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Year 1·Month 14·Week 2

Day 374: Infinite Square Well - Time Evolution and Quantum Revivals

Day 374 of 2,016~15 min read

Learning Objectives

•Write the general time-dependent solution for the ISW
•Calculate the quantum revival time and explain its physical origin
•Analyze fractional revivals and their connection to number theory
•Compute time-dependent expectation values $\langle x(t) \rangle$ and $\langle p(t) \rangle$
•Visualize wave packet dynamics through probability density evolution
•Connect quantum dynamics to classical bouncing particle behavior

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