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Quantum Engineering Year 1: Quantum Mechanics Core Month 16Day 424

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Year 1·Month 16·Week 1

Day 424: Infinite Spherical Well

Day 424 of 2,016~9 min read

Learning Objectives

•Set up the boundary value problem for the spherical well
•Apply the boundary condition R(a) = 0
•Find energy eigenvalues from zeros of Bessel functions
•Calculate degeneracies for each energy level
•Compare with the 3D rectangular box
•Understand the nuclear shell model connection

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The Infinite Spherical Well Potential Interior Solution r a Quantization Condition Energy Eigenvalues Zeros of Spherical Bessel Functions Energy Level Ordering Degeneracy Wavefunctions Comparison with Rectangular Box Quantum Computing Connection Nuclear Shell Model Quantum Dots

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