Nonconservation of angular momentum in aharonov-bohm scattering

Kobe, Donald H.; Liang, J.-Q.

doi:10.1016/0375-9601(86)90755-3

Cited by 9 publications

(2 citation statements)

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“…Similarly to that case, we observe that the topological character of the Berry phase occurring in the nuclear wavefunction produces a purely geometric gyration motion in the semiclassical expectation dynamics. In more generality, this feature is well known to apply to the Ehrenfest equations associated to the Aharonov-Bohm problem [41,46], although it has generated some confusion in the early stages [6,30]. Given the regularized connection ∇ζ, a generic element of its associated holonomy group [51] is generated by the geometric phase…”

Section: Geometric Character Of the Berry Phasementioning

confidence: 99%

Regularized Born-Oppenheimer molecular dynamics

Rawlinson

Tronci

2020

Phys. Rev. A

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While the treatment of conical intersections in molecular dynamics generally requires nonadiabatic approaches, the Born-Oppenheimer adiabatic approximation is still adopted as a valid alternative in certain circumstances. In the context of Mead-Truhlar minimal coupling, this paper presents a new closure of the nuclear Born-Oppenheimer equation, thereby leading to a molecular dynamics scheme capturing geometric phase effects. Specifically, a semiclassical closure of the nuclear Ehrenfest dynamics is obtained through a convenient prescription for the nuclear Bohmian trajectories. The conical intersections are suitably regularized in the resulting nuclear particle motion and the associated Lorentz force involves a smoothened Berry curvature identifying a loop-dependent geometric phase. In turn, this geometric phase rapidly reaches the usual topological index as the loop expands away from the original singularity. This feature reproduces the phenomenology appearing in recent exact nonadiabatic studies, as shown explicitly in the Jahn-Teller problem for linear vibronic coupling. Likewise, a newly proposed regularization of the diagonal correction term is also shown to reproduce quite faithfully the energy surface presented in recent nonadiabatic studies.

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