Introduction to Quantum Mechanics · Problem 4.5

Quantum Mechanics in Three Dimensions — David J. Griffiths

Physics — Quantum Mechanics · angular_equation_solutions

Problem

Show that Θ(θ)=Aln⁡[tan⁡(θ/2)]\Theta(\theta) = A \ln[\tan(\theta/2)] satisfies the θ\theta equation (Equation 4.25), for ℓ=m=0\ell = m = 0. This is the unacceptable "second solution"—what's wrong with it?

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