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- W2486930191 abstract "<p>We consider an invariant quantum Hamiltonian <em>H</em> = −Δ<em><sub>LB</sub></em> + <em>V</em> in the <em>L</em><sup>2</sup> space based on a Riemannian manifold <em>˜M</em> with a discrete symmetry group Γ. To any unitary representation Λ of Γ one can relate another operator on <em>M</em> = <em>˜M</em> /Γ, called <em>H</em><sub>Λ</sub>, which formally corresponds to the same differential operator as <em>H</em> but which is determined by quasi-periodic boundary conditions. As originally observed by Schulman in theoretical physics and Sunada in mathematics, one can construct the propagator associated with <em>H</em><sub>Λ</sub> provided one knows the propagator associated with <em>H</em>. This approach is reviewed and demonstrated on a quantum model describing a charged particle on the plane with two Aharonov-Bohm vortices. The construction of the propagator is explained in full detail including all substantial intermediate steps.</p>" @default.
- W2486930191 created "2016-08-23" @default.
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- W2486930191 date "2016-06-30" @default.
- W2486930191 modified "2023-10-03" @default.
- W2486930191 title "THE AHARONOV-BOHM HAMILTONIAN WITH TWO VORTICES REVISITED" @default.
- W2486930191 doi "https://doi.org/10.14311/ap.2016.56.0224" @default.
- W2486930191 hasPublicationYear "2016" @default.
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