Momentum-transfer scattering cross section and the Aharonov-Bohm effect on a toroidal solenoid

2000 ◽  
Vol 91 (4) ◽  
pp. 673-681 ◽  
Author(s):  
V. V. Lyuboshitz ◽  
V. L. Lyuboshitz
2007 ◽  
Vol 98 (15) ◽  
Author(s):  
A. Danagoulian ◽  
V. H. Mamyan ◽  
M. Roedelbronn ◽  
K. A. Aniol ◽  
J. R. M. Annand ◽  
...  

Author(s):  
M. K. Lamvik ◽  
A. V. Crewe

If a molecule or atom of material has molecular weight A, the number density of such units is given by n=Nρ/A, where N is Avogadro's number and ρ is the mass density of the material. The amount of scattering from each unit can be written by assigning an imaginary cross-sectional area σ to each unit. If the current I0 is incident on a thin slice of material of thickness z and the current I remains unscattered, then the scattering cross-section σ is defined by I=IOnσz. For a specimen that is not thin, the definition must be applied to each imaginary thin slice and the result I/I0 =exp(-nσz) is obtained by integrating over the whole thickness. It is useful to separate the variable mass-thickness w=ρz from the other factors to yield I/I0 =exp(-sw), where s=Nσ/A is the scattering cross-section per unit mass.


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