摘要We consider a non-rotating strongly magnetized object, whose magnetic induction is of the form Bx = B0(t) sinκz. In the electromagnetic field generated by only one component of the four-vector potential, we solve the Klein–Gordon equation and discuss the sudden growth of the scalar wave functions for wavenumbers inside computable ranges. In the case of unexcited transversal kinetic degrees, we write down the recurrent differential system for the amplitude functions and compute the respective conserved currents.
Abstract:We consider a non-rotating strongly magnetized object, whose magnetic induction is of the form Bx = B0(t) sinκz. In the electromagnetic field generated by only one component of the four-vector potential, we solve the Klein–Gordon equation and discuss the sudden growth of the scalar wave functions for wavenumbers inside computable ranges. In the case of unexcited transversal kinetic degrees, we write down the recurrent differential system for the amplitude functions and compute the respective conserved currents.
[1] Weber F 1999 Acta Phys. Polon. B 30 3149
[2] Rocha S S, Taurines A R and Vasconcellos C A Z 2002 Mod. Phys. Lett. A 17 1335
[3] Crawford J P and Kazanas D 2009 Astrophys. J. 701 1701
[4] Walter F M, Wolk S J and Neuhäuser R 1996 Nature 379 233
[5] Goldreich P and Reisenegger A 1992 Astrophys. J. 395 250
[6] Cumming A, Arras P and Zweibel E 2004 Astrophys. J. 609 999
[7] Rheinhardt M and Geppert U 2002 Phys. Rev. Lett. 88 101103
[8] Hollerbach R and Rüdiger G 2004 Mon. Not. Roy. Astron. Soc. 347 1273
[9] Biskamp D, Schwarz E and Drake J F 1996 Phys. Rev. Lett. 76 1264
Cho J and Lazarian A 2009 Astrophys. J. 701 236
[10] Wareing C J and Hollerbach R 2009 Astron. Astrophys. 508 L39
[11] Pons J A and Geppert U 2010 Astron. Astrophys. 513 L12
[12] Duncan R C and Thompson C 1992 Astrophys. J. 392 L9
[13] Pons J A, Miralles J A, Miniutti G and Perez-Azorin J F 2006 Astron. Astrophys. 459 175
[14] Pons J A and Geppert U 2007 Astron. Astrophys. 470 303
[15] Woods P M and Thompson C 2006 in Compact Stellar X-Ray Sources (Cambridge Astrophysics Series) (Cambridge: Cambridge University) No 39 pp 547–586
[16] Gradshteyn I S and Ryzhik I M 1965 Table of Integrals, Series and Products 4th edn (New York: Academic)
[17] Grib A A, Mamayev S G and Mostepanenko V M 1994 Vacuum Quantum Effects in Strong Fields (St. Petersburg: Friedmann Laboratory Publishing) LC Control No.: 98137794
[18] Sakai T, Mori J, Buchmann A J, Shimizu K and Yazaki K 1997 Nucl. Phys. A 625 192