Quantum Counterpart of Equipartition Theorem: A Möbius Inversion Approach
arXiv:2311.02588 · doi:10.1103/PhysRevResearch.6.L032064
Abstract
The equipartition theorem is crucial in classical statistical physics, and recent studies have revealed its quantum counterpart for specific systems. This raises the question: does a quantum counterpart of the equipartition theorem exist for any given system, and if so, what is its concrete form? In this Letter, we employ the Möbius inversion approach to address these questions, providing a criterion to determine whether a system adheres to the quantum counterpart of the equipartition theorem. If it does, the corresponding distribution function can be readily derived. Furthermore, we construct the fermionic version of the criterion in a manner analogous to the bosonic case.
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References in corpus (8)
- Physics of the Riemann Hypothesis
- Barrow's black hole entropy and the equipartition theorem
- Quantum partition of energy for a free Brownian particle: Impact of dissipation
- On the Limiting Cases of Nonextensive Thermostatistics
- Independent-oscillator model and the quantum Langevin equation for an oscillator: A review
- Partition of kinetic energy and magnetic moment in dissipative diamagnetism
- Generalised energy equipartition in electrical circuits
- Quantum Counterpart of Equipartition Theorem in Quadratic Systems