Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Springer eBooks

The Zitterbewegung and the Einstein A Coefficient of Spontaneous Emission

A. O. Barut

Published Jan 1, 1983• 5 citations
Publisher
DOI
10.1007/978-1-4684-8830-2_3

Related papers

Spontaneous and Stimulated (Induced) Emission and Einstein's A and B Coefficients

PC Mukherjee

Jaypee Brothers Medical Publishers (P) Ltd. eBooks•Jan 1, 2009•0 citations

The einstein a-coefficient of spontaneous emission: a relativistic calculation in the Heisenberg representation

A. O. Barut, Yousef I. Salamin

Zeitschrift für Physik D Atoms Molecules and Clusters•Mar 1, 1991•4 citations

An Extension of Einstein’s Treatment of Spontaneous Emission

Albert Rose

Springer eBooks•Jan 1, 1987•1 citation

Change of ions’ spontaneous emission by an intense laser beam

Hui W. Cao, Darrell S. DiCicco, S. Suckewer

For atomic systems under strong influence of electromagnetic fields, the values of Einstein A and B coefficients have been observed to change from those of isolated atoms. However in our previous experiments which demonstrated the changes of A-coefficients, the self absorption of spontaneous emission was very strong and might the experimental result. In order to reduce the absorption drastically so that its effect can be neglected, we conducted a new experiment. In our new experiment, we measured the spontaneous emission from a very short discharge tube where the absorption was less than 4%. We also use a multichannel detector to monitor a number of spontaneous emission lines simultaneously. We observed that, as the incident photon flux increased, the intensity ratio of two spontaneous emission lines from the same upper level decreased. Any possible instrumental effect has been checked and eliminated. Therefore we can conclude that such observed decrement can only due to the change of Einstein A-coefficients.

Annual Meeting Optical Society of America•Jan 1, 1993•0 citations

Comparison of the classical rate and the Einstein coefficient for spontaneous emission in a light-absorbing cavity

Vitaly V. Datsyuk, Saulius Juodkazis, Hiroaki Misawa

The rate of spontaneous electromagnetic emission in a cavity is the normalized output radiation rate in the classical electrodynamics and the Einstein $A$ coefficient in a quantum theory. We reveal the difference and similarity between the quantum and classical rates by calculations of the relative output power of the resonant spontaneous electric-dipole emission as a function of light absorption in a high-$Q$ cavity. We show that the relative resonant output power is equal to the relative width of a morphology-dependent resonance in the spectral dependence of the Einstein $A$ coefficient. The validity of the theory is demonstrated by numerical verification of an experimental result on a microsphere.

Physical Review A•Aug 15, 2005•4 citations

Spontaneous radiation by a three-level atom in a dissipative medium

Hui W. Cao, Chang-qi Cao

Spontaneous radiation by three-level atoms in a dissipative medium (such as plasma) has been investigated by Langevin equations and the modified Weisskopf-Wigner approximation. General formulae for calculating spontaneous emission coefficients, i.e. Einstein A coefficients, are presented. Numerical calculation shows that the dissipation of plasmas can modify the spontaneous emission coefficients significantly and causes a pit in the coefficient-density curves for relatively low temperature plasmas, and also a pit in the coefficient-temperature curves.

Journal of Physics B Atomic Molecular and Optical Physics•Mar 28, 1995•5 citations
For atomic systems under strong influence of electromagnetic fields, the values of Einstein A and B coefficients have been observed to change from those of isolated atoms. However in our previous experiments which demonstrated the changes of A-coefficients, the self absorption of spontaneous emission was very strong and might the experimental result. In order to reduce the absorption drastically so that its effect can be neglected, we conducted a new experiment. In our new experiment, we measured the spontaneous emission from a very short discharge tube where the absorption was less than 4%. We also use a multichannel detector to monitor a number of spontaneous emission lines simultaneously. We observed that, as the incident photon flux increased, the intensity ratio of two spontaneous emission lines from the same upper level decreased. Any possible instrumental effect has been checked and eliminated. Therefore we can conclude that such observed decrement can only due to the change of Einstein A-coefficients.
The rate of spontaneous electromagnetic emission in a cavity is the normalized output radiation rate in the classical electrodynamics and the Einstein AAA coefficient in a quantum theory. We reveal the difference and similarity between the quantum and classical rates by calculations of the relative output power of the resonant spontaneous electric-dipole emission as a function of light absorption in a high-QQQ cavity. We show that the relative resonant output power is equal to the relative width of a morphology-dependent resonance in the spectral dependence of the Einstein AAA coefficient. The validity of the theory is demonstrated by numerical verification of an experimental result on a microsphere.
Spontaneous radiation by three-level atoms in a dissipative medium (such as plasma) has been investigated by Langevin equations and the modified Weisskopf-Wigner approximation. General formulae for calculating spontaneous emission coefficients, i.e. Einstein A coefficients, are presented. Numerical calculation shows that the dissipation of plasmas can modify the spontaneous emission coefficients significantly and causes a pit in the coefficient-density curves for relatively low temperature plasmas, and also a pit in the coefficient-temperature curves.