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Quantum Engineering Year 1: Quantum Mechanics Core Month 14Day 369

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Year 1·Month 14·Week 1

Day 369: Wave Packet Dynamics

Day 369 of 2,016~16 min read

Learning Objectives

•**Derive the time-dependent wave packet** from the TDSE
•**Calculate phase velocity and group velocity** from the dispersion relation
•**Explain why group velocity equals classical velocity**
•**Compute wave packet spreading** and its time dependence
•**Interpret dispersion** as a consequence of non-linear ω(k)
•**Animate wave packet propagation** to visualize spreading

Today's Schedule (7 hours)

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On this page

1 Time Evolution from the TDSE 2 Time-Dependent Wave Packet 3 Phase Velocity 4 Group Velocity 5 Classical Correspondence 6 Dispersion and Spreading 7 Gaussian Wave Packet Evolution 8 Spreading Analysis 9 Uncertainty Evolution 10 Physical Interpretation of Spreading Quantum Computing Connection Matter Wave Interferometry Quantum Communication Channels Ultrafast Dynamics

Day 368Day 369 of 2,016Day 370