Evolution in Time of Moving Unstable Systems

Abstract

Relativistic quantum theory shows that the known Einstein time dilation (ED) approximately holds for the decay law of the unstable particle having definite momentum p (DP). I use a different definition of the moving particle as the state with definite velocity v (DV). It is shown that in this case the decay law is not dilated. On the contrary, it is contracted as compared with the decay law of the particle at rest. It is demonstrated that ED fails in both DP and DV cases for time evolution of the simple unstable system of the kind of oscillating neutrino. Experiments are known which show that ED holds for mesons. The used theory may explain the fact by supposing that the measured mesons are in DP state.

14 pages, no figures, .tex file, sects 2, 3, 4 revised

References in corpus (1)

• Oscillations of neutrinos produced by a beam of electrons

Cited by in corpus (5)

• Moving system with speeded-up evolution
• Violations of Einstein's time dilation formula in particle decays
• Shirokov's contracting lifetimes and the interpretation of velocity eigenstates for unstable quantons
• Observations on Unstable Quantons, Hyperplane Dependence and Quantum Fields
• On the Quantum Deviations from Einstein Dilation of Unstable Quanton Decay Evolution and Lifetimes