Journal
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
Volume 73, Issue 7, Pages 619-628Publisher
WALTER DE GRUYTER GMBH
DOI: 10.1515/zna-2018-0096
Keywords
Logarithmic Quantum Wave Equation; Open Quantum Systems; Quantum Bose Liquid; Quantum Temperature
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Funding
- National Research Foundation of South Africa [95965, 98892]
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We 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.
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