𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The weak atom—atom interaction potential from the master equation for radiation coupled to the atoms

✍ Scribed by E.A. Power; D.F. Walls

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
205 KB
Volume
67
Category
Article
ISSN
0009-2614

No coin nor oath required. For personal study only.

✦ Synopsis

It is shown how the asymptotic interatomic potential, that is the term varying as R-7 in the Casimir potential, arises from a master equation approach. The density matrix equation for the combined radiation and atoms is approximated by a master equation for the radiation density matrix obtained by tracing over the states of the reservoir consisting of a dilute gas of atoms. By extracting a common frequency shift, which depends on the atomic positions, for all diagonal elements of the reduced density matrix the energy shift for the dilute gas is seen to be a pairwise sum over the atoms of the R -7 potential.

📜 SIMILAR VOLUMES

Atom-atom coupling effect upon the inter
Atom-atom coupling effect upon the interaction of single mode radiation with two-level atoms
✍ Sotirios A. Hadjiagapiou 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 799 KB

We study a generalized model of the Jaynes-Cummings model introducing atom-atom coupling. First, we evaluate a Fokker-Planck type equation for the distribution function of the radiation and then study the effect of the atom-atom coupling. We evaluate a stationary solution of the distribution functio

Analytical calculation of atomic and mol
Analytical calculation of atomic and molecular electrostatic potentials from the Poisson equation
✍ S. Srebrenik; H. Weinstein; R. Pauncz 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 402 KB

An nnnlytic formulation is given for the total potential in atomic and molecular systems, based on the eIectrostatic approach from the Hetlmann-Feynman theorem. The potential function is obtained from the anaIytic solution of the Poisson equation using charge densities expressed as a superposition o