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Quantum Engineering Year 1: Quantum Mechanics Core Month 16Day 425

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Year 1·Month 16·Week 1

Day 425: Finite Spherical Well

Day 425 of 2,016~9 min read

Learning Objectives

•Set up matching conditions at r = a for finite wells
•Derive the transcendental equation for bound states
•Understand when bound states exist
•Calculate the critical potential depth for the first bound state
•Analyze the continuum threshold
•Connect to nuclear and atomic physics

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The Finite Spherical Well Interior Region r a Exterior Region r a Matching Conditions at r a The l 0 Case s-waves Dimensionless Form Critical Depth for First Bound State General l Condition Number of Bound States Quantum Computing Connection Quantum Simulation of Scattering Threshold Behavior

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