𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Proof of a combinatorial formula in the theory of multilevel maser systems

✍ Scribed by Earl W. Hobbs

Publisher
Elsevier Science
Year
1962
Tongue
English
Weight
335 KB
Volume
274
Category
Article
ISSN
0016-0032

No coin nor oath required. For personal study only.

✦ Synopsis

A proof, based on the theory of oriented linear graphs and their associated matrices, is given for the "inspection" method of calculating the steady-state normalized population densities in a multilevel maser system. The rules for the "inspection" method, previously given on a heuristic basis, are shown to be a consequence of the properties of a certain class of subgraphs of a linear graph simply related to the state diagram.

πŸ“œ SIMILAR VOLUMES

Calculation of the normalized population
Calculation of the normalized population distribution of multilevel maser systems by the inspection method
✍ J.D. Keating; William A. Barker πŸ“‚ Article πŸ“… 1962 πŸ› Elsevier Science 🌐 English βš– 695 KB

A method has been devised, and examples given, for determining the normalized steady state population distribution, hi, of multilevel maser systems, "by inspection" of the system energy-level diagram. Using this method, it is also possible to determine from inspection, such other parameters as the p

A new proof of the invariance principle
A new proof of the invariance principle in scattering theory
✍ John D Dollard; Charles N Friedman πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science 🌐 English βš– 220 KB

For free and interacting Hamiltonians, Ho and H = H,, + V(r) acting in L2(R3, dx) with V(r) a radial potential satisfying certain technical conditions, and for 9) a real function on R with v' > 0 except on a discrete set, we prove that the Moller wave operators Q\* = strong limit eiWHJ e-ifVtHo) t-?