Van Hove's "λ^2 t" limit in nonrelativistic and relativistic field-theoretical models

Abstract

Van Hove's "λ^2 t" limiting procedure is analyzed in some interesting quantum field theoretical cases, both in nonrelativistic and relativistic models. We look at the deviations from a purely exponential behavior in a decay process and discuss the subtle issues of state preparation and initial time.

18 pages, 4 figures

References in corpus (2)

• Temporal behavior and quantum Zeno time of an excited state of the hydrogen atom
• Deviations from exponential law and Van Hove's "λ^2 t" limit

Cited by in corpus (9)

• Theory of Transport Processes and the Method of the Nonequilibrium Statistical Operator
• Which is the Quantum Decay Law of Relativistic Particles?
• Energy uncertainty of the final state of a decay process
• Capturing non-exponential dynamics in the presence of two decay channels
• Thermal contribution of unstable states
• Multichannel decay law
• Quantum decay in renormalizable field theories: quasiparticle formation, Zeno and anti-Zeno effects
• Two-exponential decay of Acridine Orange
• Toward a QFT treatment of nonexponential decay