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Quantum States of a Neutral Massive Fermion with an Anomalous Magnetic Moment in an External Electric Fieldстатья
Информация о цитировании статьи получена из
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Дата последнего поиска статьи во внешних источниках: 4 сентября 2018 г.
- Автор: Khalilov V.R.
- Журнал: Moscow University Physics Bulletin
- Том: 73
- Номер: 3
- Год издания: 2018
- Издательство: Allerton Press
- Местоположение издательства: New York, N.Y., United States
- Первая страница: 293
- Последняя страница: 300
- DOI: 10.3103/S0027134918030098
- Аннотация: Abstract—The quantum dynamics of a nonrelativistic neutral massive fermion with an anomalous magnetic moment (AMM) is examined in the external electric field of an infinitely long thin homogeneously charged thread in the plane with a normal directed along the thread. The Hamiltonian of the Dirac–Pauli equation for a neutral fermion with AMM is essentially singular in the considered external field and requires a supple mentary extension of the definition in order for it to be treated as a self-adjoint quantum-mechanical opera tor. All one-parameter self-adjoint extensions of the Hamiltonian of the Dirac–Pauli equation in the consid ered external field are found in the nonrelativistic approximation. The corresponding Hilbert space of square integrable functions, including a singularity point of the Hamiltonian, is specified for each self-adjoint exten sion of the Hamiltonian. The wave functions of free and bound states, as well as discrete energy levels, are determined by the self-adjoint extension method and their correspondence with similar quantities obtained by the physical regularization procedure is discussed. It is shown that energy levels of bound states are simple poles of the scattering amplitude, which should be extended in definition by introducing the self-adjoint extension parameter into it. Expressions for the scattering amplitude and cross-section, depending on the ori entation of the initial-state spin of fermion, are obtained.
- Добавил в систему: Халилов Владислав Рустемович