Is the change in energy due to light-shift the same in all levels?

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Discussion Overview

The discussion centers around the effects of light-shift, specifically the Stark shift, on energy levels in a three-level atomic system. Participants explore whether the energy shifts (\Delta E) for different levels (E1 and E2) are the same or differ when an external electric field is applied. The conversation touches on theoretical implications and the nature of energy levels in atoms.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions whether the light-shift will change the values of E1 and E2 by the same \Delta E or if they will differ.
  • Another participant suggests that the electron cloud's shape varies with energy and angular momentum, implying that each level experiences a different energy shift when an electric field is applied.
  • A later reply reiterates the point about the electron cloud's shape affecting energy shifts and asks whether the shifts will occur in the same direction or potentially differ.
  • One participant states that the Stark effect involves changes in energy levels due to an electric field and notes that the sign of the shift depends on the initial and final states of the system.

Areas of Agreement / Disagreement

Participants express differing views on whether the energy shifts for E1 and E2 are the same or different, indicating a lack of consensus on the topic. The discussion remains unresolved regarding the direction of the shifts and the implications of the Stark effect.

Contextual Notes

Participants reference the dependence of energy shifts on the shape of the electron cloud and the nature of the electric field applied, but do not provide specific mathematical formulations or assumptions that might clarify the discussion further.

ErezAgh
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TL;DR
Reminder? In a three level system, with energies E0,E1,E2: would light-shift change the values of E1 and E2 by the same \Delta E? Or would \Delta E1 be different from \Delta E2?
Remind me please? In a three level system, with discrete energies E0,E1,E2: would light-shift (Stark shift), applied due to an external electric field, change the values of E1 and E2 by the same \Delta E? Or would \Delta E1 be different from \Delta E2?
 
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Hello. Electron cloud has different shape according to energy and angular momentum of electrons, e.g. 1s, 2s,2p,3d. So each level has different energy shift in applying electric field.
 
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anuttarasammyak said:
Hello. Electron cloud has different shape according to energy and angular momentum of electrons, e.g. 1s, 2s,2p,3d. So each level has different energy shift in applying electric field.
Thanks, will the shift be in the same direction, or can it be in different directions?
 
Energy levels of atom electrons change by applying electric field. Stark effect is observation of energy gap between these energy levels so the sign of shift depends on both the changes of initial state and final state.
 
anuttarasammyak said:
Energy levels of atom electrons change by applying electric field. Stark effect is observation of energy gap between these energy levels so the sign of shift depends on both the changes of initial state and final state.
Thank you.
 

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