| J. von Neumann: Mathematical foundations of quantum mechanics, (Princeton UP 1955) |
..... Von Neumann Measurement A special instrument is a von Neumann measurement, associated with a family of orthogonal projections, i.e. p x #Awith p # x p y = # xy p x , and # x p x =1I. These define an instrument T : C(X) # #A via T x (A) p x Ap x . What von Neumann actually proposed [18] was the version of this with one dimensional projections p x , so the general case is sometimes called an incomplete von Neumann measurement, or a Luders measurement. The characteristic properties of such measurements is their repeatability:sinceT x T y =0forx #= y, repeating the measurement a ....
J. von Neumann: Mathematical foundations of quantum mechanics, (Princeton UP 1955)
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J. von Neumann: Mathematical foundations of quantum mechanics, (Princeton UP 1955)
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