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, 1975, Volume 25, Number 2, Pages 147–163 (Mi tmf4060)  

This article is cited in 130 scientific papers (total in 132 papers)

Quantization of solitons

V. E. Korepin, L. D. Faddeev
References:
Abstract: The quantization of particle-like solutions is considered on the example of the Sine–Gordon equation. Quasi-classical approximation is shown to be good when the coupling constant is small. Quantum corrections are calculated with the aid of the functional integral.
Received: 02.04.1975
English version:
Theoretical and Mathematical Physics, 1975, Volume 25, Issue 2, Pages 1039–1049
DOI: https://doi.org/10.1007/BF01028946
Bibliographic databases:
Language: Russian
Citation: V. E. Korepin, L. D. Faddeev, “Quantization of solitons”, TMF, 25:2 (1975), 147–163; Theoret. and Math. Phys., 25:2 (1975), 1039–1049
Citation in format AMSBIB
\Bibitem{KorFad75}
\by V.~E.~Korepin, L.~D.~Faddeev
\paper Quantization of solitons
\jour TMF
\yr 1975
\vol 25
\issue 2
\pages 147--163
\mathnet{http://mi.mathnet.ru/tmf4060}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=495948}
\transl
\jour Theoret. and Math. Phys.
\yr 1975
\vol 25
\issue 2
\pages 1039--1049
\crossref{https://doi.org/10.1007/BF01028946}
Linking options:
  • https://www.mathnet.ru/eng/tmf4060
  • https://www.mathnet.ru/eng/tmf/v25/i2/p147
  • This publication is cited in the following 132 articles:
    1. Kishan K. Mishra, Aijaz H. Lone, Srikant Srinivasan, Hossein Fariborzi, Gianluca Setti, “Magnetic skyrmion: from fundamental physics to pioneering applications”, Applied Physics Reviews, 12:1 (2025)  crossref
    2. Antal Jevicki, Xianlong Liu, Junjie Zheng, “Symmetries and the Hilbert Space of Large N Extended States”, Universe, 10:2 (2024), 99  crossref
    3. Sergei Rutkevich, “Soliton confinement in the double sine-Gordon model”, SciPost Phys., 16:2 (2024)  crossref
    4. Toni Annala, Tommi Mikkonen, Mikko Möttönen, “Optical induction of monopoles, knots, and skyrmions in quantum gases”, Phys. Rev. Research, 6:4 (2024)  crossref
    5. Kang Wang, Wensen Wei, Haifeng Du, “The Cubic B20 Chiral Magnet FeGe”, Adv Funct Materials, 2024  crossref
    6. Jeremias Aguilera Damia, Giovanni Galati, Luigi Tizzano, “Symmetries, universes and phases of QCD2 with an adjoint Dirac fermion”, J. High Energ. Phys., 2024:12 (2024)  crossref
    7. Keshaan Singh, Pedro Ornelas, Angela Dudley, Andrew Forbes, “Synthetic spin dynamics with Bessel-Gaussian optical skyrmions”, Opt. Express, 31:10 (2023), 15289  crossref
    8. Karol K. Kozlowski, “On convergence of form factor expansions in the infinite volume quantum Sinh-Gordon model in 1+1 dimensions”, Invent. math., 233:2 (2023), 725  crossref
    9. Zhizhong Zhang, Kelian Lin, Yue Zhang, Arnaud Bournel, Ke Xia, Mathias Kläui, Weisheng Zhao, “Magnon scattering modulated by omnidirectional hopfion motion in antiferromagnets for meta-learning”, Sci. Adv., 9:6 (2023)  crossref
    10. Chenhao Wan, Yijie Shen, Andy Chong, Qiwen Zhan, “Scalar optical hopfions”, eLight, 2:1 (2022)  crossref
    11. Börge Göbel, Ingrid Mertig, Oleg A. Tretiakov, “Beyond skyrmions: Review and perspectives of alternative magnetic quasiparticles”, Physics Reports, 895 (2021), 1  crossref
    12. G. I. Japaridze, Hadi Cheraghi, Saeed Mahdavifar, “Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction”, Phys. Rev. E, 104:1 (2021)  crossref
    13. Alexander Moll, “Exact Bohr–Sommerfeld Conditions for the Quantum Periodic Benjamin–Ono Equation”, SIGMA, 15 (2019), 098, 27 pp.  mathnet  crossref
    14. N. Avalishvili, G. I. Japaridze, G. L. Rossini, “Long-range spin chirality dimer order in the Heisenberg chain with modulated Dzyaloshinskii-Moriya interactions”, Phys. Rev. B, 99:20 (2019)  crossref
    15. I. Kukuljan, S. Sotiriadis, G. Takacs, “Correlation Functions of the Quantum Sine-Gordon Model in and out of Equilibrium”, Phys. Rev. Lett., 121:11 (2018)  crossref
    16. L. A. Takhtajan, A. Yu. Alekseev, I. Ya. Aref'eva, M. A. Semenov-Tian-Shansky, E. K. Sklyanin, F. A. Smirnov, S. L. Shatashvili, “Scientific heritage of L. D. Faddeev. Survey of papers”, Russian Math. Surveys, 72:6 (2017), 977–1081  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    17. Grzegorz Kwiatkowski, “Domain shape dependence of semiclassical corrections to energy”, J. Phys. A: Math. Theor., 50:30 (2017), 305202  crossref
    18. Diego Bombardelli, “S-matrices and integrability”, J. Phys. A: Math. Theor., 49:32 (2016), 323003  crossref
    19. I. Ya. Aref'eva, V. M. Buchstaber, E. P. Velikhov, A. B. Zhizhchenko, V. E. Zakharov, I. A. Ibragimov, S. V. Kislyakov, V. V. Kozlov, P. P. Kulish, L. N. Lipatov, V. P. Maslov, V. A. Matveev, S. P. Novikov, Yu. S. Osipov, A. M. Polyakov, V. A. Rubakov, M. A. Semenov-Tian-Shansky, Yu. A. Simonov, Ya. G. Sinai, A. A. Slavnov, I. A. Sokolov, L. A. Takhtadzhyan, V. E. Fortov, S. L. Shatashvili, “Ludvig Dmitrievich Faddeev (on his 80th birthday)”, Russian Math. Surveys, 69:6 (2014), 1133–1142  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    20. Kwiatkowski G. Leble S., “Quantum Corrections To Quasi-Periodic Solution of sine-Gordon Model and Periodic Solution of Phi(4) Model”, Physics and Mathematics of Nonlinear Phenomena 2013, Journal of Physics Conference Series, 482, IOP Publishing Ltd, 2014, 012023  crossref  isi
    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:1300
    Full-text PDF :636
    References:81
    First page:3
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025