Gamma Definition and 685 Threads

Hi all, i have a critical question. You have a point source (radioactive)..that emits 100 gamma per second. Now if you place a metal or foil (e.g., Al)..will the no. of gamma reduces? If it reduces how to calculate..based on beer law..(if we know the attenuation coefficient of that metal and...

k*Γ((n-1)/2 + 1)=Γ(n/2 + 1) I need to solve for k, and I'm having some difficulty manipulating the gamma function to obtain my desired result. Any properties, hints or help would be greatly appreciated.

Can you show me how to get the series representation of \Gamma(n-3/2+1)? For example \Gamma(n+3/2+1)=\frac{(2n+3)(2n+1)!}{2^{2n+2}.n!}. I cannot figure out how to write a series with: n=0 => \Gamma(0-3/2+1)= -2\sqrt{\pi} n=1 => \Gamma(1-3/2+1)= \sqrt{\pi} n=2 =>...

Can anyone walk me through this calculation? I'm not completely sure how to do it (merely a student). So is this considered a 1 body radiative decay? So the factorized amplitude would be something like M \propto <D^0|\bar{u}\gamma_\mu\left(1-\gamma_5\right)c|0>[A_1...

I request for help in understanding the following: Q1. Why is the ionising power of alpha particles greater than that of gamma rays? Q2. Why does the ratio of neutrons to protons in a nucleus increase after the emission of an alpha particle? I would like to have a quantitative...

Homework Statement Define the function: f(x)= The integral from 0 to infinity of t^(x)e^(-t)dt. Find f(3), f(4) and f(5). Notice anything? Homework Equations N/A The Attempt at a Solution I assume that I start by finding the integral of f(x). I used wolfram alpha and found that...

Homework Statement One of the thermonuclear or fusion reactions that takes place inside a star such as our Sun is the production of helium-3 (3He, with two protons and one neutron) and a gamma ray (high-energy photon, denoted by the lowercase Greek letter gamma, ) in a collision between a...

Hi guys, me again, with two questions. Just saw a documentation about supernova, when supernova happens, a huge amount of gamma ray is emitted since it is vacuum in space, why wouldn't the gamma ray hit us? Even if its far and takes a few thousand years for it to reach us, it would eventually...

I'm not sure if this thread fits into this particular forum, but about how many megatons would be equal to the explosive power of a gamma ray burst?

Does anyone know the speed that gamma rays travel, as a speed or in proportion to the speed of light. Thanks

Hello all, i need one suggestion for shielding of a gamma source. I have a gamma source with initial activity of 50 mCi=1.85X10^9Bq. What thickness of lead needed to protect myself! I used the formula I(x)=I exp(-kx). I=50mCi; k=37.6 cm^2/g (linear attenuation for 122 keV) and x the thickness...

\[Gamma][v_] := 1/Sqrt[1 - (v)^2] plot1 = Plot[\[Gamma][v], {v, -.99, .99}, PlotStyle -> {Thick, RGBColor[0.6, 0, 0]}, PlotRange -> All] \.08 plot2 = Plot[0, {v, -.99, .99}, PlotRange -> All] \.08 Show[plot1, plot2, PlotRange -> All, AxesLabel -> {"\!\(\*FractionBox[\"v\"...

Hi, I have measured some spectrums from various gamma sources and I was wondering what kind of fitting I should do to determine the Compton edge. I have access to Logger Pro, Excel, and mathematica. I have fit the photopeak with a Gaussian so I know the uncertainty in the Compton edge, I...

Hi, I'm trying to work out the variance of the gamma(I'm up the the part where you multiply x^2 by the function), but i don't know how to work out what \gamma(\alpha + 2) equals to i know I am supposed to use the fact that \gamma(\alpha + 1) = \alpha \gamma(\alpha) but i don't...

Hello PF members, I curious to know some basic idea..why the line shape of nuclear decay is displayed as a Breit-Wigner (BW) profile (x-axis as energy and y-axis as intensity) ??.. or any \gamma ray is often shown as a BW profile?? thanks for your reply.

A very vague question: What is the derivative of the gamma function? Here's what I've got, using differentiation under the integral. Can anybody tell me if I'm on the right track? What does my answer mean? \Gamma(z) = \int_0^{\infty} t^{z - 1} \: e^{-t} \; dt The integrand can be...

Hi! Can someone help me prove that the variance for the inverse gamma is: \frac{\beta^2}{(\alpha - 1)^2 (\alpha -2)} I started with: E(x) = \int_0^\infty x \frac{\beta^{\alpha}}{\gamma(\alpha)}(\frac{1}{x})^{\alpha + 1} exp (\frac{-\beta}{x}) dx then i let y = \frac{\beta}{x}; dy =...

Hi.I wonder is it possible to create a home made muon or gamma ray detector? And if it is possible would you mind to show me some way? Thanks...

\Gamma(z)=\int^{\infty}_0x^{z-1}e^{-x}dz z\in\mathhad{C} In which problems in statistical physics we need gamma functions of complex argument? I don't know how to calculate \Gamma(i) for exaple?

Hello all, Is there any way to make the Gamma function \Gamma[z] defined at z=0? Because in my calculations, I have a single case among many other cases where the argument of the gamma function equals zero. Regards

I spend some time studying special functions recently. I found two definitions of gamma function, one in form of integral and the other in form of infinite products, and I cannot prove of their equivalence. I found the definition in infinite product form important in proofing many properties of...

I need to find a way to sum/ a closed form representation for: \sum^{N}_{n=1}\frac{\Gamma(n-s)}{\Gamma(n+s)} 0<Re(s)<1 Thanks for the help in advance.

I just can't comprehend that gamma ray can come out of a black hole. Gamma rays are electromagnetism which contain photons, but photons have no mass. And we all know that a black hole swoops up light as well. And what recaton has the gamma ray on the mass around the black hole? I know It's true...

I need to show whether or not: |\gamma(s,1)| converges for 0<Re(s)<1. Does anyone know of an expansion for this that would prove convergence?

I know that a Hypernova release two huge jets of gamma rays, but I'm not real sure on how they are formed. Also it was mentioned that by following the burst of gamma rays, we're looking back in time. How is this actually possible. I have a shaky grasp on the idea.

Homework Statement How can i determine the integration of incomplete gamma function. I mean how to determine int_0^1 gammainc(3/4,r). where gammainc(a,x)=int_0^x t^(a-1)e^(-t) dt Homework Equations The Attempt at a Solution

Hey everyone, I need to be able to be able to explain how a gamma spectrometer (NaI scintillator) can determine the energy of a given gamma ray (or more particularly, determines the effective dose rate, but that shouldn't be to hard once I figure out how to get the energy). The problem, as far...

From what i have read the gamma ray frequency cap ranges from 3×10^19 to 3×10^24. I want to know what you guys have heard it is. Are the highest measured gamma ray from a supernova calculated with any time dialated effects? Also what is the thoertical cap of something higher than a gamma ray...

Hi there! The experiment: I'm counting Gamma and beta rays emitted from gamma and beta cylindrical sources, for counting I'm using a simple GM counter, which has nearly the same cylindrical shape (i mean diameter). As we all know this are electromagnetic emissions, so they distance must...

hi my friends I want some informations to study about gamma wave and interactions of it on humans cells.thancks alot.

On the included link, it is calculated that 5% of payouts are around $627 and 95% of payouts are at $1444. I would appreciate if someone can direct me as to how the came up with this answer. http://www.brighton-webs.co.uk/distributions/gamma.asp"

\Gamma(n) = (n-1)! Corrrect?

I need to know the practical applications of the absorption of gamma rays in materials.

I'm very confused By performing a lorentz transformation on a spinor \psi\rightarrow S(\Lambda)\psi(\Lambda x) and imposing covariance on the Dirac equation i\gamma^{\mu}\partial_{\mu}\psi=0 we deduce that the gamma matrices transform as S(\Lambda)\gamma^{\mu}...

Hello, When writting a gamma distributed RV we need to know the shape and scale parameters. How to find the value of these parameters? Thanks in advance

Is there any on-line reference which describes the interaction of high energy (> 100 Mev) gamma rays with matter. These are gamma rays from gamma ray bursts, etc. in contrast to low energy from nuclear radiation.

Homework Statement I read in a paper that: \Gamma\left(c,\,d\frac{x+e}{x-y}\right) = (c-1)!\,exp\left[-d\frac{y+e}{x-y}\right]\,exp[-d]\,\sum_{k=0}^{c-1}\,\sum_{l=0}^k \frac{d^k}{k!}{k\choose l}\left(\frac{y+e}{x-y}\right)^l Homework Equations But the incomplete gamma function...

Could you consider the gamma function to be a closed form representation? If I could express a numerical series in terms of the gamma function, would it be considered a closed form representation?

Hello, I'm attempting to analyse the data recovered from an experiment that I performed in lab, but I'm having some problems understanding how to properly apply the statistical methods learned to this specific problem. Essentially, the experiment consisted of placing a source of gamma rays...

http://news.yahoo.com/s/afp/20090219/sc_afp/sciencespaceastronomy This was one was supposed to be 12 billion LY away. How do we tell? If it is using red shift, how do we know what it looks like unshifted?

gamma matrix trace Paradox?? Hello, i tried to evaluate this particular little guy: \text{Tr} (\gamma ^0 p_\mu \gamma ^\mu \gamma ^0 q_\nu \gamma ^\nu ) using these identities: \gamma^0 \gamma^0 = I \text{Tr} (\gamma^\mu \gamma^\nu \gamma^\rho \gamma^\sigma) = 4 (g^{\rho \sigma} g^{\mu \nu}...

I remember reading before that hydrogen gas is "transparent" to gamma rays. What does this mean? I know it has something to do with the gamma rays not heating the hydrogen. Also, would Xenon gas be transparent to gamma rays?

Homework Statement For the case of a strong shock propagating into a gas with \gamma=7/5 What is the ratio \rho2/\rho1 Homework Equations \rho\ u=constant P+ \rho\ u^2=constant \frac{1}{2} u+ \frac{\gamma }{\gamma -1}\frac{\ P}{\rho} = constant The Attempt at a Solution I can use the 3...

How to prove that this formula is correct: \lim_{x\to\infty} \frac{\Gamma(x+1)}{\sqrt{2\pi x}\big(\frac{x}{e}\big)^x} = 1 I have seen a proof for this: \lim_{n\to\infty} \frac{n!}{\sqrt{2\pi n}\big(\frac{n}{e}\big)^n} = 1 but it cannot be generalized easily for gamma function. The proof...

\Gamma(z) = \int\limits_0^{\infty} t^{z-1} e^{-t} dt I can see that if \textrm{Re}(z)>0, then the integral converges, and that if \textrm{Re}(z)\leq 0 and \textrm{Im}(z)=0, then it diverges. However, I found the case \textrm{Re}(z)\leq 0 and \textrm{Im}(z)\neq 0 more difficult. t^{z-1} =...

can anybody help me to proove gamma(n+1/2)=(2n)!*sqrt(pi)/((4^n)*n!) thank you

I know that theorically the numbers of counts between compton edge and the photopeak must be zero. In practice it doens't occur. Why? Thanks in advance!

1. Numerically approximate \Gamma(\frac{3}{2}). Is it reasonable to define these as (\frac{1}{2})!? 2. Show in the sense of question 1. that (\frac{1}{2})! = \frac{1}{2}\sqrt{\pi} at least numerically. How am i supposed to attempt this numerically? given that i do not know additional...

Why does Mathematica sometimes give Gamma, the funtion and sometimes !, the factorial? What is the differences?

Okay, I'm writing a short response of about one page right now. Here's the question: Regarding soft gamma ray repeaters, 1. Is there any connection between the electromagnetic radiation and gravitational radiation? (specify: luminosity of the source? Thresholds?) and 2. How much...