Abstract:
We reconsider the problem of the sum and difference of two angle variables in quantum mechanics. The spectra of the sum and difference operators have widths of , but angles differing by are indistinguishable. This means that the angle sum and difference probability distributions must be cast into a range. We obtain probability distributions for the angle sum and difference and relate this problem to the representation of nonbijective canonical transformations.
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Received: 6 December 1997 / Revised: 15 April 1998 / Accepted: 7 May 1998
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Luis, A., Sánchez-Soto, L. Quantum theory of rotation angles: The problem of angle sum and angle difference. Eur. Phys. J. D 3, 195–200 (1998). https://doi.org/10.1007/s100530050164
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DOI: https://doi.org/10.1007/s100530050164