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- W2068691982 abstract "The dynamics of charged particles moving on a circular ring of negligible thickness is investigated. The ring has a time-dependent magnetic flux passing through it and contains a scalar potential consisting of one or more attractive wells which can bind the particle in negative energy states. For a scalar potential containing a double well structure formed from delta function potentials, the eigenfunctions, in the presence of a static flux, are determined exactly. Only the lowest two eigenstates have negative energies and these are weakly split by tunnelling. For variations of the flux that cause negligible mixing of these states with positive energy states we truncate the system to only the negative energy states. These two states constitute a novel kind of two-level system whose time evolution we have determined for fluxes that change suddenly or at a constant rate. In the latter case we find a coherent oscillation between the instantaneous eigenfunctions of the Hamiltonian." @default.
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- W2068691982 date "1994-04-01" @default.
- W2068691982 modified "2023-09-24" @default.
- W2068691982 title "On the Hindered Circulation of Charged Particles around Rings Enclosing a Varying Magnetic Flux" @default.
- W2068691982 doi "https://doi.org/10.1006/aphy.1994.1036" @default.
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