Force or work for electronic transition?

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SUMMARY

The discussion centers on the calculation of work done and force on electrons during electronic transitions in atoms or molecules subjected to time-dependent perturbations. The work done is defined as the energy difference between the initial and final states of the electron, which is essential for understanding electronic transitions. The force acting on the electrons can be determined using Newton's second law, F = ma, where 'm' represents the mass of the electron and 'a' is its acceleration. The application of Ehrenfest's theorem was mentioned as a method to analyze these transitions, although the user expressed some confusion regarding its implementation.

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  • Understanding of electronic transitions in quantum mechanics
  • Familiarity with Ehrenfest's theorem
  • Knowledge of Newton's laws of motion
  • Basic concepts of energy levels in atoms and molecules
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  • Research the application of Ehrenfest's theorem in quantum mechanics
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Students and researchers in quantum mechanics, physicists studying atomic and molecular transitions, and anyone interested in the dynamics of electronic behavior under external perturbations.

ani4physics
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Hi all. This is my first post @ physics forum. For last two weeks I have been wondering about this problem: We all know that an atom or molecule subjected to a time-dependent perturbation makes electronic transition, and whether the transition is allowed or not depends on the transition moment of the atom/molecule and the frequency of the external field. My question is, what is the work done for any particular electronic transition and what is the force on the electrons for that transition. I have tried using Ehrenfest theorem for that, but kinda clueless right now. Any insight will be greatly appreciated.
 
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The work done for an electronic transition is the energy difference between the initial and final states. This energy difference is the energy needed to move the electron from its original state to the new state. The force on the electrons for the transition can be calculated by using the equation F = ma, where m is the mass of the electron and a is the acceleration of the electron.
 

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