Phenomenological Non-Equilibrium Quantum Thermodynamics based on Modified von Neumann Equations

• URL: http://arxiv.org/abs/2211.12558v1
• Date: Tue, 22 Nov 2022 20:16:32 GMT
• Title: Phenomenological Non-Equilibrium Quantum Thermodynamics based on Modified von Neumann Equations
• Authors: Wolfgang Muschik
• Abstract summary: Original quantum mechanics is a reversible theory, but only for undecomposed systems. Taking sub-systems into account, as it is by definition necessary for decomposed systems, the interaction Hamiltonians which are absent in undecomposed systems generate irreversibility.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The wide-spread opinion is that original quantum mechanics is a reversible theory, but this statement is only true for undecomposed systems, that are those systems which sub-systems are out of consideration. Taking sub-systems into account, as it is by definition necessary for decomposed systems, the interaction Hamiltonians which are absent in undecomposed systems generate irreversibility. Thus, the following two-stage task arises: How to modify von Neumann's equation for undecomposed systems so that irreversibility appears, and how this modification affects decomposed systems ? The first step was already done and is repeated below, whereas the second step to formulate a quantum thermodynamics of decomposed systems is performed here by modifying the von Neumann equations of the sub-systems by a procedure wich is similar to that of Lindblad's equation, but different because the sub-systems interact with one another through partitions.

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