Angular Momentum - Definition, Units, Formula, Video, Right Hand Rule, Examples and FAQs
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Starting with a momentum operator 𝐩 having eigenstates |𝐩^'⟩, define an infinitesimal boost operator ℬ(d 𝐩^') that changes one momentum eigenstate into another, that is ℬ(d 𝐩^')|𝐩^'⟩=|𝐩^' d 𝐩^'⟩. Show that the form ℬ(d 𝐩^')=1 i 𝐖 ·d 𝐩^', where 𝐖 is Hermitian, satisfies the unitary, associative, and inverse properties that are appropriate for ℬ(d 𝐩^'). Use dimensional analysis to express 𝐖 in terms of the position operator 𝐱, and show that the result satisfies the canonical commutat
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