About the excited state of an electron

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SUMMARY

The discussion centers on the interaction between photons and electrons, specifically how a photon can excite an electron to a higher energy state. It clarifies that in Compton scattering, both the photon and electron remain post-collision, while in absorption, the photon is destroyed, transferring its energy and momentum to the electron. The analogy of a ping-pong ball in a glass of water is used to illustrate the concept of electron excitation, emphasizing that the direction of the photon's impact does not affect the electron's transition to an excited state.

PREREQUISITES
  • Quantum Mechanics fundamentals
  • Understanding of Compton scattering
  • Concept of photon absorption
  • Basic knowledge of energy and momentum conservation
NEXT STEPS
  • Study the principles of Quantum Mechanics, focusing on electron transitions
  • Explore Compton scattering in detail, including mathematical formulations
  • Investigate photon absorption processes and their implications in quantum systems
  • Learn about energy and momentum conservation laws in particle physics
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Students and enthusiasts of Quantum Mechanics, physicists studying particle interactions, and anyone interested in the behavior of electrons under photon impact.

oguz
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hi everyone, I'm a beginner in QM and I have a question.

we know that when an electron is hit by a photon, it gains the photon's energy and goes up to the excited state. Here is my question:

according to the compton effect, we can interpret the collision of a photon and an electron just like collision of billiard balls, energy and the momentum is conserved. So isn't it important the way the photon hits the electron, so it could slow down or speed up the electron.

thanks for your help, and sorry for my bad english.
 
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So isn't it important the way the photon hits the electron, so it could slow down or speed up the electron.
You must not think of electron as orbiting around proton like planets around the Sun. Instead, think as if electron stays near proton. Or rather, that an electron is a ping-pong ball inside a glass half-filled with water. If you add some water to the glass, a ball will go up, no matter from which direction you will be adding it. Right?
 
oguz said:
hi everyone, I'm a beginner in QM and I have a question.

we know that when an electron is hit by a photon, it gains the photon's energy and goes up to the excited state. Here is my question:

according to the compton effect, we can interpret the collision of a photon and an electron just like collision of billiard balls, energy and the momentum is conserved. So isn't it important the way the photon hits the electron, so it could slow down or speed up the electron.

thanks for your help, and sorry for my bad english.

In Compton scattering, the photon is scattered off the electron, and both the photon and electron still exist after the event. In absorption, the photon is destroyed, and its energy and momentum are absorbed by the atom to drive the electron to a higher bound state. As I understand it, the momentum of the photon is absorbed by the massive nucleus, while the energy goes into driving the electronic transition.
 

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