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Part II: One-Dimensional Systems

• Free particle and wave packets.
• Step potential: Reflection and transmission coefficients (classical vs quantum behavior).
• Barrier penetration (tunneling): Alpha decay explanation, scanning tunneling microscope principle.
• Square well potentials: Infinite square well (particle in a box) – energy quantization, wavefunctions; finite square well – even/odd parity solutions.
• Harmonic oscillator: Algebraic (ladder operator) method and analytical (Hermite polynomials) method.