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Quantum Engineering Year 3: Qualifying Exam Preparation Month 37Week 147

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Week 147: One-Dimensional Systems

Week 147 of 288~26 min read

Learning Objectives

•Solve the infinite square well for energy levels and wavefunctions
•Analyze finite wells for bound states and scattering
•Master both analytic and algebraic methods for the harmonic oscillator
•Use ladder operators fluently
•Solve delta function potential problems
•Describe wave packet evolution and spreading
•Connect 1D results to physical applications

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Overview Learning Objectives Daily Schedule Core Concepts 1 Infinite Square Well 2 Finite Square Well 3 Harmonic Oscillator Analytic 4 Harmonic Oscillator Algebraic 5 Delta Function Potential 6 Wave Packets Key Equations Infinite Well Harmonic Oscillator Delta Potential Files in This Week Study Tips Common Exam Problems