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- W119686289 abstract "Remarkably we find that for a ring with linear boundary conditions such that the eigenvector and its derivative are continuous, there does not seem to be a way for the well-known de Broglie relation to be gauge invariant. Certain nonlinear boundary conditions assure gauge invariance, and lead to eigenfunctions with a discontinuous but differentiable phase and a continuous spectrum. A discrete subset of this spectrum forms a Hilbert space, while another subset is excluded by the nonlinear boundaries. We conclude that discontinuous momentum eigenfunctions are tenable, and that it is possible that quantum mechanics can have nonlinear boundary conditions in some circumstances." @default.
- W119686289 created "2016-06-24" @default.
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- W119686289 date "2014-07-14" @default.
- W119686289 modified "2023-09-27" @default.
- W119686289 title "Quantum Mechanics on a Ring: Continuity versus Gauge Invariance" @default.
- W119686289 hasPublicationYear "2014" @default.
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