I Laws of thermodynamics and their application to quantum physics

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The Second Law of Thermodynamics states that the total entropy of an isolated system never decreases. But in a time-reversal experiment in quantum systems, would it be possible to observe an effective decrease in entropy? How does this reconcile with the classical view of irreversibility?
A Segunda Lei da Termodinâmica afirma que a entropia total de um sistema isolado nunca diminui. Mas em um experimento de reversão de tempo em sistemas quânticos, seria possível observar uma diminuição efetiva na entropia? Como isso se reconcilia com a visão clássica da irreversibilidade?
 
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Priscilaifrj said:
a time-reversal experiment
How would you run such an experiment?
 
And how exactly do you define quantum entropy of a closed system? (There are several inequivalent definitions, see e.g. Sec. 5.3 of my https://arxiv.org/abs/2308.10500)
 
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
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