Top Cited Articles of All Time (2005 edition) in math-ph

The 50 most highly cited papers of All Time (2005 edition) in the math-ph archive

Keep in mind that citation counts can never be exact, there is something like a 5% error in most of these numbers. Please do not fret about number 32 versus 33, as this is often not a statistically significant difference. Remember the detailed warning about the accuracy of these counts.

Also note that the counts shown, and used in the rankings, are the counts as of Thu 1-Feb-2007. Further, the counts shown by the ranking are only the cites satisfying the criteria for that list. Actual citation numbers in the database may change as corrections are made and papers are added, the links will take you to the updated numbers. The lists, however, will not update.

  1. 282
    New features of FORM
    By J.A.M. Vermaseren (NIKHEF, Amsterdam).
    HEP Record [arXiv: math-ph/0010025]
    [353 Total citations in HEP]
  2. 65
    Microlocal analysis and interacting quantum field theories: Renormalization on physical backgrounds
    By Romeo Brunetti, Klaus Fredenhagen (Hamburg U.).
    Published in:Commun.Math.Phys.208:623-661,2000 [arXiv: math-ph/9903028]
    [74 Total citations in HEP]
  3. 51
    sl(2, C) as a complex Lie algebra and the associated nonHermitian Hamiltonians with real eigenvalues
    By B. Bagchi (Calcutta U., Dept. Appl. Math.), C. Quesne (Brussels U., PNTPM).
    Published in:Phys.Lett.A273:285-292,2000 [arXiv: math-ph/0008020]
    [54 Total citations in HEP]
  4. 51
    PseudoHermiticity versus PT symmetry 2. A Complete characterization of nonHermitian Hamiltonians with a real spectrum
    By Ali Mostafazadeh (Koc U.).
    Published in:J.Math.Phys.43:2814-2816,2002 [arXiv: math-ph/0110016]
    [60 Total citations in HEP]
  5. 40
    PseudoHermiticity versus PT symmetry 3: Equivalence of pseudoHermiticity and the presence of antilinear symmetries
    By Ali Mostafazadeh (Koc U.).
    Published in:J.Math.Phys.43:3944-3951,2002 [arXiv: math-ph/0203005]
    [51 Total citations in HEP]