Rates of exponential decay in systems of discrete energy levels by Stieltjes imaging

Citations Over TimeTop 21% of 2014 papers

Abstract

An isolated bound state coupled to a continuum shows an exponential decay of its survival probability. Rates of the exponential decay occurring due to the bound-continuum coupling can be recovered from discretized continuum (L(2)) calculations using a computational technique known as Stieltjes-Chebyshev moment theory or Stieltjes imaging. At the same time, some genuinely discrete level systems, e.g., Bixon-Jortner model, also show an exponential (or approximately exponential) decay of the initially populated level before the onset of quantum revivals. Here, we demonstrate numerically that Stieltjes imaging can be used for calculation of the rates of the exponential decay in such discrete level systems. We apply the Stieltjes imaging technique to the approximately exponential decay of inner-valence vacancies in trans-butadiene in order to show that the breakdown of the molecular orbital picture of ionization in the inner valence region can be physically interpreted as an energy-forbidden Coster-Kronig transition.

Related Papers

• → OSL decay curves—relationship between single- and multiple-grain aliquots(2004)24 cited
• → Information theory and bulk rotational or vibrational relaxation processes(1977)7 cited
• → Evolutionary model of flexible exponential function to characterize decay pattern of OCT signal in turbid tissues(2008)
• → The blow-up phenomena and exponential decay of solutions for a three-component Camassa-Holm equations(2014)
• → Photoconductor Discharge Curves, the Stretched Exponential, and Exponential Decay Functions(2005)