id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_raw4eer3yvbwte4vjjgm7zrpxm	Bryan W. Roberts	Unreal Observables	2017	15	.pdf	application/pdf	4618	375	61	This note argues that quantum observables can include not just self-adjoint that restricts which sets of non-self-adjoint operators can be interpreted as observables at After introducing the mathematics of self-adjoint and normal operators in Section 2, we turn in Section 3 to one of A normal operator has an entirely real spectrum if and only if it is self-adjoint This means that every non-self-adjoint normal operator has a spectrum that is Dirac's argument actually shows is that all normal operators, and not just the self-adjoint The statistics for normal operators like iσz works out the same as for self-adjoint as an argument that we should treat self-adjoint (Hermitian) operators as observables, If we allow normal operators without a real spectrum to be observables, can we still If not all sets of normal operators can be interpreted as observables at once, which Unreal observables, taken to be normal operators that are not self-adjoint, serve	./cache/work_raw4eer3yvbwte4vjjgm7zrpxm.pdf	./txt/work_raw4eer3yvbwte4vjjgm7zrpxm.txt