Discussion Overview
The discussion revolves around determining the width of an infinite quantum well necessary to produce a photon with a wavelength of 450nm during an electron transition. It involves theoretical calculations and interpretations of quantum mechanics principles.
Discussion Character
- Homework-related
- Mathematical reasoning
Main Points Raised
- One participant presents the problem of calculating the width of a quantum well based on a photon transition wavelength of 450nm.
- Another participant provides the energy eigenvalue equation for an electron in a 1-D infinite square well and relates it to the energy of a photon.
- A participant questions the correctness of the equation used, noting a discrepancy between their book's equation and the one provided.
- One participant expresses confusion over their calculations, indicating they are obtaining unexpectedly small results compared to the expected width.
- Another participant suggests that the difference in equations may stem from the use of h(bar) instead of h, and prompts the original poster to check their calculations again.
- One participant confirms they arrived at a width of approximately 6.4*10^(-10) meters, but expresses frustration over not achieving the correct result in time.
- There is a mention of potential issues with understanding the frequency aspect of the problem.
Areas of Agreement / Disagreement
Participants express varying levels of understanding and confusion regarding the calculations, with no consensus on the correct approach or final answer. Discrepancies in equations and results are noted, indicating ongoing uncertainty.
Contextual Notes
Participants reference different equations and interpretations, which may depend on specific definitions or assumptions about the quantum well model. There are unresolved mathematical steps and potential misunderstandings regarding the relationship between energy and frequency.
Who May Find This Useful
This discussion may be useful for students or individuals studying quantum mechanics, particularly those interested in quantum wells and photon transitions.