Journal ArticleDOI
Is there an Azimuthal Angle Observable
H. S. Perlman,G. J. Troup +1 more
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The concept of an azimuthal-angle operator canonically conjugate to the z component of angular-momentum operator is known to present certain difficulties in quantum mechanics as mentioned in this paper.Abstract:
The concept of an azimuthal-angle operator canonically conjugate to the z component of angular-momentum operator is known to present certain difficulties in quantum mechanics. These difficulties are resolved rigorously for the first time, and their implications are discussed.read more
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Estimation of a Displacement Parameter of a Quantum System
TL;DR: In this article, a lower bound to the variance of an unbiased estimate of the time of occurrence of an event in the evolution of a system in a pure state is derived from the quantum-mechanical Cramer-Rao inequality.
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Canonical conjugate momentum of discrete label operators in quantum mechanics II: formalism
F. Cannata,L. Ferrari +1 more
TL;DR: The formalism developed in Part I of the present paper for the conjugate momentum of label operators is applied to standard physical examples, such as the regular one-dimensional lattice, the one dimensional box, and the angular momentum of the plane rotator.