What Causes the Unique Scattering Patterns in the Ramsauer–Townsend Effect?

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The Ramsauer–Townsend effect shows that electron scattering decreases monotonically with increasing velocity because faster electrons are less likely to collide with gas atoms, as their energy is insufficient to cause a collision. The unique scattering pattern typically features a single minimum, which is characteristic of noble gases like xenon. This single minimum arises from the decreasing probability of scattering at higher velocities. However, using different gases, such as iodine, could result in multiple minima due to varying interaction dynamics. Understanding these principles is crucial for conducting the experiment effectively.
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I am currently about to do this experiment in my lab class. I had a couple of questions as I was reading over papers on the experiment:

1) Why is it classically that the scattering of the electrons decrease monotonically when velocity increases? All of the papers and websites mentioned it, but didn't explain it.

2) Why is there only one minimum? More specifically, is this fundamental to the Xenon gas (or noble gases)? If we used say, an Iodine gas, would we still get one minimum or even a minimum at all?

I haven't started the experiment yet but I would like to have a deeper understanding of the concepts before I begin. Thanks for all the help in advance!
 
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1) The monotonic decrease in the scattering of electrons is due to the fact that as the velocity of the electrons increases, they are more likely to pass through the gas atoms without experiencing a collision. At higher velocities, the probability of colliding with an atom is low since the energy required to cause a collision is greater than what the electron has. 2) The single minimum results from the fact that the probability of scattering decreases with increasing velocity, as explained in answer 1. This behavior is typical of noble gases such as xenon, but may be different for other gases. For example, iodine gas may produce multiple minima.
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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