Time evolution of an unstable quantum system

Abstract

After reviewing the description of an unstable state in the framework of Lee Hamiltonians (valid both for Quantum Mechanics (QM) and Quantum Field Theory (QFT)), we consider some theoretical aspects of non-exponential decays: the case of two decay channels, the broadening of the energy spectrum at short times, the effect of an imperfect measurement, the link to QFT, and the decay of an unstable moving particle with definite momentum. All the presented effects were not confirmed in experiments, hence are at the present stage predictions.

To appear in the proceedings of the second Jagiellonian Symposium of Fundamental and Applied Subatomic Physics, 4-9/6/2017, Krakow, Poland. 6 pages, 3 figures

Cited by in corpus (5)

• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (II) Single-Baryon $\beta$-Decay in Real Time
• Regularities in the transformation of the oscillating decay rate in moving unstable quantum systems
• Transformation of intermediate times in the decays of moving unstable quantum systems via the exponential modes
• Time dilation in the oscillating decay laws of moving two-mass unstable quantum states
• Toward a QFT treatment of nonexponential decay