Special relativity and rest mass of a photon

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SUMMARY

The discussion centers on the nature of photons, specifically addressing their rest mass and energy. It is established that photons have zero rest mass, yet they possess momentum and energy, described by the equation E = ħc/λ, where ħ is Planck's constant, c is the speed of light, and λ is the wavelength. The confusion arises from classical mechanics, which does not apply to particles moving at light speed. Observers in relative motion may perceive photons as having relative mass, but this does not imply that their actual rest mass is anything but zero.

PREREQUISITES
  • Understanding of special relativity principles
  • Familiarity with the equation E=mc²
  • Knowledge of Planck's constant and its significance
  • Basic grasp of photon behavior and properties
NEXT STEPS
  • Study the implications of E=ħc/λ in quantum mechanics
  • Explore the concept of relativistic mass and its interpretation
  • Investigate the Larmor formula and its applications in electromagnetism
  • Learn about the Abraham-Lorentz force and its relevance to photon interactions
USEFUL FOR

Students of physics, particularly those interested in quantum mechanics and special relativity, as well as educators seeking to clarify the properties of photons and their implications in modern physics.

Lizwi
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1) How can get work done on a photon because work done = kinetic energy it depends on mass, but the rest mass of a photon is zero
2) From this equation E=PC , does this mean E of a photon is 0 because P must be zero since it depends on mass?
 
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Lizwi said:
1) How can get work done on a photon because work done = kinetic energy it depends on mass, but the rest mass of a photon is zero
2) From this equation E=PC , does this mean E of a photon is 0 because P must be zero since it depends on mass?

Remember that classical mechanics does not work for things moving at the speed of light. You need to use special relativity instead. Just because something has zero mass doesn't mean that its momentum needs to be zero.
 
http://en.wikipedia.org/wiki/Larmor_formula

http://en.wikipedia.org/wiki/Abraham-Lorentz_force

http://en.wikipedia.org/wiki/Abraham-Lorentz-Dirac_force#Abraham.E2.80.93Lorentz.E2.80.93Dirac_Forcehttp://en.wikipedia.org/wiki/Electr...stored_in_an_electrostatic_field_distribution

121ffb796bb69c4862708c38d8bdb93b.png
 
Lizwi said:
1) How can get work done on a photon because work done = kinetic energy it depends on mass, but the rest mass of a photon is zero
2) From this equation E=PC , does this mean E of a photon is 0 because P must be zero since it depends on mass?

Hi Liziwi,

The equation for finding the energy of a photon is
E= \frac{\hbar c}{\lambda }
Where E is energy, {\hbar } is Planck's constant, c is the speed of light, and {\lambda } is the wavelength of the light.
Also, because E=mc2, an observer in relative motion with a photon will perceive it as having relative mass.
 
Mark M said:
Also, because E=mc2, an observer in relative motion with a photon will perceive it as having relative mass.

Really? What experiment does he employ to perceive this "mass" of a photon?
 
Mark M said:
... an observer in relative motion with a photon will perceive it as having relative mass.

All observers are always in motion wrt to light with speed c. Photons are massless.
 

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