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0 votes
0 answers
65 views

Justifying that the gold nucleus is at rest in a Rutherford experiment

This is an example on the Rutherford Experiment from Young and Freedman's University Physics. In the last paragraph of the solution the book states that it is valid to assume that the gold nucleus ...
nomadicmathematician's user avatar
5 votes
8 answers
2k views

Why does classical physics not predict particles in the double-slit experiment to land in just two different locations?

I stopped being able to understand the double-slit experiment way before any of the interference and associated "quantum weirdness" came into play. I get that one needs to approach this ...
Martin Drozdik's user avatar
1 vote
1 answer
42 views

Numerically Stable form of Scattering Angle

I'm working through the problems in Chapter 3 of the 3rd edition of Goldstein's Classical Mechanics and I'm stuck on Derivation 4. This problem asks the reader to rewrite the scattering angle \begin{...
kandb's user avatar
  • 373
2 votes
0 answers
37 views

Rainbow Scattering Potential Function

I am studying the 3rd edition of Goldstein's Classical Mechanics and in the discussion of scattering in a central field, the author mentions (but does not give the formula for) the following potential ...
Georgy Zhukov's user avatar
1 vote
1 answer
257 views

Scattering Differential Cross Section Laboratory Frame

Let the differential cross section of a scattering experiment given by $\frac{\text{d}\sigma_{c}}{\text{d}\Omega_{c}}(\vartheta_{c})$, where $\vartheta_{c}$ describes the scattering angle in the ...
vreithinger's user avatar
0 votes
0 answers
52 views

Equation for the trajectory of a positively charged particle fired towards an atomic nucleus

I'm interested in finding (or rather the mathematical approach to finding) an equation for the trajectory of a particle with charge $+q\space$ fired toward a stationary nucleus, i.e. the 'height' ($y$...
appletax13's user avatar
2 votes
1 answer
107 views

What accounts for the difference in factor of 4 between quantum cross section and classical cross section?

In classical mechanics, we could calculate the total cross section of scattering from hard sphere to be $$\pi a^2$$ where $a$ is the radius of sphere. Recently in quantum mechanics we calculated the ...
crime9894's user avatar
  • 301
1 vote
1 answer
109 views

Can’t find the right impact parameter - flux of particles scattered by surface of revolution [closed]

I’ll be so happy to understand what am I doing wrong. There is no potential in the question so I assumed this is solvable by geometry alone. The question ask for the impact parameter while $$\rho=\...
Q Wolf's user avatar
  • 60
1 vote
2 answers
469 views

Has the double slit experiment with classical projectiles ever been performed?

I was wondering if the double slit experiment with mascroscopic objects has ever been tried. In any course of quantum mechanics, a way to introduce quantum effects is to introduce the double slit ...
Mauricio's user avatar
  • 5,568
2 votes
0 answers
77 views

Physical Intuition of Inelastic Mean Free Path

The inelastic mean free path (IMFP) is a quasi-universal curve which describes how far a beam of electrons will travel through a material before scattering inelastically. I have been searching for ...
NJP's user avatar
  • 162
7 votes
2 answers
341 views

Classical motion in delta potential

The question about classical motion in delta potential may seem artificial, but it makes sense if you try to calculate the propagator for particle in delta-potential, because you usually need to know ...
Alex Goldstein's user avatar
2 votes
0 answers
70 views

Reference request: Scattering from action

Consider a separable solution to a Hamilton-Jacobi equation of an $n$-dimensional autonomous system of the form $$W(\alpha_1,...,\alpha_n,x^1,...,x^n) = \sum_j \int_0^{x^j} w^j(\alpha_1,...,\alpha_n,x'...
1 vote
2 answers
287 views

Why does the scattering cross section equal to the sum over all differential cross section; including the incident angle?

According to Beer Lambert's law, the intensity of light passing through a homogeneous medium diminishes at a rate proportional to the incident intensity; i.e. $$ \frac{dI(s)}{ds} = -I(s)\sigma\, , $$ ...
Tian's user avatar
  • 310
0 votes
1 answer
388 views

Clarification for the formulae for Differential Cross Section in Scattering theory [duplicate]

I am trying to study scattering theory using "Quantum Mechanics Concepts and Applications" by "Nouredine Zettili" . He starts from the formula $${d \sigma( \theta,\phi) \over d \Omega } = {1 \over ...
ROBIN RAJ's user avatar
  • 545
3 votes
1 answer
835 views

How can I calculate scattering cross section of Yukawa potential classically?

https://en.wikipedia.org/wiki/Yukawa_interaction#Classical_potential Here is classical form of Yukawa potential. I want to calculate classical scattering cross section of this potential ...
Exciting_Squid's user avatar

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