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

作者: Semenov-Tyan-Shanskiy M.A.¹^,2
隶属关系:
1. Sankt-St. Petersburg Department of the Mathematical Institute V.A. Steklov Russian Academy of Sciences
2. University of Burgundy
期: 卷 94, 编号 4 (2024)
页面: 366-377
栏目: Profiles
URL: https://journals.eco-vector.com/0869-5873/article/view/659682
DOI: https://doi.org/10.31857/S0869587324040066
EDN: https://elibrary.ru/GENQBY
ID: 659682

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详细

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.

关键词

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

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作者简介

M. Semenov-Tyan-Shanskiy

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

编辑信件的主要联系方式.
Email: semenov@pdmi.ras.ru

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

俄罗斯联邦, St. Petersburg; Dijon, France

参考

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.)