The true quantum face of the "exponential" decay law

Abstract

Results of theoretical studies of the quantum unstable systems caused that there are rather widespread belief that a universal feature od the quantum decay process is the presence of three time regimes of the decay process: the early time (initial) leading to the Quantum Zeno (or Anti Zeno) Effects, "exponential" (or "canonical") described by the decay law of the exponential form, and late time characterized by the decay law having inverse--power law form. Based on the fundamental principles of the quantum theory we give the proof that there is no time interval in which the survival probability (decay law) could be a decreasing function of time of the purely exponential form but even at the "exponential" regime the decay curve is oscillatory modulated with a smaller or a large amplitude of oscillations depending on parameters of the model considered.

LaTeX 2e,13 pages, 3 figures

References in corpus (3)

• Observation of Non-Exponential Orbital Electron Capture Decays of Hydrogen-Like ${}^{140}$Pr and ${}^{142}$Pm Ions
• Non-exponential and oscillatory decays in quantum mechanics
• A quantum long time energy red shift: a contribution to varying $\alpha$ theories

Cited by in corpus (7)

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• Quantum decay law: Critical times and the Equivalence of approaches
• Formal Aspects of Quantum Decay
• Decay properties of unstable Tonks-Girardeau gases from a split trap
• Phenomenological modification of horizon temperature
• Toward a QFT treatment of nonexponential decay