A general analytical expression for classical ergotropy is derived and shown to be the classical limit of the quantum expression for ergodic systems, with the coherent-incoherent decomposition persisting classically.
Messiah,Quantum Mechanics(North Holland, Amsterdam, 1962)
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Unified theory of classical and quantum ergotropy
A general analytical expression for classical ergotropy is derived and shown to be the classical limit of the quantum expression for ergodic systems, with the coherent-incoherent decomposition persisting classically.