Survival law in a potential model

Abstract

The radial equation of a simple potential model has long been known to yield an exponential decay law in lowest order (Breit-Wigner) approximation. We demonstrate that if the calculation is extended to fourth order the decay law exhibits 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.

16 pages, 2 tables, 3 figures, AMS-TeX

References in corpus (4)

• Observation of the Quantum Zeno and Anti-Zeno effects in an unstable system
• Superoscillations and tunneling times
• Multibarrier tunneling
• Timelapse

Cited by in corpus (3)

• Non-exponential decay via tunneling in tight-binding lattices and the optical Zeno effect
• Dirac Equation Studies in the Tunnelling Energy Zone
• Running-phase state in a Josephson washboard potential