What is Relativistic energy: Definition and 61 Discussions

In physics, the energy–momentum relation, or relativistic dispersion relation, is the relativistic equation relating total energy (which is also called relativistic energy) to invariant mass (which is also called rest mass) and momentum. It is the extension of mass–energy equivalence for bodies or systems with non-zero momentum. It can be written as the following equation:

This equation holds for a body or system, such as one or more particles, with total energy E, invariant mass m0, and momentum of magnitude p; the constant c is the speed of light. It assumes the special relativity case of flat spacetime. Total energy is the sum of rest energy and kinetic energy, while invariant mass is mass measured in a center-of-momentum frame.
For bodies or systems with zero momentum, it simplifies to the mass–energy equation



E
=

m

0



c

2




{\displaystyle E=m_{0}c^{2}}
, where total energy in this case is equal to rest energy (also written as E0).
The Dirac sea model, which was used to predict the existence of antimatter, is closely related to the energy–momentum relation.

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  1. MathematicalPhysicist

    Relativistic energy and momentum questions.

    problems statement: 1. a nucleus of mass m initially at rest absorbs a gamma ray (photon) and is excited to a higher energy state such that its mass now is 1.01m, find the energy of the incoming photon needed to carry out this excitation. 2. A moving radioactive nucleus of known mass M emits...
  2. D

    Relativity : relativistic energy

    Homework Statement Find the speed of a particle whose total energy is 3 times its rest energy.Homework Equations KE = \gamma mc^2 - mc^2The Attempt at a Solution i let total energy = 3mc^2 and then : \gamma mc^2 = KE + mc^2 3mc^2 = KE + mc^2 v = \frac{\sqrt{3}}{2} c Is this correct? or...
  3. M

    Relativistic Energy Quantization for Particle in Box

    How would you go about finding the energy for "the particle in a box" when the particle is relativistic? Since the energy is no longer p^2/2m, then the general quantization won't apply. I know that the two principles that still apply even when a particle is relativistic are: \lambda =...
  4. W

    Relativistic Energy: Calculating Time Difference for Neutrinos from Supernova

    Hey I have a problem concerning relativistic energy One neutrino has an energy of 10 MeV and a rest mass of 10 eV/c^2. Another neutrino has an energy of 30 MeV and a rest mass of 10 eV/c^2. Calculate the difference in time that the two particles arrive at Earth if they are emitted from a...
  5. G

    Relativistic Energy and four momentum

    A particle of initial kinetic energy T0 and rest energy E0 strikes a like particle at rest. The initial particle is scattered at an agle theta to its original direction. Show that the final kinetic energy T is T = T0cos2(theta)/(1+ (T0sin2(theta)/2E0)) what I have so far: We know that...
  6. B

    Measuring relativistic energy

    how do we measure the relativistic energy of a tardyon?
  7. S

    Relativistic Energy- well a basic algebraic simplification

    a little rough on this simplification, is this correct? solving for "u" E = mc^2 / (root)(1-u^2/c^2) (root)(1-u^2/c^2) = mc^2/E 1 - u^2/c^2 = (mc^2/E)^2 1 = (mc^2/E)^2 + u^2/c^2 c^2 = (mc^2/E)^2 (c^2) + u^2 -> (sq root everything) u = c - mc^3/E pretty bad i don't...
  8. Z

    Relativistic energy and matter

    all speed are relative to the observer, but if we have 2 planets with inteligent beings and for one of them all the objects in the universe seem to move just a bit slower than the other planet, wouldn't it then be less matter and energy in thge universe for those biengs? and with finite amount...
  9. H

    Relativistic Energy: Explained

    can anyone explain to me wha relativistic is?
  10. A

    Question about relativistic energy

    A pion at rest (m_pi = 273m_e) decays to a muon (mass = 207m_e and an antineutrino (mass = 0). Find the kinetic energy of the muon and the energy of the antineutrino in electron volts. How am I supposed to start this problem? ANy help would be great...thx!
  11. M

    Derivation of relativistic energy

    I am now currently using an introductory modern physics textbook but they did not give me the derivation for relativistic KE for a moving object which is \gamma mc^2 . Is the derivation too difficult to be put in the introductory text?? Anyway, what is its derivation? Thanks alot.
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