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Quantum Engineering Year 0: Mathematical Foundations Month 10Day 277

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Year 0·Month 10·Week 4

Day 277: Schrödinger Equation Simulations (1D)

Day 277 of 2,016~9 min read

Learning Objectives

•Implement the split-step Fourier method for TDSE
•Understand and preserve unitarity in numerical evolution
•Simulate quantum tunneling through barriers
•Visualize wave packet spreading and interference
•Connect numerical solutions to analytical results

Today's Schedule (7 hours)

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1 Time-Dependent Schrdinger Equation 2 Split-Step Fourier Method 3 Quantum Tunneling 4 Harmonic Oscillator Dynamics

Day 276Day 277 of 2,016Day 278