A New Version of the Aharonov–Bohm Effect
Autor: | César R. de Oliveira, Renan G. Romano |
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Rok vydání: | 2020 |
Předmět: |
Physics
010308 nuclear & particles physics Physics - History and Philosophy of Physics FOS: Physical sciences General Physics and Astronomy Mathematical Physics (math-ph) 81Q12 Quantum Physics Condensed Matter::Mesoscopic Systems and Quantum Hall Effect 01 natural sciences Magnetic flux Magnetic field symbols.namesake Quantum mechanics 0103 physical sciences symbols History and Philosophy of Physics (physics.hist-ph) 010306 general physics Aharonov–Bohm effect Hamiltonian (quantum mechanics) Mathematical Physics Schrödinger's cat |
Zdroj: | Foundations of Physics. 50:137-146 |
ISSN: | 1572-9516 0015-9018 |
Popis: | We propose a simple situation in which the magnetic Aharonov-Bohm potential influences the values of the deficiency indices of the initial Schr\"odinger operator, so determining whether the particle interacts with the solenoid or not. Even with the particle excluded from the magnetic field, the number of self-adjoint extensions of the initial Hamiltonian depends on the magnetic flux. This is a new point of view of the Aharonov-Bohm effect. |
Databáze: | OpenAIRE |
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