[Mentor's note: This thread does not use the template because it started in one of the non-homework forums. I moved it here instead of deleting it and asking the poster to repost here, because it had accumulated several useful replies.]
Hi.
I have the exact same problem that ZachWeiner had in...
I have a couple of simple questions:
- wiki says (http://en.wikipedia.org/wiki/Compton_scattering) that it " is an example of inelastic scattering". Is that true?, isn't all energy lost by the photon absorbed by the electron?
- is the electron really at rest? doesn't his energy/momentum...
Homework Statement
An X-ray source of wavelength gamma is directed at a sample; determine the maximum speed of scattered electrons.Homework Equations
KE=(\gamma-1)mc2=hc/\lambda - hc/\lambda'
The Attempt at a Solution
I've been provided with the solution using the formula above, however it...
Homework Statement
Photon with ##\lambda =10^{-12} m## hits an electron (Compton scattering). After the interaction the photon and electron move under relative angle of 90°. Calculate the kinetic energy of electron. Hint: First find the relation between ##\theta ## and ##\varphi##. (##\theta...
This is killing me; not sure if I'm over-complicating or under-complicating it. I’m trying to understand if there is any difference between acoustic scattering and diffusion, and how that differs from attenuation. When particles collide, a small amount of heat is created, since the collision...
Homework Statement
I'm trying to work out the derivation of the the Rutherford scattering trajectory. I understand the conservation of linear momentum, and that the only force acting is the coulomb force between the incoming particle and the target nucleus. Early on in the derivation I'm...
Homework Statement
We want to fin an expression for \theta, the Rutherford scattering angle.
I have an expression that I derived for a hyperbolic trajectory, of the form \frac{(x+x_0)^2}{A^2}-\frac{y^2}{B^2} = 1. We wanted it in terms of α, ε, where α is a constant ( \alpha =...
term “scattering” more of a general process
Is the term “scattering” more of a general process which incorporates the linear effects of reflection, refraction and diffraction?
Greetings,
I think this will be a very quick thread. I am new to using Feynman diagrams, and have run into something that I find puzzling. The lowest-order Coulomb interaction Feynman diagram is (image from Wikipedia Moller Scattering article)...
After looking at Umklapp scattering, I believe I have finally gotten most of it down, but a few things are still not clear.
1) Momentum is not conserved for certain phonon collisions, and a certain number of reciprocal lattice vectors are transferred to the crystal lattice...
I am currently redaing Goldstein's Classical Mechanics (3rd ed. 2002, with Poole and Safko). The sections 3.10-11 deal with scattering, of the type originally studied by Rutherford, and which led him to formulate his "planetary system" atom model.
Rutherford fired a beam of positively charged...
Inelastic scattering is the scattering event in which heat is produced. But we know that heat is also due to particles' vibration. Therefore when the vibration is made in target by incident particle, the target would vibrate (in other words, phonons or heat are produced). Thus heat is a type of...
Homework Statement
I'm working with the Yukawa theory, where the interaction term in the Lagrangian density is g\varphi\overline{\psi}\psi. As an exercise for getting used to using the Feynman rules for the theory, I'm asked to show explicitly (i.e. I'm not allowed to invoke charge...
Hi! I am extremely confused on what seems to be quite a simple question. The question contains a graph of root mean square radius <r^{2}> plotted against A^{1/3} where A is the nucleon number. In the lecture notes he specifies that <r^{2}> is not the same as R but does not really say...
Homework Statement
Infrared telescopes, which use special infrared detectors, are able to peer farther into star-forming regions of the galaxy because infrared light is not scattered as strongly as is visible light by the tenuous clouds of hydrogen gas from which new stars are created...
Our condition for scattering is based on the idea that the amplitude of the outcoming wave is maximal, when all atoms contribute to a constructive interference. By using the attached drawing a simple relationship between the phase change of the two beams are derived. But my, maybe stupid...
Bee Hossenfelder has proposed a new approach to QG phenomenology, involving new ways to look for signs that space-time arises from a fundamentally non-geometric theory.
The basic hypothesis is that if what looks like a geometric continuum actually arose from myriad nongeometric entities then...
Hi,
I am slightly confused regarding the termenology elastic and inelastic. My focus is on the interactions, Rayleigh, photoelectric, comptonscattering and pair production. I have read around the internet and have some question I did not fully got answered.
1) Is Elastic = Coherent and...
Hi All,
Following on from the last dumb question I asked...
Suppose you calculate the tree-level approximation to the elastic scattering of two charged fermions
to find that the result varies as ##\sim 1/t##, where t is the Mandelstam variable describing the squared momentum transfer in...
Hello All.
I'm currently in a crash course on X-ray Diffraction and Scattering Theory, and I've reached a point where I have to learn about Bessel Functions, and how they can be used as solutions to integrals of certain functions which have no solution. Or at least, that's as much as I...
Homework Statement
In a Compton scattering experiment, a photon is scattered through an angle of 90.0deg, and the electron is scattered through an angle of 21.4deg. Determine the wavelength of the scattered photon
Homework Equations
Conservation of momentum and energy. p = h/lambda, E =...
Hello. I'm reviewing background information on Raman scattering and I've noticed that the polarizability scales with v+1 for Stokes transitions and v for anti-Stokes. Why is this and what assumptions are used in the derivation? An explanation or pointing me to a good reference would be...
I've been reading Coleman's notes and the book on QFT by Ticciati. There they both place a lot of emphasis on computing the scattering matrix S. I can follow their computations (using Wick's theorem etc.) but I don't really have a good understanding of what S actually tells you. Ticciati even...
Homework Statement
Incomming photon gives half of its energy to an electron during scatering. After scattering, photon is headed ##\phi=120^\circ## according to the original direction. What is the ##\lambda## of the incomming photon?
Homework Equations
\begin{align}
\Delta \lambda &=...
Homework Statement
The length of the photon waves which are under Compton scattering ( compton scattering is applied on them) is measured in the angle =90 degree.If ΔΛ/Λ is 1.5 %,what is the length of the waves of the falling photons?
Homework Equations
The Attempt at a Solution...
Hi there, I'm learning about solitons and chanced upon this pdf talking about the inverse scattering method. However, I'm stuck trying to derive the coefficients using the LAX method (pg 5 of the attached pdf or from http://arxiv.org/pdf/0905.4746.pdf). Hope that someone can help shed some light...
Hi All,
So the photoelectric effect is the phenomenon where an orbital electron fully absorbs an incoming photon (assuming the energy of the photon is greater than the binding energy of the electron) and is ejected from its shell. The electron can then undergo its own interactions in the...
Provide one of the following answers: PE,CS, BOTH, OR NEITHER.
PE if the statement applies only to Photoelectric Effect.
CS if the statement applies only to Compton Scattering
BOTH if the statement applies only to both the Photoelectric Effect and Compton Scattering.
NEITHER if the...
Hello.
I am currently studying scattering theory in detail for my BSc thesis, and I'm starting with Rayleigh scattering. I'm following Scattering of electromagnetic waves: theories and applications by L Tsang, J A Kong and K-H Ding, which is pretty much what I like in a science textbook...
I have been watching Susskind's lectures on Cosmology which are great. There is something that I can't wrap my head around.
I know that if we look far away enough into the past (about 100,000 years after the big bang I think he said) , the radiation that is being emitted comes from plasma and...
first question, would there be more rayleigh scattering on neon gas vs air?
im wondering if you have a tube of neon gas, and shine a laser through it, will the laser beam become visible? as opposed to shining a laser pointer around and only seeing the dot.
Homework Statement
Asked to calculate the relativistic correction, to the differential scattering cross section which is given by the equation below in terms of E, E0 and θ where E0= .511 MeV.
with 100MeV electrons from an Au nuclei at certain angles θ.
Homework Equations
Relativistic...
Has anyone read or seen any articles that might highlight the techniques of Stimulated Raman Scattering Spectroscopy? Or just any knowledge on the process they would be able to share? I am having a tough time getting a hold on the process and if anyone has any useful information or articles that...
I've got a question that asks what the maximum scattering angle in \nu_\mu e \rightarrow \nu_\mu e is. The electron is stationary in the lab frame and after the collision has E >> m_e.
The answer given is
\sqrt{\frac{2 m_e}{E_e}},
independent of the neutrino's energy. How can I get...
Homework Statement
What relations can you derive from isospin conservation for the cross sections of the following scattering processes:
K^{+} + p → K^{+} + p
K^{+} + n → K^{0} + p
K^{0} + n → K^{0} + n
The Attempt at a Solution
I do not really have my own solution as I've...
Homework Statement
Show that, for low energy photons scattered by ultrarelativistic electrons, the cange in frequency of the photon is given by
(v'-v) / v = [(Ω'-Ω).β] / [1-Ω'.β]
Homework Equations
The full/general form of Compton scattering is given by
v'/v = (1-Ω.β) /...
Homework Statement
Consider the spherical well such that V(r<a) = -V0 and V(r≥a) = 0. Calculate the l = 0 partial wave scattering cross section in the low energy limit for this potential.
Homework Equations
σ = \frac{4 \pi}{k^2} * \Sigma (2l+1)*sin^2(\delta_l)
The Attempt at a...
Hi Guys,
I am doing a bit of work with dynamic light scattering (DLS) data. It is one of the many areas of science where we encounter an inverse problem.
The forward problem is: For a known sized particle, calculate its scattered spectrum (that is easy). The inverse problem is: from the...
Homework Statement
Use the boundary conditions to show that
\frac{A+B}{A-B}=\frac{k_1}{k_2}\frac{C+D}{C-D}=\frac{k^2_1}{k^2_2}
Homework Equations
A+B=C+D and k_{1}A- k_{1}B = k_{2}C- k_{2}D
C e^{i k_{2}L}+D e^{- ik_{2}L} = F e^{i k_{1}L} and k_{2}C e^{ ik_{2}L}- k_{2}D e^{-i...
Homework Statement
A two-dimensional rectangular crystal has a unit cell with sides a 6.28Å and
b 3.14Å. A beam of monochromatic neutrons of wavelength 5.0 Å is used to
examine the crystal.
Using either the Laue condition for diffraction or Bragg's Law, determine
whether it would be...
Well I am sure this is a lame question, but I am stuck over it for hours. I'm working on Bjorken, Drell book, and I'm trying to calculate the extreme relativistic differential cross section for electron-positron scattering.
Well, I have evaluated the cross section up to my attachment's...
Homework Statement
Given that the scattering amplitude off of a single atom is f_{1}(\vec{q}), find the scattering amplitude for 1) four atoms each placed in the corner of a square of length a, and 2) two atoms a distance d apart
Homework Equations
The total scattering amplitude can...
Hi all!
I have been told that if an unpolarized photon hits an electron in a Thomson scattering the outcoming photon will be polarized because of the electron's spin. I didn't understand what it means, nor do I get how an electron reacts to an unpolarized photon: in Classical Electrodynamics...
I'm testing my faith in the photon. I understand that energy levels are quantized, and I understand that the EM field carries momentum. I want to make sure the idea of a photon is necessary to intuitively understand the observations.
I am focused on compton scattering of a photon and an...
Hello PF people,
Homework Statement
In a Compton scattering event, after the collision, the Photon has an energy of 0.12 MeV
and the Electron has an energy of 0.04 MeV. Find the following:
i) The Wavelength of the photon before the collision.
ii) The scattering angle for the photon...
I was reading Wikipedia article on Rayleigh scattering and came upon this:
"...the major constituent of the atmosphere, nitrogen, has a Rayleigh cross section of 5.1×10^(−31) m^2 at a wavelength of 532 nm (green light). This means that at atmospheric pressure, about a fraction 10^(−5) of...
Consider a plane sound wave (\varphi^i) incident up on a solid object . The object will scatter this incident wave. Let this scattered wave pass through an interface separating two different fluids (say with sound speeds c1 and c2). Now at the interface, is the scattered velocity potential...
Homework Statement
A photon carrying energy of 40keV scatters from an electron initially at rest. what is the maximum energy the electron can have?
Homework Equations
The Attempt at a Solution
I tried using conservation of energy
Initial: 40keV (energy of photon) + mc^2...
I'm looking at scattering theory and eventually the Born approximation... In the notes I am reading it says we want to solve the Schrodinger equation written in the form:
##\left(\nabla ^2+k^2\right)\psi =V \psi##
Of which there are two solutions, the homogeneous solution which tends to...