Minimum-uncertainty angular wave packets and quantized mean values

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1996

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American Physical Society

Abstract

Uncertainty relations between a bounded coordinate operator and a conjugate momentum operator frequently appear in quantum mechanics. We prove that physically reasonable minimum-uncertainty solutions to such relations have quantized expectation values of the conjugate momentum. This implies, for example, that the mean angular momentum is quantized for any minimum-uncertainty state obtained from any uncertainty relation involving the angular-momentum operator and a conjugate coordinate. Experiments specifically seeking to create minimum-uncertainty states localized in angular coordinates therefore must produce packets with integer angular momentum.

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Kostelecký, V. A., & Tudose, B. (1996). Minimum-uncertainty angular wave packets and quantized mean values. Physical Review A - Atomic, Molecular, and Optical Physics, 53(4), 1978-1981. http://dx.doi.org/10.1103/PhysRevA.53.1978

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© 1996 American Physical Society.

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Article