
arXiv: 2203.16441
We show the representability of density-entropy pairs with canonical and grand-canonical states, and we provide bounds on the kinetic energy of the representing states.
Quantum Physics, Dynamical aspects of statistical mechanics, FOS: Physical sciences, Quantum equilibrium statistical mechanics (general), Entropy and other invariants, isomorphism, classification in ergodic theory, Mathematical Physics (math-ph), [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], Quantum Physics (quant-ph), [PHYS.COND] Physics [physics]/Condensed Matter [cond-mat], Mathematical Physics
Quantum Physics, Dynamical aspects of statistical mechanics, FOS: Physical sciences, Quantum equilibrium statistical mechanics (general), Entropy and other invariants, isomorphism, classification in ergodic theory, Mathematical Physics (math-ph), [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], Quantum Physics (quant-ph), [PHYS.COND] Physics [physics]/Condensed Matter [cond-mat], Mathematical Physics
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