In this paper, we compute the diffractive wave propagator of the Aharonov-Bohm effect (Aharonov and Bohm, Phys Rev 115(3):485, 1959) on R-2 with a single solenoid using a technique of moving solenoid location. In addition, we compute the corresponding diffraction coefficient which is the principal symbol of the diffractive propagator. This paper proves the propagation of singularities of the Aharonov-Bohm Hamiltonian.
机构:
East China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
NYU ECNU Inst Math Sci NYU Shanghai, Shanghai 200062, Peoples R ChinaLebanese Univ, Dept Math, Nabatieh, Lebanon
机构:
St Petersburg State Univ, St Petersburg 199034, RussiaSt Petersburg State Univ, St Petersburg 199034, Russia
Arkhipov, M., V
Arkhipov, R. M.
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St Petersburg State Univ, St Petersburg 199034, Russia
ITMO Univ, St Petersburg 197101, Russia
Russian Acad Sci, Ioffe Inst, St Petersburg 194021, RussiaSt Petersburg State Univ, St Petersburg 199034, Russia
Arkhipov, R. M.
Rosanov, N. N.
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ITMO Univ, St Petersburg 197101, Russia
Russian Acad Sci, Ioffe Inst, St Petersburg 194021, RussiaSt Petersburg State Univ, St Petersburg 199034, Russia