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Physics Letters B

The time scale for the quantum zeno paradox and proton decay

Ching-Yi Chiu, Baidyanath Misra, E. C. G. Sudarshan

Published Nov 1, 1982• 43 citations
Publisher
DOI
10.1016/0370-2693(82)90868-1

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Quantum mechanics enables the calculation of the time evolution of a dynamical system provided the Hamiltonian is defined and the initial state is specified. Due to the time reversal invariance, the time evolution of a given initial state at t=0 does not have a time-arrow. These problems have been extensively studied by E. C. G. Sudarshan and collaborators, including myself. Here the survival probability, which is the square of the survival amplitude, is an even function of t. Using the survival amplitude as a common framework, we discuss Zeno effects in several processes: the decay of an unstable particle, pion productions in proton-nucleus collisions and the Aharonov-Vardi effect which is another manifestation of the Zeno effect.