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On the Time Arrow and the Theory of Irrevrsible Process

並列摘要


In the existing theories of irreversible processes, the time arrow and the irreversibility are introduced by means of various specific assumptions. In a elementary discussion. it is shown that time arrow and irreversibility can be introduced by a general 'probability Ansatz', i.e. a relation between two sets of probabilities at two instants of time. This Ansatz leads directly to the Master equation. In the quantum theory, this Ansatz may be founded on the random-phase hypothesis which leads to the Pauli equation. Special attention is paid to the time reversal properties of the theories of irreversible processes with respect to the time symmetry of the underlying microscopic theories.

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