Discussion Overview
The discussion revolves around the calculation of the average distance of electrons, specifically in relation to their orbitals and energy states. Participants explore the use of wave functions and expectation values in this context.
Discussion Character
- Exploratory, Technical explanation, Mathematical reasoning
Main Points Raised
- One participant asks if there is a way to calculate the average distance between electrons in different orbitals or energy states, referencing the use of wave functions.
- Another participant suggests that it is possible to calculate the expectation value for the difference in positions, specifically for ##(\vec r_2 - \vec r_1)^2##, to enhance the analysis.
- A subsequent reply acknowledges the need to consider all powers of the distance to obtain moments of the distribution.
- One participant points out that the expectation value of the distance between the two positions, , is zero due to symmetry considerations.
Areas of Agreement / Disagreement
Participants express different approaches to calculating distances and moments, but there is no consensus on a single method or interpretation of the results.
Contextual Notes
Participants discuss the implications of symmetry in the calculations, but the discussion does not resolve the assumptions or definitions related to the wave functions and expectation values.