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DC Field | Value | Language |
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dc.contributor.author | Borg, James L. | - |
dc.contributor.author | Pulé, J. V. | - |
dc.date.accessioned | 2024-02-07T14:28:40Z | - |
dc.date.available | 2024-02-07T14:28:40Z | - |
dc.date.issued | 2003 | - |
dc.identifier.citation | Borg, J. L., & Pulé, J. V. (2003). Pauli approximations to the self-adjoint extensions of the Aharonov–Bohm Hamiltonian. Journal of Mathematical Physics, 44(10), 4385-4410. | en_GB |
dc.identifier.uri | https://www.um.edu.mt/library/oar/handle/123456789/118293 | - |
dc.description.abstract | It is well known that the formal Aharonov–Bohm Hamiltonian operator, describing the interaction of a charged particle with a magnetic vortex, has a four-parameter family of self-adjoint extensions, which reduces to a two-parameter family if one requires that the Hamiltonian commutes with the angular momentum operator. The question we study here is which of these self-adjoint extensions can considered as limits of regularized Aharonov–Bohm Hamiltonians, that is Pauli Hamiltonians in which the magnetic field corresponds to a flux tube of nonzero diameter. We show that not all the self-adjoint extensions in this two-parameter family can be obtained by these approximations, but only two one-parameter subfamilies. In these two cases we can choose the gyromagnetic ratio in the approximating Pauli Hamiltonian in such a way that we get convergence in the norm resolvent sense to the corresponding self-adjoint extension. | en_GB |
dc.language.iso | en | en_GB |
dc.publisher | American Institute of Physics | en_GB |
dc.rights | info:eu-repo/semantics/restrictedAccess | en_GB |
dc.subject | Pauli exclusion principle | en_GB |
dc.subject | Selfadjoint operators | en_GB |
dc.subject | Quantum theory | en_GB |
dc.subject | Mathematical physics | en_GB |
dc.title | Pauli approximations to the self-adjoint extensions of the Aharonov–Bohm Hamiltonian | en_GB |
dc.type | article | en_GB |
dc.rights.holder | The copyright of this work belongs to the author(s)/publisher. The rights of this work are as defined by the appropriate Copyright Legislation or as modified by any successive legislation. Users may access this work and can make use of the information contained in accordance with the Copyright Legislation provided that the author must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the prior permission of the copyright holder | en_GB |
dc.description.reviewed | peer-reviewed | en_GB |
dc.identifier.doi | 10.1063/1.1601298 | - |
dc.publication.title | Journal Of Mathematical Physics | en_GB |
Appears in Collections: | Scholarly Works - FacSciMat |
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