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We propose a list of conditions that consistency with thermodynamics imposeson linear and nonlinear generalizations of standard unitary quantum mechanicsthat assume a set of true quantum states without the restriction $\rho^2=\rho$even for strictly isolated systems and that are to be considered inexperimental tests of the existence of intrinsic (spontaneous) decoherence atthe microscopic level.Comment: RevTeX, 4 page

NONLINEAR EXTENSIONS OF SCHRÖDINGER–VON NEUMANN QUANTUM DYNAMICS: A SET OF NECESSARY CONDITIONS FOR COMPATIBILITY WITH THERMODYNAMICS