From quantum field theory to the quantum method the inverse problem 
On the 90th anniversary of the birth of academician L.D. Faddeev

M. A. Semenov-Tyan-Shanskiy; Семёнов-Тян-Шанский М. А.

doi:10.31857/S0869587324040066

From quantum field theory to the quantum method the inverse problem On the 90th anniversary of the birth of academician L.D. Faddeev

Authors: Semenov-Tyan-Shanskiy M.A.¹^,2
Affiliations:
1. Sankt-St. Petersburg Department of the Mathematical Institute V.A. Steklov Russian Academy of Sciences
2. University of Burgundy
Issue: Vol 94, No 4 (2024)
Pages: 366-377
Section: Profiles
URL: https://journals.rcsi.science/0869-5873/article/view/260927
DOI: https://doi.org/10.31857/S0869587324040066
EDN: https://elibrary.ru/GENQBY
ID: 260927

Cite item

Full Text

Open Access
Restricted Access

Access granted
Restricted Access

Subscription Access

Abstract

The article is dedicated to the life and work of a theoretical physicist and mathematician, a full member of the USSR Academy of Sciences and RAS L.D. Faddeev (1934−2017), the formation of his scientific school. Faddeev’s works on scattering theory, quantum field theory, classical and quantum theory of integrable systems were included in the golden fund of world science and largely determined the face of modern mathematical physics. The author of the article is an employee of the Laboratory of Mathematical Problems of Physics created by L.D. Faddeev at the St. Petersburg Department of the V.A. Steklov Mathematical Institute of the Russian Academy of Sciences since its foundation.

Keywords

L.D. Faddeev, scattering theory, quantum three−body problem, gauge fields, Yang-Miller theory, theory of integrable systems, quantum solitons, classical and quantum inverse problem method

Full Text

About the authors

M. A. Semenov-Tyan-Shanskiy

Sankt-St. Petersburg Department of the Mathematical Institute V.A. Steklov Russian Academy of Sciences; University of Burgundy

Author for correspondence.
Email: semenov@pdmi.ras.ru

доктор физико-математических наук, заведующий лабораторией математических проблем физики, почётный профессор

Russian Federation, St. Petersburg; Dijon, France

References

Фаддеев Л.Д. 30 лет в математической физике // Математическая физика и комплексный анализ. Сб. обзорных статей. Труды МИАН СССР. Т. 176. М.: Наука, 1987. С. 4‒29. Faddeev L.D. 30 years in mathematical physics // Mathematical physics and complex analysis. Collection of review articles. Proceedings of the MIAN USSR. V. 176. M.: Nauka, 1987. Р. 4-29. (In Russ.)
Фаддеев Л.Д. Моя жизнь среди квантовых полей // Вестник РАН. 2014. № 9. С. 797–804. Faddeev L.D. My life among quantum fields // Herald of the RAS. 2014. № 9. Р. 797−804. (In Russ.)
Фаддеев Л.Д. Новая жизнь полной интегрируемости // УФН. 2013. Т. 183. № 5. С. 487−495. Faddeev L.D. A new life of complete integrability // Physics−Uspekhi. 2013. V. 56. № 5. Р. 465−472.
Тахтаджян Л.А., Алексеев А.Ю., Арефьева И.Я. и др. Научное наследие Л.Д. Фаддеева. Обзор работ // УМН. 2017. Т. 72. Вып. 6(438). С. 3–112. https://doi.org/10.4213/rm9799 Takhtajan L.A., Alekseev A.Yu., Aref’eva I.Ya. et al. Scientific heritage of L. D. Faddeev. Survey of papers // Russian Mathematical Surveys. 2017. V. 72. Is. 6. P. 977–1081.
Semenov-Tian-Shansky М. Some personal historic notes on our seminar. L.D. Faddeev’s Seminar on Mathematical Physics // Advances in Math. Sciences. V. 49 / M. Semenov-Tian-Shansky, ed. American Mathematical Society Translations. Ser. 2. V. 201. AMS, Providence, R.I., 2000. Р. 1–8.
Interview with Professor L.D. Faddeev conducted by M. Semenov-Tian-Shansky // EMS Newsl. 2007. V. 64. Р. 31–37.
Aref’eva I, Semenov-Tian-Shansky M.A., Takhtajan L.A. Ludwig Faddeev (1934–2017) – His Work and Legacy // EMS Newsl. 2017. V. 104. Р. 35–40.
Семёнов-Тян-Шанский М.А. О нашем учителе // Природа. 2017. № 5. С. 77‒85. Semenov-Tian-Shansky M.A. About our teacher // Priroda. 2017. № 5. Р. 77−85. (In Russ.)