Measurability in Linear and Non-Linear Quantum Mechanical Systems
نویسنده
چکیده
The measurability by means of continuous measurements, of an observable A(t0), at an instant, and of a time averaged observable, Ā = 1/T ∫ A(t)dt, is examined for linear and in particular for non-linear quantum mechanical systems. We argue that only when the exact (non-perturbative) solution is known, an exact measurement may be possible. A perturbative approach is shown to fail in the non-linear case for measurements with accuracy ∆Ā < ∆Āmin(T ), giving rise to a restriction on the accuracy. Thus, in order to prepare an initial pure state of a non-linear system, by means of a continuous measurement, the exact non-perturbative solution must be known. e-mail: [email protected] LAUR-97-186 1
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