Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



TMF:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Teoreticheskaya i Matematicheskaya Fizika, 1974, Volume 19, Number 1, Pages 37–46 (Mi tmf3563)  

This article is cited in 49 scientific papers (total in 49 papers)

On equations for the coefficient functions of the S-matrix in quantum field theory

S. S. Ivanov, D. Ya. Petrina, A. L. Rebenko
References:
Abstract: Equations of evolution and resolvent type are constructed for the coefficient functions of the S-matrix and Greens's functions. The algebraic equivalence of the Sehwinger equations and the resolvent equations for the coefficient functions is proved.
Received: 30.05.1973
English version:
Theoretical and Mathematical Physics, 1974, Volume 19, Issue 1, Pages 332–339
DOI: https://doi.org/10.1007/BF01037189
Language: Russian
Citation: S. S. Ivanov, D. Ya. Petrina, A. L. Rebenko, “On equations for the coefficient functions of the S-matrix in quantum field theory”, TMF, 19:1 (1974), 37–46; Theoret. and Math. Phys., 19:1 (1974), 332–339
Citation in format AMSBIB
\Bibitem{IvaPetReb74}
\by S.~S.~Ivanov, D.~Ya.~Petrina, A.~L.~Rebenko
\paper On equations for the coefficient functions of the $S$-matrix in quantum field theory
\jour TMF
\yr 1974
\vol 19
\issue 1
\pages 37--46
\mathnet{http://mi.mathnet.ru/tmf3563}
\transl
\jour Theoret. and Math. Phys.
\yr 1974
\vol 19
\issue 1
\pages 332--339
\crossref{https://doi.org/10.1007/BF01037189}
Linking options:
  • https://www.mathnet.ru/eng/tmf3563
  • https://www.mathnet.ru/eng/tmf/v19/i1/p37
  • This publication is cited in the following 49 articles:
    1. Yun-Zhi Gao, Shou-Fu Tian, “Poisson structure and action-angle variables for the higher-order Chen-Lee-Liu equation”, Z. Angew. Math. Phys., 76:3 (2025)  crossref
    2. Jonatan Lenells, Ronald Quirchmayr, “On the spectral problem associated with the time-periodic nonlinear Schrödinger equation”, Math. Ann., 377:3-4 (2020), 1193  crossref
    3. Yelda Aygar, Elgiz Bairamov, “Scattering Theory of Impulsive Sturm–Liouville Equation in Quantum Calculus”, Bull. Malays. Math. Sci. Soc., 42:6 (2019), 3247  crossref
    4. A Maspero, “Tame majorant analyticity for the Birkhoff map of the defocusing nonlinear Schrödinger equation on the circle”, Nonlinearity, 31:5 (2018), 1981  crossref
    5. James Colliander, Soonsik Kwon, Tadahiro Oh, “A remark on normal forms and the “upside-down” I-method for periodic NLS: Growth of higher Sobolev norms”, JAMA, 118:1 (2012), 55  crossref
    6. Adrian Constantin, Rossen Ivanov, “Poisson Structure and Action-Angle Variables for the Camassa–Holm Equation”, Lett Math Phys, 76:1 (2006), 93  crossref
    7. K. L. Vaninsky, “Symplectic Structures for the Cubic Schr�dinger Equation in the Periodic and Scattering Case”, Math Phys Anal Geom, 8:1 (2005), 1  crossref
    8. Richard Beals, D. H. Sattinger, “Action-angle variables for the Gel'fand-Dikii flows”, Z. angew. Math. Phys., 43:2 (1992), 219  crossref
    9. V S Gerdjikov, M I Ivanov, “Expansions over the 'squared' solutions and the inhomogeneous nonlinear Schrodinger equation”, Inverse Problems, 8:6 (1992), 831  crossref
    10. Richard Beals, D. H. Sattinger, “On the complete integrability of completely integrable systems”, Commun.Math. Phys., 138:3 (1991), 409  crossref
    11. Richard Beals, Boris Konopelchenko, “On nontrivial interactions and complete integrability of soliton equations”, Journal of Mathematical Physics, 32:10 (1991), 2695  crossref
    12. V. D. Lipovskii, A. V. Shirokov, “2+1 Toda chain. II. Hamiltonian formalism”, Theoret. and Math. Phys., 84:1 (1990), 718–728  mathnet  mathnet  crossref  isi
    13. B. G. Konopelchenko, Lecture Notes in Physics, 246, Field Theory, Quantum Gravity and Strings, 1988, 284  crossref
    14. Mei-Mei Shen, D. R. Nicholson, “Stochasticity in numerical solutions of the nonlinear Schrödinger equation”, The Physics of Fluids, 30:10 (1987), 3150  crossref
    15. B G Konopelchenko, V G Dubrovsky, “The hierarchy of the Poisson brackets between the elements of the scattering matrix for the general differential spectral problem”, Inverse Problems, 2:4 (1986), 433  crossref
    16. I. M. Khamitov, “Local fields in the inverse scattering method”, Theoret. and Math. Phys., 62:3 (1985), 217–224  mathnet  mathnet  crossref  isi
    17. B. G. Konopelchenko, V. G. Dubrovsky, “Hierarchy of Poisson brackets for elements of a scattering matrix”, Letters in Mathematical Physics, 8:4 (1984), 273  crossref
    18. J. B. McLeod, P. J. Olver, “The Connection between Partial Differential Equations Soluble by Inverse Scattering and Ordinary Differential Equations of Painlevé Type”, SIAM J. Math. Anal., 14:3 (1983), 488  crossref
    19. N. Yu. Reshetikhin, L. D. Faddeev, “Hamiltonian structures for integrable models of field theory”, Theoret. and Math. Phys., 56:3 (1983), 847–862  mathnet  mathnet  crossref  isi
    20. E. D'Hoker, R. Jackiw, “Classical and quantal Liouville field theory”, Phys. Rev. D, 26:12 (1982), 3517  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:406
    Full-text PDF :136
    References:77
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025