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Physics Letters A

Rotation of kinetic orbital angular momentum of a charged particle due to effects of global geometric phase

Pei-Song He

Published Jan 30, 2025• 1 citation
Publisher
DOI
10.1016/j.physleta.2025.130310

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The propagation of a scalar field that satisfies the Schrodinger equation in a coiled helical potential well is studied. It is demonstrated that on propagation the scalar wave acquires an additional phase whose value is determined only by geometric parameters of the helix. It is established that this geometric phase is proportional to the orbital angular momentum of the particle and the solid angle subtended by the trajectory of the state on the orbital Poincare sphere. It is shown that this phase increment takes place for any state with well-defined orbital angular momentum and can be obtained through a simple rotational transformation of the Schrodinger equation into some effective rotating frame. A possible way of detection of such a phase in an interferometric experiment is also discussed. A connection is made with the propagation of optical vortices in coiled few-mode optical fibres.