Gamma Definition and 685 Threads

  1. K

    Can Gamma Rays Make Plasma in a Vaccum

    Alright, If you had a vacuum chamber and put in a gamma ray producing material (say Radium) would it produce plasma? I have seen someone do this with microwaves, so why wouldn't it work way gamma? Heres the site that uses microwaves to produce plasma...
  2. D

    Product of three gamma matrices

    I need help proving the identity \gamma^{\mu}\gamma^{\nu}\gamma^{\rho}=\gamma^{\mu}g^{\nu\rho}+\gamma^{\rho}g^{\mu\nu}-\gamma^{\nu}g^{\mu\rho}+i\epsilon^{\sigma\mu\nu\rho}\gamma_{\sigma}\gamma^{5}
  3. R

    Solvent heat up due to gamma ray

    I am planning to use a gamma ray densitometer to measure the local concentration of slurry flow in a pipe loop. Since i am using an organic solvent(flammable) to make the slurry, i am worried that gamma ray passing through it will heat it up significantly and cause hazard. I would like to...
  4. C

    Gamma Spectroscopy: NAI vs Germanium Detector Accuracy

    What is a difference between NAI and Germanium detector in terms of accuracy?
  5. K

    Stopping or absorbing gamma rays

    Here is a question I have for you. Is there a way to stop gamma rays through a dense material that is transparent? If so what is this transparent material? Can someone help?
  6. M

    Why is the gamma function equal to (n-1) ?

    Homework Statement Why is the equality below true? \Gamma(n) = (n-1)! Where \Gamma(n) = \int^{\infty}_{0} x^{n-1} e^{-x}dxHomework Equations The Attempt at a Solution I've read the article on wikipedia but I cannot understand it. Is there any special properties in calculus that I must know...
  7. K

    What Causes Alpha, Beta, and Gamma Rays?

    [SIZE="5"]What CAUSES alpha, beta and gamma rays?
  8. W

    Deriving taylor series for v/c and gamma

    Homework Statement The velocity of a proton relative to our galaxy is vp/c = 1-(0.5*10^20), i.e. almost one. Such protons are actually observed. When velocity it very nearly one \gamma is very large. 1/\gamma is very small. Use Taylor series to show that for v almost one we have...
  9. Y

    Approximate formulas for integrals of Gamma functions?

    Suppose f(n,p)=integral(n!/(x! (n - x)!dx, for x from -1/2 to p) where n>1, p<n+1/2 Are approximate formulas known for this kind of integral? Empirically, f(n,n+1/2) seems to be close to 2^n More generally, I'm looking for approximate formulas for integrals of n!/(x1!x2!...xn!) over nice...
  10. I

    Hermitianity of gamma matrices

    Dear guys, I know that gamma matrices have some relations, like \gamma^0{\gamma^\mu}^\dagger\gamma^0 = \gamma^\mu \quad---(*) And I am wondering if this is representation independent? Consider, S\gamma^0S^{-1}S{\gamma^\mu}^\dagger S^{-1}S\gamma^0 S^{-1} = S\gamma^\mu S^{-1}...
  11. P

    Fermi Gamma Ray Telescope: Ruling Out Lorentz-Violating Theories

    The almost simultaneous detection of low energy and high energy photons puts tight constraints on models predicting linear dependence of c on E. But it's very far from ruling out quadratic dependence. My question is, why do Lorentz-violating theories commonly predict linear rather than quadratic...
  12. J

    Proof that gamma matrices form a complete basis

    Hi all, I'm interested in proving/demonstrating/understanding why the Dirac gamma matrices, plus the associated tensor and identity, form a complete basis for 4\times4 matrices. In my basic QFT course, the Dirac matrices were introduced via the Dirac equation, and we proved various...
  13. S

    What is incomplete gamma function? How are they evaluated

    What is incomplete gamma function? How are they evaluated? thks for any ans.
  14. Saladsamurai

    Incomplete Gamma Function Notation

    I am using a particular form of the incomplete gamma function (which I have never seen before) in my probability course. It is denoted: F(x;\alpha) = \int_0^x \frac{y^{\alpha - 1}e^{-y}}{\Gamma(\alpha)}\,dy\qquad(1)Question 1 Why the bounds in terms of 'x' ? I am just a little confused by...
  15. Saladsamurai

    Probability Poisson Process and Gamma Distribution

    Homework Statement The Attempt at a Solution Part (a) is no problem, it is simply P(X>10) = 1 - P(X<=10) which requires the use of tabulated cumulative poisson values. Part (b) is throwing for a loop. I know that I need to invoke the Gamma distribution since that is what the...
  16. V

    Understanding Gamma Ray Bursts: Can We Predict & Model?

    I've been reading up on Gamma-Ray bursts, and one thing which has struck me is that, when described through light curves, no burst appears to be the same. Given the phenomenon seem to be based on standard principles, that doesn't make sense to me - behavior cannot be random. Is there any way to...
  17. I

    Gamma 5 Dirac Matrice: Understanding Pseudo-Scalar

    Hi, i wonder somethin' when I see that definition of the matrice: \gamma^5=\gamma^0\gamma^1\gamma^2\gamma^3 I don't see why it is a pseudo-scalar.
  18. C

    What are the practical applications of the Gamma function in various fields?

    What are practical applications of the gamma function?
  19. C

    Detection of Gamma Rays | Atomic Nucleus Decay

    Hi I'm studying decay of atomic nucleus. Alpha and beta rays are essentially particles and their path are easily traced. But high frequency gamma rays easily penetrate metal foils, and I wonder that how gamma rays are practically detected and measured in lab experiments? Is photo-electric...
  20. N

    Collapsed hypergiant forms a gamma ray pulsating black hole

    I am having a hard time understanding the theory that a collapsed hypergiant forms a gamma ray pulsating black hole. Can someone explain how the em radiation can travel so fast with such energy as to not only escape the event horizon but also do so with such intensity?
  21. Jonnyb42

    Potential for Gamma Ray Bursts to Pose a Threat to Earth?

    Are there any known celestial bodies that at any time could collapse and produce a GRB directed towards earth? I know WR 104 used to be one, but they discovered it to be off at an angle.
  22. M

    Are gamma rays produced in fusion reactions?

    Lots of articles and papers I read talk about the gamma rays produced during fusion reactions. And yet, when I look at equations for fuel cycles, the sum of the energies of the fusion products equals the total energy liberated. Since this implies that all of the energy released in the fusion...
  23. K

    How to read a Gamma Ray Spectrum

    For some of my work, I am investigating methods of scanning for nuclear material. As part of my study, I have run across Gamma Ray Spectroscopy: http://en.wikipedia.org/wiki/Gamma_spectroscopy" What I am having trouble with is reading a gamma ray spectrum (I am a software engineer with a...
  24. R

    What Would Happen if a Gamma Ray Burst Hit Our Sun?

    I enjoy asking myself random questions and then finding the answers online i.e. forums however, I could not find the answer to this one. What would happen if a gamma ray burst hit a star or specifically our sun?
  25. J

    Gamma Distribution Confidence Interval

    How would you go about finding the confidence interval for the parameters of the gamma distribution? I have had a look online and haven't found anything with the answer... Thanks
  26. L

    Does it take a long time or a short time for gamma rays to reach the photosphere

    What happens to gamma rays as they travel outward from the core of the sun through the sun? -also, does it take a long time or short time for neutrinos to reach the photosphere of the sun from the core of the sun? Why? The main question has nothing to do with the earth, it is more...
  27. D

    Calculating Gamma Ray Emission Recoil Speed

    Homework Statement A 67-Zn nucleus is at rest and in its first excited state, 93.3 keV above the ground state. The nucleus then decays to the ground state with the emission of a gamma ray. (One atomic mass unit is 931.5 MeV/c2.) What is the recoil speed of the nucleus? (You can assume...
  28. R

    Gamma matrices and lorentz algebra

    I'm trying to show that the generators of the spinor representation: M^{\mu \nu}=\frac{1}{2}\sigma^{\mu \nu}=\frac{i}{4}[\gamma^\mu,\gamma^\nu] obey the Lorentz algebra: [M^{\mu \nu},M^{\rho \sigma}]=i(\delta^{\mu \rho}M^{\nu \sigma}-\delta^{\nu \rho}M^{\mu \sigma}+\delta^{\nu \sigma}M^{\mu...
  29. Y

    Verify Gamma function, not a homework problem

    I want to verify the procedure of finding .\Gamma(n+p+1). with p =-ve. This is usually found in Bessel's equation. It is well talked about if p=+ve. But books I have don't even talking about in general how to find the series representation when p=-ve. I worked this out and I want to verify with...
  30. B

    Express the following integral in terms of the gamma function

    Homework Statement This is actually part of a probability problem I'm thinking about. I'm trying to find the nth moment of a certain random variable in terms of the gamma function, which is basically equivalent to solving the following integral or expressing it in terms of the gamma function...
  31. E

    How to Integrate the Complementary Error Function with an Exponential Decay?

    Hello, How to integrate the following integral (or what to use in the table of integrals): \int_0^{\infty}\underbrace{\mbox{erfc}\left(\sqrt{\gamma}\right)}_{Complementary Error Function}\,\mbox{e}^{-\gamma}\,d\gamma? Thanks in advance
  32. K

    How Do You Calculate Probabilities in a Standard Gamma Distribution?

    Homework Statement This is an example in my book with omitted steps. Suppose the reaction time X of a randomnly selected individual to a certain stimulus has a standard gamma distribution with alpha=2. When X is continuous P(2<=X<=5) = F(5;2)-F(3;2) = .960-.801 = .159 Homework...
  33. F

    Energy of resulting Gamma Rays after particle annihilation

    Homework Statement An electron and a positron are moving side by side in the +x direction at 0.50c when they annihilate each other creating two gamma rays. What is the energy of each photon? Homework Equations (mc2 + K+) + (mc2 + K-) = E1 + E2 The Attempt at a Solution I solved...
  34. S

    Calculating Distance for Equivalence of Gamma Ray and Solar Radiation Power

    Given the energy if sun were to instantly vaporize (using E = mc^2) = 2.7 x 10^47 J ( E = (mass of sun) * c^2) how far would one have to be from a gamma ray burst is order for the average power from it to be equivalent to the average power from the sun's radiation at the Earth (solar...
  35. S

    How Far from a Gamma Ray Burst to Match Solar Radiation at Earth?

    Given the energy if sun were to instantly vaporize (using E = mc^2) = 2.7 x 10^47 J ( E = (mass of sun) * c^2) how far would one have to be from a gamma ray burst in order for the average power from it to be equivalent to the average power from the sun's radiation at the Earth (solar...
  36. P

    How could you test that gamma rays spread out in different directions?

    ^ thanks
  37. M

    Gamma function (infinite product representation)

    I have come across this expression in some notes \Gamma (z) = \frac{1}{z} \prod \frac{(1+ \frac{1}{n})^{z}}{1+ \frac{z}{n}} Do you think it's accurate? I have some doubts because I have looked for it on wokipedia, and I couldn't find it.
  38. J

    Calculating Gamma Ratio: Tricks for Hard Problems

    Hi, I need to calculate \Gamma(7/3)/\Gamma(1/3) is there some trick to doing this type of problem? I'm finding it really hard to do from first principles. Any help would be great, thanks!
  39. FeDeX_LaTeX

    Gamma radioactive decay of anti-particles

    Hello; Just needed to clarify something. When anti-particles undergo gamma radioactive decay, is a gamma ray produced, or an anti-gamma ray? Or something completely different? Thanks.
  40. D

    Unbiased estimator/MSE from a Gamma dist.

    I have given some serious effort to working out and understanding the MLE of a distribution. From the distribution f(x;\theta)= x^{3}e^{-x/\theta}/(6\theta^{4}), I have gotten the MLE theta-hat = xbar/4 I have a lot of difficulty figuring out if it is an unbiased estimator or not. How do I...
  41. Q

    Gamma ray spectroscopy: Germanium detector efficiency calibration.

    Hi all, Got a bit of a problem with a lab experiment at uni (I'm not sure if this is the right place to post this, mods feel free to move it if necessary!) Anyway: We're trying to get a plot of efficiency against energy for a planar germanium detector. We've got spectra for different...
  42. I

    Help With Gamma Function Homework

    Homework Statement I (2n,m) = Integral cos^(2n)O sin^(m)O cosO dO limits are 0 to 2pi and O = theta 0.4/3 = 0.1333 show that I 2n,m = 2n/ m+1 (I2n-2, m+2) Homework Equations I really have no idea how to work with this problem. It is under Gamma function of the instructors...
  43. L

    Gamma spectrum Na-22: Peak origins

    Hey, For my first post here, I had a question about the gamma spectrum of Na-22. I measured the gamma spectrum of Na-22 with a Ge-spectrometer. Using Genie-2000 software I saw two peaks in the spectrum, 1274 keV (peaksurface 3981±1,74%) and 511 keV (peaksurface 25494±0,68%). (Horizontal...
  44. V

    Notation relating to gamma matrices

    Hi My QFT course assumes the following notation for gamma matrices: \gamma ^{\mu_1 \mu_2 \mu_3 \mu_4} = {\gamma ^ {[\mu_1}}{\gamma ^ {\mu_2}}{\gamma ^ {\mu_3}}{\gamma ^ {\mu_4 ]}} what does the thing on the right hand side actually mean? Its seems to be a commutator of some sort.
  45. N

    What Happens if Gamma Ray Bursts Hit Earth's Ozone?

    Is there a video of that kind of scenario floating around youtube? Have not had any luck finding a video of such a scenario.
  46. S

    Frame-Jumping & Incorrect Gamma Derivations Aplenty

    HI, I've been mulling over the derivation of the Lorentz factor gamma in my head for some time now & had worried about it a bit. I've now discovered that what was bothering me was something called "frame-jumping". This is where you use the Pythagorean Theorem to derive Gamma. If you're...
  47. O

    Gamma ray Energy Spectrum of Cd-109 and Sn-113

    Hi, For my experiment, i need the gamma ray energy spectrum of Cd-109 and Sn-113 with NaI detector. would anyone help me please? thanks everyone.
  48. D

    WR104 Gamma Ray Burst: Fact or Fiction?

    Sorry if I sound crazy, but I just heard about this and would like a reliable fact check before I worry. So I recently heard about this binary star system known as WR104. I read that it was pointed right at us and, at some point in the future, it will release a gamma ray burst that will wipe...
  49. I

    Dimension of the gamma matrices in general dimension

    Dear guys, I read a derivation of the dimension of gamma matrices in a d dimension space, which I don't quite understand. First of all, in d dimension, where d is even. One assumes the dimension of gamma matrices which satisfy \{ \gamma^\mu , \gamma^\nu \} = 2\eta^{\mu\nu}...
  50. N

    Alpha, Beta, Gamma , neutron ray, which one is harmful?

    Homework Statement If you were given 4 cookies, each emitter different ray 1)Alpha, 2)Beta,3) Gamma , 4)neutron You have to make decision of the following: a)eat one of the cookies b)dispose one of the cookies at storage facility called WHIP c)put one of the cookies in your pocket...
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