It is an open question. The professor asked us to find a suitable method to solve it with the help of a computer.
When I learned the Mie scattering, the equations are given for particles in homogenous medium. But now half of the particle is surrounded by glass while the other half by air...
Hello ,
Why does an incoming photon can only scatter from an electron if the electron is not bound top an atom ?
Because from what I know a bound electron can absorb a photon then be excited to a higher energy level and then re-emit a photon while transitioning back to it's previous energy...
First of all, this is question from the modern physics module in 1st year physics program. The problem is I have no prior knowledge about spectroscopy or Lorentzian profile. However, the Compton scattering topic was already introduced.
The Compton scattering formula can be changed into the...
Show that the Feynman amplitude for Compton scattering ##\mathcal{M} = \mathcal{M}_a + \mathcal{M}_b## is gauge invariant while the individual contributions ##\mathcal{M}_a## and ##\mathcal{M}_b## are not, by considering the gauge transformations
$$\varepsilon^{\mu} (\vec k_i) \rightarrow...
Hello fellow physicists,
I have a homework assignment which is to make a scientific essay (10-15 pages long) on neutron scattering in solid state physics. Our teacher is kind of the worse and he hasn't specified what he wants it on. He just said what I'm telling you: "An essay on neutron...
I'm researching a bit on Compton Scattering, especially in relation to, backscattering scanner, like one would see in an airport. I think I understood that the angle of deflection is in relationship to the loss of energy of the photon, where λf - λi = h/mc(1-cosθ). So if you know the...
Hi,
New to the forum here! I'm teaching age 16-18 physics in the UK. I was wondering if anyone in here might have experience using equipment that looks like this:
https://www.eiscolabs.com/products/alpha-scattering
It's a physical analogue of Rutherford's famous experiment: roll ball bearings...
I know $$ i\mathcal{M}(\vec {k_1}\vec{k_2}\rightarrow \vec{p_1}\vec{p_2})(2\pi)^4\delta^{(4)}(p_1 +p_2-k_1-k_2) $$ =sum of all (all connected and amputated Feynman diagrams), but what is meant by 1 loop order? In other words, when I take the scattering matix element...
I'm unsure of how to proceed here. Would I use the equation
E(gamma prime)= E(gamma)/(1+(E(gamma)/(mc^2)(1-cos(theta))) ?
Also, do I keep the .662 Mev as is or do I convert to joules?
I have the equation but I am unsure of what my r min would be. Is it the sum of the radii or the difference? I am also confused on what z1 would be. I am fairly sure z2 is the atomic number of Fe(26) but I am unsure of this as well.
Edit: I just read that z1 could be 2, is this correct?
We have the potential $$V(x)=-\frac{1}{\cosh^2 (x)}$$
Show that the Schrödinger equation has the solution
$$\psi(x)=(\tanh(x)-ik)e^{ikx}$$
and calculate the transmission and reflection coefficients for the scattering process.
It is easy to show that the given wavefunction indeed solves the...
I what to know what is electron scattering in Brillouin zone boundary?
What exactly happen for electron in Brillouin zone boundary; what happen for it in real space and what happen for it in reciprocal space?
And is electron scattering from a Brillouin zone boundary could be a source for...
https://hackaday.io/project/1279-ramanpi-raman-spectrometer
It's a pretty nifty gadget this Raspberry thingy. A computer the size of a pack of cigs. :)
And a mass spectrometer... I'm not sure what such a device costs but I'm sure it pretty frigging expensive!
Overview of thread:
1. Quick derivation of bragg scattering
2. Discussion of modern xray experiments as they relate to bragg/fraunhofer
3. Summary of points.
Bragg/von Lau Scattering:
(I will be following Ashcroft if you want to sing along, pg 98-99)
Imagine you have light incident on some...
I am struggling over a problem and i could really use some help in this.
So it's about finding phase shifts in a localized sphere of coulomb and harmonic potential. I tried solving the radial Schrodinger equation for both of them by using power series method, but still i am having problem...
Hey everyone,
I've got a question on converting bound protons into neutrons.
a. What are some methods used to achieve the proton-to-neutron conversion in atomic nuclei?
I'm familiar with particle scattering off a proton in the nucleus. I'm also aware of (n,p) reactions. Are there any other...
Hi,
Which force does govern the neutron elastic scattering and capture reactions? It seems to me it is the strong nuclear force, but I am not sure about that.Thanks.
I've been studying Compton Scattering (Mandl & Shaw, https://ia800108.us.archive.org/32/items/FranzMandlGrahamShawQuantumFieldTheoryWiley2010/Franz%20Mandl%2C%20Graham%20Shaw-Quantum%20Field%20Theory-Wiley%20%282010%29.pdf) and the derivation of the following formulas:
1) Differential cross...
We know ##\lambda_{blue} < \lambda_{red}## so citing the formula above (in the relevant equations) it's apparent that blue light is scattered more than red light. But presumably this would hold for ##\theta = 0## as well but when we look at the sun head on we don't see blue, we see red/orange...
I have specific questions, but let's first give context.
Initially we have an electron with momentum ##p=(E, \vec p)## and spin state ##u_r (\vec p)## and a photon with momentum ##k=(\omega, \vec k)## and polarization state ##\epsilon_s (\vec k)##.
Finally we have ##p'=(E', \vec p')##, ##u_r'...
Hello, this problem is causing headaches, it would be very helpful if you could tell me if you know of a book where you can solve it. Maybe my English is lousy because I use a translator. Thank you very much.
I'm interested in a book which treats scattering in quantum mechanics aimed at the research-level. I'm particularly interested in a text which focuses on mathematical details such as the analytic structure of the S matrix, the relation between the S matrix and various green's/two-point...
In the following I will try to deduce the scattering amplitude for a specific interaction. My question is at the bottom, the entire rest is my reasoning to explain how I came to the results I present.
My working
Let's assume I would like to calculate the second order scattering amplitude in ##...
Was just wondering if there's anything special about the physics of Compton scattering where the incident photon has the same energy (512 keV) as the electron at rest. Then: $$1−cosθ_d=\frac{E_0ΔE}{Ei Er}=\frac{E_0(E_0−Er)}{E_0E_r}=\frac{E_0}{E_r}−1=\frac{λ_r}{λ_0}−1 $$ $$⇒\frac{1}{E_r}\propto...
a.) The potential is a delta function, so ##V \left( r \right) = \frac {\hbar^2} {2\mu} \gamma \delta \left(r-a \right)##, therefore ##V \left( r \right) = \frac {\hbar^2} {2\mu} \gamma ## at ##r=a##, and ##V \left( r \right) = 0## otherwise. I've tried a few different approaches:
1.) In...
I read the "J. Phys. Chem. B 2018, 122, 7616−7624" paper where they calculated the pair distribution function using wide-angle X-ray scattering and mentioned the term " The distances to the first coordination shell for low-, high-, and very-high-density amorphous ice (LDA, HDA, VHDA) were...
Hi all,
Currently given a problem to prove that the scattered photon is fixed at a constant value with only the condition that both angles from the photon and electron sum up to 90 degrees after the collision. I can't seem to prove it and listed my steps below, was wondering if anyone can...
The experimental observation of finding very few alpha particles scattered through large angles (>90) - I thought this would have inferred that the positive charge of the core of the atom (which we now come to know as the nuclei) must have been great in order greatly deflect alpha particles...
Hello! I am not sure I understand how neutron coherent scattering takes place. The case I am particularly talking about is neutron scattering off a hydrogen molecule. When thinking of Coulomb interaction, I would imagine this as if the incident particle (not a neutron, as the neutron doesn't...
Hallo guys,Im kinda confused about something and hope you can help me. Let me introduce you to it.
we take a look on one Mechanismen to the spin hall effect, skew scattering effect. i just read that you can see this contribution only in the clean Limit. So that's really strange for me cause...
as temperature rises in a MOSFET, are there tricks to prevent the Coulomb/phonon scattering? Or at least minimize it?
This is in reference to Fig 4 here:
https://pdfs.semanticscholar.org/f8a0/b9b7030f7201ef17c6ff66ec660fd75c7aae.pdf
The more overarching question is related to ring oscillators...
I'm reading through Thomson's "Modern Particle Physics", and I've gotten stuck at a point in the derivation of the form factor for electron scattering in a static potential due to an extended charge distribution. It's just a mathematical "trick" i don't quite get.
He goes from
$$\int\int...
a) I have $$d\sigma=-\beta sin(\theta)d(\theta)+2\gamma sin(\theta)cos(\theta) d\theta$$
and $$d \Omega=2\pi sin(\theta) d \theta$$
so $$\frac{d\sigma}{d \Omega}=-\frac{\beta}{2\pi}+2\gamma cos(\theta)=|f(\theta)|^2$$
b) $$\sigma(\theta)=\alpha+\beta cos(\theta)+\gamma...
I was reading that in inverse scattering approach, we divide the region of interest into discrete grids and size of each grid should be much smaller than the incident wavelength (usually smaller than one-tenth of wavelength).
By this logic, theoretically, I can use inverse electromagnetic...
What does it mean by induced source in multiple Electromagnetic scattering by large scatterer? While solving volume source integral to model multiple scattering by large scatterers, do we consider each discrete small region as induced dipole or a point source?
Why it is a rule that these small...
The sky is blue because the blue wavelength is rayleigh scattered.
Now let's take a glass of water you use for drinking. The ordinary reasoning is that water is not rayleigh scattered. But If water were to be scattered by all wavelength. How should the water look like? I just want to have an...
I have one problem with this question that I've been struggling with. Initially, the total energy should be given by E =m1* v0^2/2 (as U goes to zero, and m2 is at rest). However, if we write r = r1 - r2, we get E = mu*rdot^2/2 + U_eff(r), U_eff(r) also goes to 0, where mu is the reduced mass...
Homework Statement: Hi I am totally lost here, my answer matches with one of the choice but i think my reasoning is total bs please help me
Homework Equations: # 19
Hi everyone, does the scattering irradiance ratio between blue/red change with distance with Rayleigh scattering?
I would think that it would remain generally constant..