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Is operator that is made from orthonormal operator also orthonormal?
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[QUOTE="ArnarVidars, post: 4514729, member: 489013"] The notation |Ψ[SUB]i[/SUB]> is a Dirac notation from quantum mechanics. I'm trying to translate from my own language so I'm sorry for the confusion. G={|ψ[SUB]1[/SUB]>,|ψ[SUB]2[/SUB]>,|ψ[SUB]3[/SUB]>} is a orthonormal base in the Hilbert space. We let U|Ψ[SUB]i[/SUB]>=|Ψ[SUB]i+1[/SUB]> for 1,2 and U|Ψ[SUB]3[/SUB]>=|Ψ[SUB]1[/SUB]>. So U={|Ψ[SUB]2[/SUB]>,|Ψ[SUB]3[/SUB]>,|Ψ[SUB]1[/SUB]>}. Is U unitary? [/QUOTE]
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Is operator that is made from orthonormal operator also orthonormal?
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