期刊
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
卷 73, 期 7, 页码 619-628出版社
WALTER DE GRUYTER GMBH
DOI: 10.1515/zna-2018-0096
关键词
Logarithmic Quantum Wave Equation; Open Quantum Systems; Quantum Bose Liquid; Quantum Temperature
资金
- National Research Foundation of South Africa [95965, 98892]
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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