id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_b37rgb3xa5hkppfo5gkgsx2zxa	Adrian Heathcote	Unbounded Operators and the Incompleteness of Quantum Mechanics	1990	10	.pdf	application/pdf	5037	366	69	A proof is presented that a form of incompleteness in Quantum Mechanics follows directly from the use of unbounded operators. essential differences between bounded and unbounded self-adjoint operators. A bounded operator A defined on some Hilbert space H with domain D(A) ⊆ ²The reader will observe that the denseness of the domain does not follow from the HellingerToeplitz theorem alone; the difference is made up the requirement that the adjoint A∗ of A be an It is worth pointing out that the use of unbounded operators in Quantum Field Theory and secondly, the domain of an unbounded self-adjoint operator cannot be the self-adjoint operators are defined only on a dense subspace of H then it follows but merely note that for every bounded and unbounded self-adjoint operator A The spectral theorem gives an equivalence between a selfadjoint operator and a certain integral over a function defined on a measure space	./cache/work_b37rgb3xa5hkppfo5gkgsx2zxa.pdf	./txt/work_b37rgb3xa5hkppfo5gkgsx2zxa.txt