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Advanced Physics Homework Help
Linear Operator L with Zero Matrix Elements
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[QUOTE="sayebms, post: 5228885, member: 300413"] [h2]Homework Statement [/h2] Suppose a linear operator L satisfies <A|L|A> = 0 for every state A. Show that then all matrix elements <B|L|A> = 0, and hence L = 0. [h2]Homework Equations[/h2] ##<A|L|A>=L_{AA} and <B|L|A>=L_{BA}## [h2]The Attempt at a Solution[/h2] It seems very straight forward and I don't know how to prove it but here is what I have tried: ##<B|L|A> \to##Using resolution of Identity ##\to \sum_{A} <B|A><A|L|A> \to <B|L|A>=0## Is it right or do I need to write more. [/QUOTE]
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Linear Operator L with Zero Matrix Elements
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