There exist non orthogonal quantum measurements that are perfectly repeatable
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We show that, contrarily to the widespread belief, in quantum mechanics repeatable measurements are not necessarily described by orthogonal projectors--the customary paradigm of "observable". Nonorthogonal repeatability, however, occurs only for infinite dimensions. We also show that when a non orthogonal repeatable measurement is performed, the measured system retains some "memory" of the number of times that the measurement has been performed.
4 pages, 1 figure, revtex4, minor changes
4 pages, 1 figure, revtex4, minor changes