Quantum states of a neutral massive fermion with an anomalous magnetic moment in an Aharonov Casher fieldстатья
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Дата последнего поиска статьи во внешних источниках: 12 июля 2019 г.
Аннотация:The planar nonrelativistic quantum dynamics of a neutral massive fermion with an
anomalous magnetic moment (AMM) in the electric field of infinitely long and thin
thread with a charge density distributed uniformly along it (an Aharonov–Casher field)
is examined. The relevant Hamiltonian is singular and requires additional specification
of a one-parameter self-adjoint extension, which can be given in terms of physically
acceptable boundary conditions. We find all possible self-adjoint Hamiltonians with an
Aharonov–Casher field (ACF) by constructing the corresponding Hilbert space of square
integrable functions, including the r = 0 region, for all their Hamiltoniahs. We determine
the most relevant physical quantities, such as energy spectrum and wave functions and
discuss their correspondence with those obtained by the physical regularization procedure. We show that energy levels of bound states are simple poles of the scattering
amplitude. It is shown that the scattering amplitudes and cross-sections depend essentially on the initial-state spin of fermions.