Non-exponential decay in Quantum Mechanics and Quantum Field Theory

Abstract

We describe some salient features as well as some recent developments concerning short-time deviations from the exponential decay law in the context of Quantum Mechanics by using the Lee Hamiltonian approach and Quantum Field Theory by using relativistic Lagrangians. In particular, the case in which two decay channels are present is analyzed: the ratio of decay probability densities, which is a constant equal to the ratio of decay widths in the exponential limit, shows in general sizable fluctuations which persist also at long times.

Proceeding contribution for the symposium "Symmetries in Science", 21-26/7/2013, Bregenz (Austria). 6 pages, 2 figures

References in corpus (8)

• Observation of Non-Exponential Orbital Electron Capture Decays of Hydrogen-Like ${}^{140}$Pr and ${}^{142}$Pm Ions
• On the spectral functions of scalar mesons
• High-resolution measurement of the time-modulated orbital electron capture and of the ${\beta }^{+}$ decay of hydrogen-like ${}^{142}$Pm${}^{60+}$ ions
• Rates of Processes with Coherent Production of Different Particles and the GSI Time Anomaly
• On the time modulation of the K-shell electron capture decay rates of H-like heavy ions at GSI experiments
• Propagator poles and an emergent stable state below threshold: general discussion and the E(38) state
• Energy uncertainty of the final state of a decay process
• The lightest scalar meson in a simple approach

Cited by in corpus (1)

• Positive Hamiltonians cannot give exponential decay of positive observables