One of the postulates of quantum mechanics, as quoted in any textbook on the subject, is something like the following: "states are vectors in a Hilbert space."
But then they go on to solve the problem of the free particle, which should (I guess) be about the simplest problem one can solve...
Hi,
When two particles collide in the centre of mass frame, they interact and then scatter. Am I right in thinking that the resultant scattering angles are completely arbitrary? If so is this a case of an effect with no cause? Just hoping someone can clear this up for me.
Many thanks!
I use some computational codes.I must to enter Pn scattering order for some materials.What means that? For example what is difference betwen P1,P2,P3 order?
I have spent lot of time trying to understand scattering from Goldstein but in vain. The general equation of an orbit is,
1/r = K[1 + e*cos(θ - θ')] where e=eccentricity
I refer to a sentence in goldstein which says, if θ'=pi then θ = 0 corresponds to the periapsis. What is θ'...
Homework Statement
start with the wave function
\Psi(x,0) = Ae^{-cx^{2}}e^{ikx}
where A,c, and k are real constants (and c is positive)
i) Normalize \Psi(x,0)
ii) Determine \Psi(x,t) and |\Psi(x,t)|^{2}
Homework Equations
The Attempt at a Solution
I normalized it to get...
Homework Statement
Gamma rays of energy 1.02 MeV are scattered from electrons that are initially at rest. If the
scattering is symmetric, that is, if θ = ϕ in Fig. 1, find
i. the scattering angle θ
ii. the energy of the scattered photons.
Homework Equations
λ' - λ = (h/mc)[1 - cos(θ)]
The...
Hi, so I am trying to build a cell counting apparatus using light scattering. The setup is a (green) laser shining through a clear bottle full of (Dicty) cells suspended in a stirred solution. The idea is to put a photodetector at some angle by the bottle; a greater cell density should result in...
Hi,
I was wondering if someone could explain, in their own (simple) words, what the scattering spectrum of a nanomaterial is. For example, suppose we have a chain of several spherical nanoparticle. How would you interpret this graph...
from what I know: cross section in particles physics can be seen as throwing random darts on ballons on a wall, ie the wall is stationary.
but if I want to work out the cross section of two laser beams at certain angles, the analogy above wouldn't hold would it? Since photons can never to...
Hi, before I start this is not coursework or any work attached to my degree but part of an internship at a neutron research facility at a level appropriate for Masters students and higer, so I felt it necessary to post it here rather than the homework section (sorry if I'm mistaken). I've been...
Take the scattering of photon and electron as example, we first figure out the amptitude for transition definte polarization,
say f(ϵα(k),ϵα′(k′))
If the initial photon is unpolarized and the final polarization is not observed, we need to average the initial polarization and sum over the...
This is an assignment I'm doing that is due next month but I would like to make an early start because I find most of the materials in this assignment unfamiliar.
The whole questions is composed of 5 parts, most of them I have a rough idea of but there are some bits and pieces I don't really...
Hi all.
I am looking for an excellent textbook to be familiar with Quantum Physics and especially quantom scattering theory. Honestly my background is on the engineering part of Electromagnetic waves and I am seeking some explanations about Quantum theory.
I appreciate ur attention in advance.
I observed a strange phenomenon the other day which led me to ask this question.
I was in Bahamas on a cruise, where it is very bright. This might have enhanced an otherwise more subtle effect.
(OK, get the drinking jokes out of your system now... :-p)
I was outside, right next to the...
Hello
I actually wanted to posted this in the "Homework" section but it is currently working for me..
The problem is:
Calculate the cross-section for the scattering of a 10 MeV alpha particle by a gold nucleus _{79}^{197}Au through an angle greater than (a) 10 degrees (b) 20 degrees c...
Homework Statement
Gamma rays of energy 1.02MeV are scattered from electrons which are initially at rest. Find the angle for symmetric scattering at this energy. What is the energy of the scattered photon from this case?
Homework Equations
\Delta \lambda = 0.0243A (1 - cos \theta )...
Hey...i'm studying the reaction neutrino+antineutrino -> W(+) + W(-)
but i don't understand which are the relevant f. diagrams at first order (semiclassic approximation). Does anyone know which are?
thank you
Homework Statement
I'm working through the derivation of the Compton scattering crossection and I'm getting stuck partway through. More details below:
Homework Equations
The Attempt at a Solution
So, I'm following along with Zee section II.8.
We have two diagrams that contribute to order...
Hey,
I am looking at the coupling hamiltonian for electrons in an EM field. In particular I'm interested in the inelastic scattering (this isn't the dominant part for inelastic scattering but it's confusing me).
The part of the hamiltonian in the time/space domain that I'm interested in is...
I'm trying to understand how the polarization of an incident laser, (280.5 nm YAG in this case horizontally polarized) effects Vibrational Raman Scattering. Consider this laser incident on atmosphereic lab air (I'm seeing N2 and O2 stokes lines shifted to about 300nm) with a CCD lense's line of...
Hi guys,
i know that there are Feynman diagrams in condensed matter around. As far as i understood it they are used to calculate Green's functions but as we all know from qft Feynman diagrams can also be used to calculated scattering amplitudes...so, i wonder if there is a book around with...
Hi !
Sorry for a naive question from a biologist. I am making proteoliposomes within which a fluorescent probe, pyranine (lex = 455 nm, lem = 509 nm), has been trapped. I try to quality control my preparations using DLS (Dynapro, Proteinsolutions) and my concern is that whatever the...
Does the absorption cross section to scattering cross section ratio of an isotope vary with neutron energy or stay constant?
I have heard that cross sections in general are inversely proportional to velocity (eg the fission cross section of U235 is about 1000 times higher for thermal neutrons...
Dose anybody know that is there any book whose content of scattering theory resembles that of Sakurai's and which is easy to follow.
Thanks in advance.
I learned something about mie scattering in another thread. But I'm still perplexed, as what makes it different from scattering by air molecules (called Rayleigh scattering). But why doesn't the pattern cause polarization of light?
I heard from a lecture by Walter Lewin that the sky is blue because the chance of a photon of λ wavelength scattering is 1 / λ4 and blue's higher wavelength gives it a higher chance of scattering than red, making there more blue in the sky than red. This explanation might be incomplete, but this...
A single particle can behave like its interfering with itself by means of the following explanation (is it true or can you refute it?):
Ballentine wrote in his 1970 paper "Statistical Interpretations of Quantum Mechanics":
"As in any scattering experiment, quantum theory predicts the...
I initially would say Mie like "my/pie", but my advisor corrected me and said it was "Me". Yet, someone told me that is wrong and it is "my/pie".
Is there any authority or unanimous agreement on its pronunciation somewhere?
Hi!
I'm trying to derive the cross section of the bhabha scattering:
\frac{d\sigma}{d\Omega}=\frac{e^4}{32\pi ^2 E^2_{cm}}\left[ \frac{1+cos^4\frac{\theta}{2}}{sin^4\frac{\theta}{2}}-\frac{2cos^4\frac{\theta}{2}}{sin^2\frac{\theta}{2}}+\frac{1+cos^2 \theta}{2}\right]
I'm using the "toy...
Homework Statement
What is the Bragg Scattering angle (i.e. the angle, in degrees, between the incoming incident beam and the reflected beam) for electrons scattered from a nickel crystal if their energy is 63 eV? The spacing between Ni Bragg planes is 0.215 nm. Give your result to 3...
Hey guys,
I have some questions about deep inelastic scattering. I have read a bit about it, but don't really understand the theroy behind it. I know that it is a method to be able to study quarks inside, example with an electron hitting a proton target one can be able to study the quarks of...
I don't understand why in Bhabha scattering (e+ e- -> e+ e-) why there are only two leading order Feynman diagrams. It seems to me like there should be s, t, and u-channel diagrams. Could someone explain why I am wrong?
Hey all,
This might seem like a strange/silly question but just humour me if you could...
Is there any a-priori reason why a scattering phase shift should be linear in energy (energy of the incoming particle at infinity)? Are there examples of such shifts that have a different energy...
what is happening when you look at an object up close in sunlight and see a spectrum of different colors that appear as "dots"? I noticed this happens with most objects and the "dots" seem to change colors with different angles of incidence. can someone please explain what is going on?
Hi,
In electron, neutron or photon diffraction from an atom,what does it mean when we say the waves scatter elastically from the atoms? What is an elastic scattering?
Thanks,
Homework Statement
I'm having difficulty with part C of this question:
Homework Equations
The Attempt at a Solution
Using the above equations I correctly calculated the new wavelength of the photon after the collision and using the equations for the photon energies I...
"Scattering" by a potential
When we have an unbound particle traveling past a potential well, what does it mean when it is said that the potential well will "scatter" the particle?
Homework Statement
Complete this sentence. When doing Bragg scattering of x-rays off of NaCl, the first order K-Alpha peak has an energy that is ___________ the energy of the second order K-Alpha peak.
Known Information
It is known that the Intensity of the K-Alpha is greater than the K-Beta...
Homework Statement
A thin haze layer overlies the ground and is composed of hydrated aerosols of 0.2 micron (µm) diameter. It scatters 50% of sunlight incident upon it when the sun is directly overhead.
a) What is the visible scattering optical depth of the layer?
Homework...
Homework Statement
An electron initially at rest is scattered by a photon.
a) Which scattering angle corresponds to the largest Compton shift and why?
b) At what minimum photon energy can half of the photon energy be transferred onto the electron?Homework Equations
\Delta \lambda = \lambda_2 -...
according to wiki's rutherford scattering experiment,
"The fraction of particles that is scattered into a particular solid angle at a given direction relative to the incoming beam is called the differential cross section and is given by...
Howdy,
I'm a computer programmer by trade, but I've got a project I'm working on for fun and could use some help with some of the physics details.
I'm trying to get an algorithm that models the intensity 'I' of a monochromatic light at some distance 'd' from the source where there is a...
Hi
I am trying to find information about the polarization state of a photon after it has been compton scattered.
The photon is initially linearly polarized, has a known incoming energy, scattering angle and released energy.
Say we ave incoming propagation along the z axis and E field...
A very simple question, but needs to know proper explanation. Why the neutron scattering from hydrogen is negative while deuterium and almost all other atom has positive scattering?
Homework Statement
I have a (numerically calculated) cross section for a neutron scattering from a nucleus which looks like:
1) Am I correct in saying that there are three resonant peaks and these correspond to three different resonant particles?
2) If so, are the lifetimes of the...
Homework Statement
I'm asked to draw a Feynman diagram for two neutrinos scattering from each other.
Homework Equations
None
The Attempt at a Solution
I don't really get the question so I don't know what I'm actually supposed to put in the diagram. Am I supposed to draw a diagram...