What is the true energy required to excite an atomic electron?

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SUMMARY

The discussion centers on the energy required to excite an atomic electron, specifically addressing whether this excitation is due to a single photon wave or multiple waves over time. It establishes that energy is calculated using Planck’s constant multiplied by the number of waves per second. The analysis of electronic excitation necessitates Quantum Field Theory (QFT) for a comprehensive understanding, as the basic Quantum Mechanics (QM) model simplifies the process to a single photon absorption and emission. This highlights the complexity of photon interactions in atomic excitation.

PREREQUISITES
  • Understanding of Planck’s constant and its role in energy calculations
  • Familiarity with Quantum Mechanics (QM) principles
  • Knowledge of Quantum Field Theory (QFT) and its application to electromagnetic fields
  • Basic concepts of photon behavior and wave-particle duality
NEXT STEPS
  • Study the quantization of the electromagnetic field in Quantum Field Theory
  • Explore the principles of photon absorption and emission in Quantum Mechanics
  • Investigate the time scales of electronic excitation and their implications
  • Learn about the wave-particle duality of photons and its effects on atomic interactions
USEFUL FOR

Physicists, students of quantum mechanics, and researchers interested in atomic excitation and photon interactions will benefit from this discussion.

Maurice Morelock
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TL;DR
Is electronic excitation caused by a single wave or multiple waves in a given time period?
Energy is equal to Planck’s constant times the number of waves in 1 sec. The time scale for electronic excitation is far shorter then one second. So when we talk about the excitation of an electron from a lower level to a higher level occurring at a certain energy, are we talking about the exciting photon as a single wave with the amplitude equal to the number of waves in one sec?
 
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Maurice Morelock said:
Summary:: Is electronic excitation caused by a single wave or multiple waves in a given time period?

Energy is equal to Planck’s constant times the number of waves in 1 sec. The time scale for electronic excitation is far shorter then one second. So when we talk about the excitation of an electron from a lower level to a higher level occurring at a certain energy, are we talking about the exciting photon as a single wave with the amplitude equal to the number of waves in one sec?
A full description of the excitation of an atom by a photon requires an analysis using QFT and, in particular, the quantization of the EM field.

https://en.wikipedia.org/wiki/Quantization_of_the_electromagnetic_field

The simplest description using only QM has a single photon of precisely the correct energy being absorbed by the atom and then a photon of the same energy being subsequently emitted. This is, however, not the whole story.
 
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