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)
[1] Duncan R C and Thompson C 1992 Astrophys. J. 392 L9 1992 Astrophys. J. 395 250 2015 arXiv:1505.07013 [astro-ph.] 2010 Phys. Rep. 487 1 2008 Astrophys. J. 688 1258 2013 Astrophys. J. 762 13 An Introduction to Phase-Integral Methods (London: Methuen)2015 arXiv:1504.04828 [astro-ph] 2004 Astrophys. J. 609 999 2003 Phys. Rev. D 67 083512 2011 Chin. Phys. Lett. 28 010303 Table of Integrals, Series and Products (New York: Academic)2013 Mod. Phys. Lett. A 28 1350138 2002 Phys. Rev. Lett. 88 101103 2012 Int. J. Theor. Phys. 51 526 The 17th International Workshop on High-Energy Physics and Quantum Field Theory (Samara Saratov, Russia 4–11 September 2003) p 368
[1]
.
[2]
.
[3]
.
[4]
Ciprian Dariescu;Marina-Aura Dariescu**. Chiral Fermion Conductivity in Graphene-Like Samples Subjected to Orthogonal Fields
[5]
ZHANG Xiu-Ming;DUAN Yi-Shi. The Topological Structure of the SU(2) Chern-Simons Topological Current in the Four-Dimensional Quantum Hall Effect
[6]
LIANG Wen-Feng;WU Ming;LIU Hui;CHEN Xiang-Song. Gauge-Invariant Spin and Orbital Angular Momentum of Laguerre--Gaussian Laser
[7]
ZHONG Wo-Jun;DUAN Yi-Shi. Topological Quantization of Instantons in SU(2) Yang--Mills Theory
[8]
ZET Gheorghe;MANTA Vasile;POPA Camelia. Gauge Model Based on Group G×SU(2)
[9]
KE San-Min;SHI Kang-Jie;WANG Chun;WU Sheng. Flat Currents and Solutions of Sigma Model on Supercoset Targets with Z2m Grading
[10]
DUAN Yi-Shi;WU Shao-Feng. Regular Magnetic Monopole from Generalized ’t Hooft Tensor
[11]
ZHANG Yun;JING Ji-Liang. Dirac Quasinormal Modes of the Schwarzschild--anti-de Sitter Black Hole with a Global Monopole
[12]
DUAN Yi-Shi;YANG Jie. The Topological Inner Structure of Chern--Simons Tensor Current and the World-Sheet of Strings
[13]
DUAN Yi-Shi;REN Ji-Rong;YANG Jie. Cosmic Strings and Quintessence
[14]
Integer and Half-Integer Quantization Conditions in Quantum
Mechanics. Integer and Half-Integer Quantization Conditions in Quantum
Mechanics
[15]
ZHAO Shucheng. MASSIVE ABELIAN GAUGE FIELD THEORY AND INTERACTION BETWEEN BARYON CHARGES AND CURRENTS
2015, Vol. 32 
