Survival law in a potential model

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Abstract
The radial equation of a simple potential model has long been known to yield an exponential survival law in a lowest-order (Breit-Wigner) approximation. We demonstrate that if the calculation is extended to fourth order, the survival law exhibits a parabolic short-time behavior which leads to the quantum Zeno effect. This model has further been studied numerically to characterize the extra exponential time parameter which compliments the lifetime. We also investigate the inverse Zeno effect.

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