2004/10/31 by R. Casana, G. Flores-Hidalgo, B. M. Pimentel · 7 citations
Computer Science · Mathematics · Physics and Astronomy · #Excited state #Harmonic oscillator #Mathematics #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum electrodynamics #Quantum harmonic oscillator #Quantum mechanics #Scalar (mathematics) #Scalar field #Statistical physics #hep-th #physics.atom-ph
paper · pdf · doi:10.1016/j.physleta.2005.01.031
published in Physics Letters A 337(1-2), 1-9 (Elsevier BV) · comments and references added, LaTex
openalex publication_date 2005/01/27 · arxiv created 2005/09/21 · arxiv updated 2011/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the problem of an harmonic oscillator coupled to a scalar field in the framework of recently introduced dressed coordinates. We compute all the probabilities associated with the decay process of an excited level of the oscillator. Instead of doing direct quantum mechanical calculations we establish some sum rules from which we infer the probabilities associated to the different decay processes of the oscillator. Thus, the sum rules allows to show that the transition probabilities between excited levels follow a binomial distribution.