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Year 1·Month 14·Week 4

Day 387: Rectangular Barrier

Day 387 of 2,016~18 min read

Learning Objectives

•**Set up** the Schrodinger equation in three regions for a rectangular barrier
•**Apply** the transfer matrix method to relate wave amplitudes across interfaces
•**Derive** the transmission coefficient for E < V_0 and E > V_0
•**Calculate** transmission probabilities for given barrier parameters
•**Explain** quantum tunneling as non-zero transmission through forbidden regions
•**Analyze** how T depends on barrier width, height, and particle energy

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