Center of mass of a system of two photons

Click For Summary
SUMMARY

The center of mass of a system composed of two photons can be defined using the concept of center of momentum, despite photons having zero rest mass. In a center of momentum frame, both photons possess equal energies and travel in opposite directions, maintaining equidistance from the center. To determine the center of mass in a laboratory frame when the photons have different energies, one must apply Lorentz transformation equations. The total momentum (p) of the system must equal zero for the center of momentum to be established.

PREREQUISITES
  • Understanding of Lorentz transformation equations
  • Familiarity with the concept of momentum in physics
  • Knowledge of photon properties, including energy and mass
  • Basic grasp of relativistic physics principles
NEXT STEPS
  • Study Lorentz transformation equations in detail
  • Research the implications of zero rest mass on momentum
  • Explore the concept of center of momentum in relativistic systems
  • Examine case studies involving systems of photons and their energy distributions
USEFUL FOR

Physicists, students of relativity, and anyone interested in advanced concepts of momentum and energy in photon systems.

kthouz
Messages
188
Reaction score
0
How can one calculate the center of mass of a system made of two photons? I know that they have zero rest mass so the first intuition is to say that they do not have any center of mass. However, I read about something called center of momentum which is defined as a frame in which a moving particle is at rest. So, if it is possible to have a center of momentum of a system of two photons, how can the center of mass of this system be defined?
 
Physics news on Phys.org
In their centre of mass frame they both have the same energies and fly in opposite directions, always equidistant from the centre.
Just solve appropriate Lorentz's transformation equations to find the centre of mass in laboratory frame if your photons have different energies.
 
"Center of momentum" simply means p=0, where p is the total momentum of both particles.
 

Similar threads

  • · Replies 19 ·
Replies
19
Views
3K
  • · Replies 25 ·
Replies
25
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 26 ·
Replies
26
Views
2K
  • · Replies 1 ·
Replies
1
Views
455
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 83 ·
3
Replies
83
Views
7K
  • · Replies 25 ·
Replies
25
Views
2K