output
19952026
most citedHyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces

224 citations

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Showing 2000 · math-phShow all

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math-ph2000★ 3 cited

Avoided crossings in mesoscopic systems: electron propagation on a non-uniform magnetic cylinder

Pavel Exner, Alain Joye

We consider an electron constrained to move on a surface with revolution symmetry in the presence of a constant magnetic field parallel to the surface axis. Depending on an…

math-ph2000★ 73 cited

A Time-Dependent Born-Oppenheimer Approximation with Exponentially Small Error Estimates

George A. Hagedorn, Alain Joye

We present the construction of an exponentially accurate time-dependent Born-Oppenheimer approximation for molecular quantum mechanics. We study molecular systems whose electron ma…