# Phenomenological Quantum Thermodynamics of Closed Bipartite Schottky Systems

## TL;DR

This paper proposes a novel approach to quantum thermodynamics by relaxing the time-independence constraint of probability weights in the von Neumann equation, enabling the integration of thermodynamical concepts into quantum mechanics.

## Contribution

It introduces a phenomenological framework for quantum thermodynamics of closed bipartite systems by modifying the von Neumann equation, distinct from Lindblad's approach.

## Key findings

- Demonstrates thermodynamical behavior in quantum systems with time-dependent weights
- Provides a new theoretical foundation for quantum thermodynamics of bipartite systems
- Shows potential for extending phenomenological thermodynamics to quantum regimes

## Abstract

How to introduce thermodynamics to quantum mechanics ? Among from numerous possibilities of solving this task, the simple choice is here: The conventional von Neumann equation deals with a density operator whose probability weights are time independent. Because there is no reason apart from the reversible quantum mechanics that these weights have to be time independent, this constraint is waived, thus making possible to introduce thermodynamical concepts to quantum mechanics. %\textcolor{green}{ This procedure is similar to that of Lindblad's equation, but different on principle. %\textcolor{red}{ But beyond this simple starting-point, the applied thermodynamical concepts of discrete systems may perform a "source theory" for other versions of phenomenological quantum thermodynamics.