Gamma Definition and 714 Threads

Homework Statement A radioactive source which is known to emit gamma rays only at a single energy is placed in front of a gamma ray detector. The gamma ray pulse height spectrum shows three distinct pulse heights of 7.38,6.49 and 5.60 volts. What is the energy of the gamma ray? The Attempt...

Generally, Gamma matrices with one lower and one upper indices could be constructed based on the Clifford algebra. \begin{equation} \gamma^{i}\gamma^{j}+\gamma^{j}\gamma^{i}=2h^{ij}, \end{equation} My question is how to generally construct gamma matrices with two lower indices. There...

Homework Statement Just a matter of convention (question) Homework Equations \gamma^0 = \begin{pmatrix} 1 & 0 & 0 & 0 \\0 & 1 & 0 & 0 \\0 & 0 & -1 & 0 \\0 & 0 & 0 & -1 \end{pmatrix} The Attempt at a Solution If then, \gamma^0 = \begin{pmatrix} 1 & 0 & 0 & 0 \\0 & 1 & 0 & 0...

Homework Statement The absolute value of the gamma function \Gamma (x) that is defined on the negative real axis tends to zero as x \to - \infty . Right? But how do I prove it? Homework Equations The Attempt at a Solution I've tried to use Gauss's Formula...

Homework Statement Solve the equation. What is it's trace?Homework Equations k γμ γ5 o γ\nu γ5 The Attempt at a Solution I don't think this is reduced enough. γμkμγ5γ\nuo\nuγ\nuγ5 trace: just got rid of gamma5 with anticommutation. -Tr[γμkμγ\nuo\nuγ\nu]

\pi = \frac{\partial \mathcal{L}}{\partial \dot{q}} = i \hbar \gamma^0 How do I expand i\hbar \gamma^0 the matrix in this term, I am a bit lost. All the help would be appreciated!

Or light rays for that matter. Where does the window open in the atmosphere on the em spectrum, UV? Why is that?

Homework Statement I need help to expand some matrices Homework Equations \pi = \frac{\partial \mathcal{L}}{\partial \dot{q}} = i \hbar \gamma^0 The Attempt at a Solution How do I expand i\hbar \gamma^0 the matrix in this term, I am a bit lost. All the help would be...

Can anyone help me in proving the following identity: (\gamma ^{\mu} )^T = \gamma ^0 \gamma ^{\mu} \gamma ^0 I understand that one can proceed by proving it say in standard representation and then proving that it's invariant under unitary transformations. this last thing is the one...

Homework Statement Using Euler's Gamma and a proper substitution prove the relation above: \int_0^1 1/x^x=\sum_{n=1}^\infty 1/n^n Homework Equations How to resolve this XD? The Attempt at a Solution

Hi I'm trying to figure out the proof of why the gamma matrices are traceless. I found a proof at wikipedia under 'trace identities' here http://en.wikipedia.org/wiki/Gamma_matrices (it's the 0'th identity) and from the clifford algebra relation \{\gamma^\mu, \gamma^\nu\} = 2\eta^{\mu \nu}...

Hi! I'm reading David Tong's notes on QFT and I'm now reading on the chapter on the dirac equation http://www.damtp.cam.ac.uk/user/tong/qft/four.pdf and I stumbled across a statement where he claims that (\gamma^0)^2 = 1 \ \ \Rightarrow \text{real eigenvalues} while (\gamma^i)^2 = -1 \...

Homework Statement I have to figure how many beta particles are released and how much energy is released as gamma rays in the complete decay of 1000 atoms of (12/5) Boron. Homework Equations Mass of one boron atom is 10.811 g. I think we may be able to use E = mc^2 somehow but I'm not sure...

Making it short : Do gamma rays ALWAYS accompany a nuclear reaction?? I was thinking, since there are only three types of radioactive decay, alpha, beta and gamma. I don't quite understand how gamma radiation will always occur. Isn't it going to be just ONE of the three types? /Help :)

Homework Statement A beam of gamma rays of energy 1.00 MeV are aimed at a set of freely moving gold particles. The gamma rays reflected back have an energy of 0.2035 MeV. How is this result consistent with the model of a gamma ray reflecting from an isolated electron initially at rest...

I was in my AP Physics class discussing wavelengths of the electromagnetic spectrum and I came up with the idea to attempt a gamma ray microscope. Of course this is extremely dangerous, so I will have to be cautious (and use a lot of lead). Is there a way to produce gamma rays? I know they...

Homework Statement A detector is used to count the number of gamma rays from a radioactive source if the number of counts is 10000 in exactly 20 secs then what is the error in counting rate per sec? Homework Equations- no idea. The Attempt at a Solution- As per our syllabus we...

Analyzing an integral over a non-exact region for gamma defined by |x|+|y|=4 The following was similar to a problem on a calculus final that I got wrong. It is an extension of a problem in R.C. Buck "Advanced Calculus" on page 501. Similar to knowing the trick to integrating e^{|x|} (which...

I have had a great deal of trouble finding sources that are specific as to how exactly radiation damages the body, it usually just says what damage radiation causes but not how it causes it, so I have compiled what I have found and I want to know if it is accurate and to fill in sequence of...

130 GeV gamma line--new physics? DM-detectivework--Lisanti videos An interesting cluster of new topics come out in two August 2012 PIRSA video talks by Mariangela Lisanti. http://pirsa.org/12080010 Illuminating the 130 GeV Gamma Line with Continuum Photons Speaker(s): Mariangela Lisanti...

Hello, I am trying to simulate the gammas from certain radioactive decays but I am really puzzle as to how to approach this. The site I'm using as a reference lists the intensities of the different gammas corresponding to an specific decay. The thing that confuses me is that, for example...

Hello all, I must to calculate radiation debit gamma doses (mSv/h ) in concordance with some important radioisotopes (i.e I-131, Xe, Br,Kr ) received at Whole body Some organs Knowing radioisotopes radioactivity in Curie Thank you for advices

I know that gamma rays are a part of the electromagnetic spectrum and that they are also a type of nuclear radiation, created upon the decaying of a large, unstable nucleus. Is there any difference between these 2 definitions of gamma radiation? Is gamma radiation only created in the way...

Hi, fellow physicists (to be). This is my first post on the forum, so I hope I get it right. If not so, please let me know :) introduction to the problem At the moment I am working on my physics bachelor's thesis at the theoretical department of my university (Amsterdam). My thesis focusses...

I know we can contain the energy/plasma from a fussion reaction with an electromagnetic field, but would an EMF protect from gamma rays? Would it be possible to deflect a nuclear blast with a powerful enough EMF?

Now, I already know the complement formula and I also know a proof that can be presented using the Euler product forms of the Gamma function. What I am curious about is, can one obtain the formula using the integral forms of the Gamma and Beta functions? I will show my work so far. I started...

Hi, I am trying to solve the integral of the Inverse Gamma Distribution. Does this equate to 1 as it is a pdf? Thanks

Can someone help me to expand the following gamma functions around the pole ε, at fisrt order in ε \Gamma[(1/2) \pm (ε/2)] where ε= d-4

I'm interested in calculating how much power (in Watts) could be produced (assuming a 100% conversion efficiency between Gamma Rays and electrical power) from gamma decay of a 60 Co -> 60 Ni. How long would this reaction last? Just a few seconds or longer? Are there any decays that last for a...

In the hunt for antimatter galaxies, the tools that we are currently using look for gamma rays that would be emitted due to annihilation events, because everything else about these galaxies is predicted to be the same emission-wise. The hypothesis is that these annihilation events would occur...

Hello to the community! My question is really silly, i really don't know much of physics and radiation thing, but as i was watching the Hulk movie, Bruce got affected by radiation gamma and he became that big humanoid thing who called Hulk, my question is, what can radiation gamma really do...

So, if my understanding of GRBs is correct, they are a collimated jet of material that produces a lot of gamma rays. So my question is, don't these have to be pointing right at us for us to see them? If so, then why do we see so many? I think it's at around at least one per day, the last time...

I need to question that what does radio isotopes emits?Alpha,Beta,Gamma or all particles?

Hi, I'm a new member in the forum. I own two similar GM military grade meters with calibration certificates, calibrated for gamma-rays metering and each one has two tubes filled with helium, argon (or neon), halogen (or quenching) gases. When I am exposed to some radiation source, my GM meter...

I am completing an assignment that is covering alpha, beta, and gamma decay. I am going to try and keep this as general as possible, as I want to figure this out myself but I just looking for feedback to make sure I am on the right track. I noticed that after alpha decay, the mass of the...

The Reference Frame: A confirmation of the 130 GeV dark matter-like bump - Lubos Motl [1204.2797] A Tentative Gamma-Ray Line from Dark Matter Annihilation at the Fermi Large Area Telescope - Christoph Weniger [1205.1045] Fermi 130 GeV gamma-ray excess and dark matter annihilation in...

PROBLEM: One mole of an ideal monatomic gas initially at 300 K (T1) and a pressure of 15.0 atm (P1) expands to a final pressure of 1.00 atm (P2). The expansion occurs via an adiabatic and reversible path. Calculate q, w, ΔU, and ΔH. SOLUTION: q = 0 (adiabatic; no heat exchange occurs)...

instead of the bipolar explosion

Okay, so this may be a little bit of a trivial question, but I've read conflicting information and found myself confused as a result. I've read from several sources (wikipedia, books) that GRB's are the most luminous events known to occur in our universe. However, I've also read that...

prove that μ=αθ and σ^2=αθ^2 μ = E(X) ...= ∫(x = 0 to ∞) x *(1/(θ^α Γ(α))) x^(α-1) e^(-x/θ) dx ...= (1/(θ^α Γ(α))) ∫(x = 0 to ∞) x^α e^(-x/θ) dx ...= (1/(θ^α Γ(α))) ∫(t = 0 to ∞) (tθ)^α e^(-t) * (θ dt), letting t = x/θ ...= (θ/Γ(α)) ∫(t = 0 to ∞) t^α e^(-t) dt ...= (θ/Γ(α)) Γ(α+1)...

Homework Statement prove that, for gamma distribution μ=αθ σ^2=αθ^2 for exponential distribution μ=θ σ^2=θ^2

Homework Statement Show that the Lorentz gamma factor in the decay K^+ \rightarrow l^+ \nu_l can be written as \gamma = \frac{m_K^2 + m_l^2}{2m_K m_l} where nu is either e or mu. The Attempt at a Solution I'm stuck on a part of the proof. I think I understand most of it...

Feynman Diagram: Simga+ --> p + gamma? Hi, Can anyone give me some indications as to how to draw the feynman diagram for the following decay? Ʃ+ → p + \gamma Should I consider the quark composition of the sigma first? Thanks a lot.

So I feel like a complete moron for asking this. I have never been very strong in geometry so I wondered if a few math folks could help me out. I am just looking for the angle relationships of gamma, alpha, and beta. This is just a small piece of a much larger analysis that I am doing. I...

I've been reading about gamma ray bursts (GRBs) lately and have found them to be pretty interesting. As far as I have read, it appears that we still don't know much about what actually causes them, or rather, how the "internal engine" works. The most popular idea for longer lasting GRBs is a...

Homework Statement The issue I have is that I am asked to estimate the activity of a small source of gamma radiation; the question is written below: 'A small source of gamma radiation is placed at a distance of 160mm from a detector of area 18mm^2. The count recorded on the detector after 30...

Homework Statement The radioactive substance emits gamma radiation. Complete the equation below for the disintegration of the nuclei of this substance. Homework Equations ^{24}_{11}Na^{*} \rightarrow ^{?}_{?}Na + ? The Attempt at a Solution ^{24}_{11}Na^{*} \rightarrow...

Homework Statement An image of the assigned problem is here: http://imgur.com/aYkaM Homework Equations The formula for being exponential, gamma, and probably Bayes's Law. They'd take a while to type out, and presumably anyone who can help me with this already knows the formulas or...

I am reading about Dirac's equation for relativistic electron in Feynman's book "Quantum Electrodynamics". Factor \gamma =(1-v^2)^{-1/2} (units c=1) is almost always presented in non quantum calculations of Special relativity. But in his book I also find it on page 44 in lecture "Relativistic...

Homework Statement I am supposed to show that the force on a relativistic particle when a) it's perpendicular to particle's velocity is F=γm_0\frac{dv}{dt} b) it's parallel to particle's velocity is F_x=m_0γ^3\frac{dv_x}{dt} I may make use of the fact that...