Tunneling of Relativistic Bosons Induced by Magnetic Fields in the Magnetar's Crust
Marina-Aura Dariescu** , Ciprian Dariescu, Denisa-Andreea Mihu
Faculty of Physics, Alexandru Ioan Cuza University of Iaşi Bd. Carol I, Iaşi 700506, Romania
Abstract :The present work is devoted to the study of bosons evolving in the frozen magnetar's crust endowed with an ultra-strong magnetic field orthogonal to an electric field, both described by periodic functions. We discuss the quantum tunneling process through the one-dimensional potential barrier along Oz . The solutions to the Klein–Gordon equation are expressed in terms of Mathieu's functions which, for computable particle's energy range, are turning from oscillatory to exponentially growing modes along Oz . Within the Jeffreys–Wentzel–Kramers–Brillouin framework, the transmission coefficient is computed for the particle momentum in the middle of the instability range.
收稿日期: 2015-05-15
出版日期: 2015-10-30
:
11.15.-q
(Gauge field theories)
97.10.Ld
(Magnetic and electric fields; polarization of starlight)
97.60.Jd
(Neutron stars)
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