scholarly journals A new perturbation technique for eigenenergies of the screened coulomb potential

2005 ◽  
Author(s):  
I.V. Dobrovolska ◽  
R.S. Tutik
Keyword(s):  
Coulomb Potential ◽  
Perturbation Technique ◽  
Screened Coulomb Potential ◽  
New Perturbation

scholarly journals Osmotic water permeability of human red cells.

1981 ◽  
Vol 77 (5) ◽  
pp. 549-570 ◽  
Author(s):  
T C Terwilliger ◽  
A K Solomon
Keyword(s):  
Systematic Error ◽  
Water Permeability ◽  
Perturbation Technique ◽  
Mean Value ◽  
Red Cells ◽  
Osmotic Water Permeability ◽  
Osmotic Water ◽  
New Perturbation ◽  
The Relationship ◽  
Human Red Cells

The osmotic water permeability of human red cells has been reexamined with a stopped-flow device and a new perturbation technique. Small osmotic gradients are used to minimize the systematic error caused by nonlinearities in the relationship between cell volume and light scattering. Corrections are then made for residual systematic error. Our results show that the hydraulic conductivity, Lp, is essentially independent of the direction of water flow and of osmolality in the range 184-365 mosM. the mean value of Lp obtained obtained was 1.8 +/- 0.1 (SEM) X 10-11 cm3 dyne -1 s-1.

A New Perturbation Method for Oscillatory Systems

2003 ◽  
Author(s):  
Ronald E. Mickens
Keyword(s):  
Harmonic Oscillator ◽  
Numerical Solutions ◽  
Perturbation Technique ◽  
Equivalent Linearization ◽  
Oscillatory Solutions ◽  
Research Grants ◽  
First Order ◽  
Oscillatory Systems ◽  
Analytical Approximations ◽  
New Perturbation

We present preliminary results on a new perturbation technique that combines the fundamental elements of the methods of equivalent linearization and first-order averaging. The importance of this procedure is derived from the fact that it can be applied to ODE’s having oscillatory solutions, but for which no harmonic oscillator limiting equation exists. The procedure is illustrated by showing how it can be used to calculate analytical approximations to two nonlinear ODE’s. Comparison with the corresponding accurate numerical solutions is also given. The work presented here was supported in part by research grants from DOE and the MBRS-SCORE Program at Clark Atlanta University.

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