About Tier 3 - Dimension
Requires several pieces of reasoning to be organised into a solution.
Difficulty describes the challenge, not the solver. It is a Society guide rather than a formal academic level.
The tier is a Society guide to the amount of reasoning, technical work and insight a problem is expected to require. Your experience may vary depending on the topic and your background.
A Quantum Jump
Quantum Physics / Particle in an Infinite Square Well - 5-7 min
A particle is confined to a one-dimensional infinite square well. Its allowed energies satisfy the relationship below, where labels the level and is a positive constant:
The particle mass and well width remain unchanged, so the same applies to every level. What is the ratio of the energy gap from level 2 to level 4 to the gap from level 1 to level 2?
Assumptions
Use the non-relativistic one-dimensional infinite square well, with energy zero at the well bottom. The task compares energy differences, not transition probabilities or selection rules.
More Options for A Quantum Jump
Collection question · Revision 1 · ID: quantum-well-transition