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Related papers: Spontaneous light emission by atomic Hydrogen: Fer…

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We reconsider the problem of the spontaneous emission of light by an excited atomic state. We scrutinize the survival probability of this excited state for very short times, in the so-called Zeno regime, for which we show that the dynamics…

Quantum Physics · Physics 2015-08-26 Vincent Debierre , Isabelle Goessens , Édouard Brainis , Thomas Durt

Fermi's golden rule is of great importance in quantum dynamics. However, in many textbooks on quantum mechanics, its contents and limitations are obscured by the approximations and arguments in the derivation, which are inevitable because…

Quantum Physics · Physics 2016-10-07 J. M. Zhang , Y. Liu

We demonstrate an effective method for calculating bound-to-continuum cross-sections by examining transitions to bound states above the ionization energy that result from placing the system of interest within an infinite spherical well.…

Atomic Physics · Physics 2012-09-18 Lisa Madeleine Ugray , Ralph C. Shiell

Fermi's golden rule describes the leading-order behaviour of the reaction rate as a function of the diabatic coupling. Its asymptotic $(\hbar \rightarrow 0)$ limit is the semiclassical golden-rule instanton rate theory, which rigorously…

Chemical Physics · Physics 2022-05-18 George Trenins , Jeremy O. Richardson

A novel and readily understandable derivation of the Golden Rule of time dependent perturbation theory is presented. The derivation is based on adiabatic turning on of the perturbation as used, for instance, in some formal developments of…

Quantum Physics · Physics 2020-06-24 M G Burt

In the positron-electron annihilation process, finite deviations from the standard calculation based on the Fermi's Golden rule are suggested in recent theoretical work. This paper describes an experimental test of the predictions of this…

High Energy Physics - Experiment · Physics 2020-04-29 R. Ushioda , O. Jinnouchi , K. Ishikawa , T. Sloan

We present a Gedankenexperiment that leads to a violation of detailed balance if quantum mechanical transition probabilities are treated in the usual way by applying Fermi's "golden rule". This Gedankenexperiment introduces a collection of…

Quantum Physics · Physics 2020-09-21 Daniel Braak , Jochen Mannhart

The decay rate $\gam$ of an excited dipole molecule inside a waveguide is evaluated for the strongly coupled matter-field case near a cutoff frequency $\ome_c$ without using perturbation analysis. Due to the singularity in the density of…

Atomic Physics · Physics 2009-11-10 T. Petrosky , Chu-Ong Ting , Sterling Garmon

Fermi's golden rule defines the transition rate between weakly coupled states and can thus be used to describe a multitude of molecular processes including electron-transfer reactions and light-matter interaction. However, it can only be…

Chemical Physics · Physics 2020-03-03 Eric R. Heller , Jeremy O. Richardson

We study the temporal evolution of a three-level system (such as an atom or a molecule), initially prepared in an excited state, bathed in a laser field tuned at the transition frequency of the other level. The features of the spontaneous…

Quantum Physics · Physics 2009-10-31 P. Facchi , S. Pascazio

Electron transfer reactions play an essential role in many chemical and biological processes. Fermi's Golden rule, which assumes that the coupling between electronic states is small, has formed the foundation of electron transfer rate…

Chemical Physics · Physics 2024-07-19 Thomas P Fay

Fermi's golden rule describes the decay dynamics of unstable quantum systems coupled to a reservoir, and predicts a linear decay in time. Although it arises at relatively short times, the Fermi regime does not take hold in the earliest…

Quantum Physics · Physics 2021-04-28 V. Debierre , E. Lassalle

The basic theory of photoemission, inverse photoemission, Auger-electron and appearance-potential spectroscopy is developed within a unified framework starting from Fermi's golden rule. The spin-resolved and temperature-dependent…

Strongly Correlated Electrons · Physics 2007-05-23 M. Potthoff

For atoms and crystals with an ideal symmetry, the optical selection rules for electronic transitions are well covered in physics textbooks. However, in studies of material systems one often encounters systems with a weakly distorted…

Atomic Physics · Physics 2018-10-16 G. J. J. Lof , C. H. van der Wal , R. W. A. Havenith

Open systems that are weakly coupled to a thermal environment and driven by fast, periodically oscillating fields are commonly assumed to approach an equilibrium-like steady state with respect to a truncated Floquet-Magnus Hamiltonian.…

Statistical Mechanics · Physics 2025-02-04 Wilson S. Martins , Federico Carollo , Kay Brandner , Igor Lesanovsky

We review the calculation of Fermi's golden rule for a system of $N$-body dipoles, magnetic or electric, weakly interacting with a blackbody radiation. By using the magnetic or electric field-field correlation function evaluated in the…

Quantum Physics · Physics 2016-09-26 Massimo Ostilli , Carlo Presilla

In the present work, a theoretical study of electron-phonon (electron-ion) coupling rates in semiconductors driven out of equilibrium is performed. Transient change of optical coefficients reflects the band gap shrinkage in covalently…

Materials Science · Physics 2017-02-22 Nikita Medvedev , Zheng Li , Victor Tkachenko , Beata Ziaja

Measurements of spin dynamics of electrons in a degenerate two dimensional electron gas, where the Dyakonov-Perel mechanism is dominant, have been used to investigate the electron scattering time (tp*) as a function of energy near the Fermi…

Other Condensed Matter · Physics 2008-03-11 W. J. H. Leylanda , R. T. Harley , M. Henini , A. J. Shields , I. Farrer , D. A. Ritchie

Ultrafast optical excitation of metals induces a non-equilibrium energy distribution in the electronic system, with a characteristic step-structure determined by Pauli blocking. On a femtosecond timescale, electron-electron scattering…

Particle-gamma coincidences from the 46Ti(p,p' gamma)46Ti inelastic scattering reaction with 15-MeV protons are utilized to obtain gamma-ray spectra as a function of excitation energy. The rich data set allows analyzing the coincidence data…

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