantum wave equation. Using the statistical mechanical arguments for a large class of many-body systems, this coupling is shown to be related to temperature, which is a thermodynamic conjugate to the Everett-Hirschman’s quantum information entropy. A combined quantum-mechanical and field-theoretical model is proposed, which leads to a logarithmic equation with variable nonlinear coupling. We study its properties and present arguments regarding its nature and interpretation, including the connection to Landauer’s principle. We also demonstrate that our model is able to describe linear quantum-mechanical systems with shape-changing external potentials.9 penLogarithmic Quantum Wave EquationOpen Quantum SystemsQuantum Bose LiquidQuantum Temperaturequant-phmath-phLogarithmic Quantum Wave EquationOpen Quantum SystemsQuantum Bose LiquidQuantum Temperature0201 Astronomical and Space Sciences0306 Physical Chemistry (incl. Structural)General Physics3402 Inorganic chemistry3406 Physical chemistry5104 Condensed matter physicsArticle2025-02-2710.1515/zna-2018-0096