How can a photon became a electron ?

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SUMMARY

A photon can transform into an electron-positron pair when it scatters off a nucleus, provided the energy condition hf > 2mc² is met. This phenomenon is analogous to wave behavior in water, where a sufficiently energetic wave can create bubbles upon encountering an obstacle. Additionally, photons can cause photo-ionization, breaking the attraction between a nucleus and an electron if the energy condition hf > I is satisfied, where I represents the ionization energy of the atom.

PREREQUISITES
  • Understanding of photon behavior and energy (hf)
  • Familiarity with particle physics concepts, specifically electron-positron pair production
  • Knowledge of ionization energy and its implications in atomic physics
  • Basic grasp of wave-particle duality in quantum mechanics
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  • Research the principles of electron-positron pair production in quantum electrodynamics
  • Study the implications of the energy-mass equivalence principle E = mc² in particle interactions
  • Explore the concept of photo-ionization and its applications in spectroscopy
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Students and professionals in physics, particularly those focused on quantum mechanics, particle physics, and atomic interactions, will benefit from this discussion.

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Hi,

Is there any simple answer to the fenomena where a photon can became a electron ?
can we use the E = mc2 for that ?

Thanks for any help.
 
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It's easy. Let us consider a water with a plane wave on its surface. Without any obstacle on the surface this wave propagates without changing. If there is an obstacle (a rock), the wave scatters of it. If the wave is sufficiently energetic, it can create two bubles on the surface attracting each other.

The same is with photon. While scattering off some obstacle (a nucleus), it can create an electron-positron pair (a neutral system - the total charge should be conserved!). The necessary condition for that is hf > 2mc2.

Another analogy/phenomenon is atom ionization. A photon can "break" the nucleus-electron attraction and create an electron and an ion (photo-ionization). The necessary condition for that is hf > I, where I is the atom ionization energy.
 
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