Scattering Definition and 820 Threads

Homework Statement Consider a blackbody contain atoms that typically produce photons with energy of about 7eV. Estimate the number of photon-electron collision each photon undergoes before it escape the object. Assume the blackbody has a temperature of 1000K. Homework Equations λ2 - λ1...

I apologize for not following the template, but it doesn't really fit. I would have posted it elsewhere but as it's for academic purposes I think it has to be here. Please excuse me if I'm wrong. I'm a high schooler working on a project, and I was planning to send ≈3 cm microwaves through an...

Homework Statement I need to give scattering amplitude f(θ) in Born approximation to the first order in the case of delta function scattering potential δ(r). The problem is in spherical coordinate and I'll give major equation concerned.Homework Equations The equation for scattering amplitude is...

I understand that in elastic scattering, the incident particle leaves the interaction with the same magnitude of momentum it had initially. But, can there also be a target particle recoil in this case? If the kinetic energy of the incident particle is conserved, how does the target particle...

Homework Statement Okay, so here's the problem: In a Compton scattering experiment, a photon is scattered through an angle of 90.0 and the electron is set into motion in a direction at an angle of 20.0 to the original direction of the photon. (a) Explain how this information is...

Hey all, Anyone know if there is a δt to Compton scattering or is it an instantaneous event, entertaining classical physics...billiard balls colliding in an elastic collision. Cheers

What is the difference between the two ? Maybe that in the photoelectric effect all of the energy of a photon is absorbed by the electrons ? Is that it ? In Compton scattering, only part of the energy is absorbed hence there is a photon of lower frequency emitted ! OR Maybe in the...

Homework Statement Determine the mass of the virtual photon in each of the lowest-order diagrams for Bhabha scattering (assume the electron and positron are at rest). What is its velocity? (Note that these answers would be impossible for real photons) Note: You can "just write down" the...

I am looking at a 1-d quantum system with a delta-potential barrier in the centre (at x = 0) and an infinitely high wall on one side of this barrier (at x = -a), while the system is open on the other side. So the potential V is equal to: V = κ\delta(x) at x = 0, κ being some constant and δ...

Homework Statement The scattering amplidtude, F, of a, by a crystal, diffracted beam is defined to be: (1) F=\sum{_\vec{G}}\int n_{\vec{G}}e^{i(\vec{G}-\delta\vec{k})\cdot \vec{r}}\mathrm{d}V The integral is over all the volumeelements, dV, of the crystal. n_{\vec{G}} is the local...

I have a very trivial question to ask and it would be great if someone could help me in this. The statement that '3-point amplitudes' and the location of poles are sufficient to determine any n-point amplitude at tree level is confusing to me. Don't I also need to know 4-point amlitudes, for...

If we were to consider a nucleon-nucleon interaction: We know that the incident wave (plane wave) is ψ= Ae^{ikz}, propagating in z direction But for some mathematical facilities, we tend to use spherical coordinates, the wave becomes = \frac{A}{2ik}[e^{ikr}/r - e^{-ikr}/r] How come...

hi All, We know from QM that black bodies at temperature T emits light in a well stabilished patern. Now what if the body has color? Which is the emission patern of a green snooker ball for example, at temperature T? When scattering white light we see this ball green because it absorbs...

Hello everyone I have been supplied with this eqn n=\frac{Nat}{16r^2}(\frac{2Ze^2}{4\pi\epsilon_0E_K})^2cosec^4(\frac{\phi}{2}) for Rutherford scattering. N is the number of alpha particles incident on a unit area of foil t is the thickness of the foil a is the number of atoms...

ee --->e+e+ scattering Homework Statement I have come across the following scattering : e-e- ---->e+e+ Does anyone know the name of this scattering ? Do you know of any book describing simililar lepton scatterings? Thank you Homework Equations The Attempt at a Solution

Hello, I am trying to understand the idea of using analytic continuation to find bound states in a scattering problem. What do the poles of the reflection coefficent have to do with bound states? In a problem that my quantum professor did in class (from a previous final), we looked at the 1D...

Why Thomson scattering calls for a "size-changing" electron? From my limited understanding of Thomson scattering, it only works for wavelengths comparable to the size of the electron. Because scattering was observed at a variety of wavelengths, it was assumed that the size of the electron must...

Hi, I can't seem to find any straightforward information on this. I know wave transmission does not change the incident wave's phase, and wave reflection shifts it by $\pi$ if the wave is reflected by a denser medium than the one it is in... But what happens to the phase when the wave undergoes...

I'm learning scattering theory from Griffiths' book, and I don't really understand the meaning of differential cross section; it's one of those things that I find hard to conceptualize and give a physical meaning to. The most intuitive description he gives is "the proportionality factor between...

Homework Statement In the Compton scattering, a photon of wavelength λ collides with an electron at rest, and a new photon of wavelength λ' emerges at an angle θ. Find λ' y θ. Energy of incident photon Ei = 1 MeV Energy of scattered electron Ee = 0.32 MeV Homework Equations E =...

Homework Statement The atmopshere allows all the colours of white light except the blue one and instead absorbs it. It is then scattered as blue light. However, I don't get why we would see it as blue. Won't the scattered light overlap all the other colours that were not refracted? So...

Homework Statement It is desired to study the low-lying excited states of 35Cl (1.219, 1.763, 2.646, 2.694, 3.003, 3.163 MeV) through the 32S (alpha,proton) reaction. a) With incident alpha particles of 5.000 MeV, which of these excited states can be reached? b) Again with 5.000 MeV incident...

Homework Statement I'm studying scattering from a rough surface, and my textbook defines h(x,y) as a small vertical deviation from a flat surface. Then they proceed calculations by assuming that the height difference between two points h(x,y)-h(x',y')=some f(x-x', y-y'), i.e. it depends only...

Hello again, My question is on determining the scattering amplitude via time-dependent perturbation theory (first-order) for a given potential - I believe the perturbation potential is modeled due to some interaction between two scalar particles and has form: \delta V=\lambda...

Homework Statement The problem is to get the classical turning point as a function of the impact parameter b for the Lennard-Jones potential. Homework Equations The Lennard-Jones potential is given as [itex]V(r)=4\epsilon[(\frac{\sigma}{r})^{12}-(\frac{\sigma}{r})^6][\itex]. The effective...

Homework Statement A certain crystal has a set of planes 0.33 nm apart. A beam of neutrons strikes the crystal at normal incidence and the first maximum of the diffraction pattern occurs at ∅= 38°. What is the de Broglie wavelength of the neutrons? Homework Equations nλ = Dsin∅ where D...

Hi everyone, Really struggling to find anything on the internet to solve this problem. I really thought it would be an easy plug and chug equation..but I can't find it anywhere. Basically, I was asked to find what the maximum and average energy of secondary electrons produced by 2 MeV...

So during neutron scattering in a crystal, a neutron can interact with 0, 1, or more phonons. First of all, what is the actual mechanism by which they interact? My textbook just kind of glosses over that. Second of all, when a neutron goes in it can absorb a phonon and come out with more...

I'm trying to learn scattering theory in quantum mechanics. and I'm trying to decide between Sakurai, Merzbacher and Landau. I heard good things about Landau's books but I never looked at them. any advice?

Homework Statement I'm taking a graduate level course in classical mechanics that uses Goldstein's book. We are currently discussing scattering in a central field in chapter 3. Here are two problems that might be very basic/standard scattering problems, yet I'm not how to proceed or get...

Homework Statement In Compton scattering,how much energy must the photon have in order for the scattered electron to achieve relativistic velocity? Homework Equations Compton scattering formula: $$λ'-λ=\frac{h}{mc}(1-cosθ)$$ ##E=\frac{h}{λ}##,conservation of mass and momentum,possibly...

Homework Statement X-ray photons of wavelength 0.02480 nm are incident on a target and the compton-scattered photons are observed at 90 degrees.(a) What is the wavelength of the scattered photons?(b) What is the momentum of the incident photon and scattered photon? (c) What is the kinetic...

Homework Statement Consider Compton scattering of a photon by a moving electron. Before the collision the photon has a wavelength λ and is moving in the positive x direction. The electron is moving in the negative x direction with a total energy E ( including rest energy mc^2). The photon and...

I have some basic doubts in the alpha ray scattering experiment by Rutherford and his students way back in 1909. 1.In the formula for the distance of the closest approach, the term velocity of the alpha particle and the charge of the gold nucleus appears. How did they measure the velocity of...

In field theory: [H,P]=0 So shouldn't that mean there can be no scattering? If you have momentum state |p1p2> then it is an eigenvalue of P with eigenvalue p1+p2. But it should be a simultaneous eigenstate of H too, so e^(-iHt)|p1p2>= |p1p2> up to a phase factor. But in general...

Hi everyone, I'm trying to get my head around scattering still. The books I've been looking at derive it, but then kind of skip some steps when they actually do problems with it. This is long but I'd really love it if someone could help me understand! From what I can tell, this seems to be the...

Hi, I'm reading about the partial wave expansion in Shankar. In his method, we expand the incident plane wave (he chooses it such that it's coming in along the z axis, and using spherical coordinates) using the Legendre polynomials: e^{ikr cos(\theta)} = \sum _{l = 0} ^\infty i^l (2l + 1)...

Hi,everyone!I have a problem!As known to us all,in Rutherford scattering experiment α rays are used to bomb gold foil, and most of them pass through the gold foil.But today I read something about the characteristics of α particles,the book says that you can stop α rays with a piece of paper...

Hi, Those of you familar with dynamic light scattering (DLS), will know that a common method used to obtain a particle size distribution is via a laplace inversion of the autocorrelation function. What I want to know is why? What does Laplace space have to do with DLS (I've only learned...

Homework Statement By extrapolating the Fricdmann equations back in time, they discovered that the energy density of this radiation field must have initially considerably exceeded that of matter (as defined by E = mc^2). Radiation density is the amount of energy in a given volume of space...

Homework Statement Take the case of elastic scattering (A+B -> A+B); if particle A carries energy EA', and scatters at an angle θ, in the CM (center of mass/momentum frame), what is its energy in the Breit* frame? Find the velocity of the Breit frame (magnitude and direction) relative to the...

I am trying to understand why radio waves are not greatly attenuated by the atmosphere due to scattering or absorption? I have tried searching the internet and can't find any satisfactory answers. Please help. Oh and does this property somehow relate to why they are used to transmit information...

Elastic scattering from a bound electron is classically described by considering the driven, damped harmonic oscillator model for the motion of a bound electron in a classical em-wave. The (non-relativistic) equation of motion is written as...

To calculate the intensity of the scattered radiation from a crystal after irradiating with X-rays, one can add up all electromagnetic fields of the oscillating electrons (calculated using the Liénard–Wiechert potential). Taking the time-average of the norm of the Poynting vector of the...

a basic problem but i have no idea how to measure it

Inelastic scattering of Xray photons from electrons give them a wavelength shift, the Compton effect. The shift is inverse proportional with the mass of the electron. Now, if visible light scatters inelastic from electrons in graphene what will be the wavelength shift? The electrons in graphene...

I was studying Rayleigh Scattering. The theory says that Rayleigh Scattering is approximated to x<<1 where x=(2*pi*r)/lambda where r is the radius of the particle scattering light and lambda is relative scattering wavelength of light. lambda = wavelength of light / refractive index of...

I understand that in photoelectric effect, the energy of the whole photon is absorbed, freeing an electron. I don't understand why in the case of Compton scattering, the higher energy photon lost part of its energy instead of transferring the whole of its energy to the electron as in...

What is the difference between Raman scattering and fluorescence emission?

I've been reading a few books on scattering of light from particles, in particular mie scattering of cylinders. At first I want to look at infinite cylinders, then finite cylinders once I understand a bit better. The problem is that all of the books I've looked at treat the problem where...