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Volumn 80, Issue 3, 2009, Pages

Perturbation theory for metastable states of the Dirac equation with quadratic vector interaction

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMANTS; BOREL TRANSFORM; CENTRAL POTENTIALS; CONTINUOUS SPECTRUM; DIRAC EQUATIONS; DIVERGENT SERIES; META-STABLE STATE; NONPERTURBATIVE; NUMERICAL RESULTS; NUMERICAL SOLUTION; PERTURBATION EXPANSIONS; PERTURBATION SERIES; PERTURBATION THEORY; SINGULAR BOUNDARY VALUE PROBLEMS; SPACE DIMENSIONS; SPATIAL DIMENSION; SPECTRAL PROBLEM; SPECTRAL PROPERTIES; SPHERICAL SYMMETRY; THREE SPACE DIMENSIONS; VECTOR POTENTIAL;

EID: 70349084866     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.80.032107     Document Type: Article
Times cited : (9)

References (40)
  • 1
    • 0002669259 scopus 로고
    • 10.1103/PhysRev.41.278
    • M. S. Plesset, Phys. Rev. 41, 278 (1932). 10.1103/PhysRev.41.278
    • (1932) Phys. Rev. , vol.41 , pp. 278
    • Plesset, M.S.1
  • 3
    • 0002080695 scopus 로고
    • 10.2307/2372657
    • P. Hartman, Am. J. Math. 76, 831 (1954). 10.2307/2372657
    • (1954) Am. J. Math. , vol.76 , pp. 831
    • Hartman, P.1
  • 6
    • 55849097332 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.101.190401
    • R. Giachetti and E. Sorace, Phys. Rev. Lett. 101, 190401 (2008). 10.1103/PhysRevLett.101.190401
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 190401
    • Giachetti, R.1    Sorace, E.2
  • 9
    • 0347162275 scopus 로고
    • 10.1103/PhysRev.82.664
    • J. Schwinger, Phys. Rev. 82, 664 (1951). 10.1103/PhysRev.82.664
    • (1951) Phys. Rev. , vol.82 , pp. 664
    • Schwinger, J.1
  • 10
    • 70349156000 scopus 로고    scopus 로고
    • arXiv:0801.3300.
    • S. P. Kim, e-print arXiv:0801.3300.
    • Kim, S.P.1
  • 11
    • 33646864402 scopus 로고
    • 10.1016/0370-1573(79)90095-4
    • C. Quigg and J. L. Rosner, Phys. Rep. 56, 167 (1979). 10.1016/0370-1573(79)90095-4
    • (1979) Phys. Rep. , vol.56 , pp. 167
    • Quigg, C.1    Rosner, J.L.2
  • 12
    • 0001566380 scopus 로고
    • 10.1016/0370-1573(80)90031-9
    • H. Grosse and A. Martin, Phys. Rep. 60, 341 (1980). 10.1016/0370-1573(80) 90031-9
    • (1980) Phys. Rep. , vol.60 , pp. 341
    • Grosse, H.1    Martin, A.2
  • 13
    • 70349087478 scopus 로고    scopus 로고
    • arXiv:0705.2353.
    • A. Martin, e-print arXiv:0705.2353.
    • Martin, A.1
  • 17
    • 0003073521 scopus 로고
    • Proceedings of the International School of Subnuclear Physics, Erice, 1979, edited by A. Zichichi (Plenum Press, New York
    • G. 't Hooft, The Ways of Subnuclear Physics, Proceedings of the International School of Subnuclear Physics, Erice, 1979, edited by, A. Zichichi, (Plenum Press, New York, 1979), pp. 943-971.
    • (1979) The Ways of Subnuclear Physics , pp. 943-971
    • 'T Hooft, G.1
  • 23
    • 0037053218 scopus 로고    scopus 로고
    • Schwinger pair production via instantons in strong electric fields
    • DOI 10.1103/PhysRevD.65.105002
    • S. P. Kim and D. N. Page, Phys. Rev. D 65, 105002 (2002). 10.1103/PhysRevD.65.105002 (Pubitemid 44628396)
    • (2002) Physical Review D , vol.65 , Issue.10 , pp. 105002
    • Kim, S.P.1    Page, D.N.2
  • 25
    • 33748296088 scopus 로고    scopus 로고
    • Chiral tunnelling and the Klein paradox in graphene
    • DOI 10.1038/nphys384, PII NPHYS384
    • M. I. Katsnelson, K. S. Novoselov, and A. K. Geim, Nat. Phys. 2, 620 (2006). 10.1038/nphys384 (Pubitemid 44328348)
    • (2006) Nature Physics , vol.2 , Issue.9 , pp. 620-625
    • Katsnelson, M.I.1    Novoselov, K.S.2    Geim, A.K.3
  • 28
    • 36149016496 scopus 로고
    • 10.1103/PhysRev.85.631
    • F. Dyson, Phys. Rev. 85, 631 (1952); in this paper Dyson made the simple observation that power series converge in disks, so that, if the continuation was possible, Eq. 2.6 would admit bound states also for g2 <0, which does not occur. This signifies that the perturbation expansion in g has zero radius of convergence. 10.1103/PhysRev.85.631
    • (1952) Phys. Rev. , vol.85 , pp. 631
    • Dyson, F.1
  • 29
    • 0003847267 scopus 로고
    • Oxford University Press, Oxford
    • G. H. Hardy, Divergent Series (Oxford University Press, Oxford, 1947).
    • (1947) Divergent Series
    • Hardy, G.H.1
  • 32
    • 0037771544 scopus 로고
    • 10.1063/1.1666460
    • S. Graffi, J. Math. Phys. 14, 1184 (1973). 10.1063/1.1666460
    • (1973) J. Math. Phys. , vol.14 , pp. 1184
    • Graffi, S.1
  • 34
    • 70349137780 scopus 로고    scopus 로고
    • arXiv:math-ph/0210029.
    • E. Caliceti, e-print arXiv:math-ph/0210029.
    • Caliceti, E.1
  • 35
    • 0039675005 scopus 로고
    • 10.1016/0003-4916(70)90240-X
    • B. Simon and A. Dicke, Ann. Phys. 58, 76 (1970). 10.1016/0003-4916(70) 90240-X
    • (1970) Ann. Phys. , vol.58 , pp. 76
    • Simon, B.1    Dicke, A.2
  • 38
    • 4544381502 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge, U.K.
    • A. Sidi, Practical Extrapolation Methods (Cambridge University Press, Cambridge, U.K., 2003), Chap..
    • (2003) Practical Extrapolation Methods
    • Sidi, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.