Dunham variable

Apart from the distance variable x that Dunham used in his function V(x) for potential energy, other variables are amenable to production of term coefficients in symbolic form as functions of the corresponding coefficients in a power series of exactly the same form as in formula 16. Through any method to derive algebraic expressions for Dunham coefficients l j, the hamiltonian might have x as its distance variable, but after those expressions are produced they are convertible to contain coefficients of other variables possessing more convenient properties. To replace x, two defined variables are y [38],... 

Dunham s consideration of available spectra of HCl in 1930 [1,2] resulted in production of a radial function for electric dipolar moment that we express in a contemporary form, similar to that in formula 56 but in terms of variable x, defined in formula 15, instead of z, defined in formula 21 ... 

In integrable systems, the periodic orbits are not isolated but form continuous families, which are associated with so-called resonant tori. In action-angle variables, the Hamiltonian depends only on the action variables, similar to the Dunham expansion, ... 

In a classic paper, Dunham [10] introduced a dimensionless vibrational variable f defined by... 

Representing a given diatomic potential as a power-series expansion in terms of the D variable, Eq. (1), Dunham justified via the WKBJ approach (see Section IV) the well-known energy expression for diatomic molecules (Dunham, 1932) ... 

Dunham MD, Johnstone B Variability of neuropsychological deficits associated with carbon monoxide poisoning four case reports. Brain Inj 13 917-925,1999... 

Price, A. G., Dunham, K., Carleton, T., and Band, L. (1997). Variability of water fluxes through the black spruce (Picea mariana) canopy and feather moss (Pleurozium schreheri) carpet in the boreal forest of Northern Manitoba./. Hydrol. 196, 310-323. 

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