Pyotr Petrovich Kulish

from Wikipedia, the free encyclopedia

Pyotr Petrovich Kulisch ( Russian Петр Петрович Кулиш , English transcription Petr Kulish ; * February 24, 1944 , † 2016 ) was a Russian mathematical physicist and professor in Saint Petersburg .

Life

Kulisch received his doctorate in 1971 under Ludwig Faddejew at the University of Leningrad ( Asymptotic Conditions and Infrared Divergenies in the Quantum Field Theory ). He was a doctor of phys.-math. Sciences, professor, chief scientist and director of the laboratory for mathematical problems of physics at the St. Petersburg Steklow Institute .

At Faddejew, he initially dealt with the mathematical treatment of the infrared problem in quantum electrodynamics. He also deals with precisely integrable systems in quantum mechanics (with applications in solid state physics, quantum optics) and quantum field theory and the underlying algebraic structures (such as quantum groups). Among other things, he dealt with the non-linear Schrödinger equation, the quantum inverse scattering method, precisely integrable systems in superconforming field theories (Super KdV hierarchies), the connection between the Yang-Baxter equation and reflection groups, quantum deformed Minkowski space and the general use of quantum algebras for the construction of non-commutative space- Times.

Among other things, he was at the Yukawa Institute at Kyoto University.

Fonts

  • with Faddejew: Asymptotic conditions and infrared divergences in quantum electrodynamics, Theoretical and mathematical physics Vol. 4, 1970, p. 745
  • with EA Sklyanin: Quantum inverse scattering methods and the Heisenberg ferromagnet, Phys. Lett. A, Vol. 70, 1979, pp. 461-463
  • with EK Sklyanin: O (N) invariant nonlinear Schrödinger equation- a new completely integrable system, Phys. Lett. A, Vol. 84, 1981, pp. 349-352
  • with EK Sklyanin: Quantum spectral transform method. Recent developments, in Integrable Quantum Field Theories, Tvarmine 1981, Lecture Notes in Physics 151, Springer, 1981, pp. 61-119
  • with N. Yu. Reshetikhin: Quantum linear problem for the sine-Gordon equation and higher representations, Journal of Mathematical Sciences, Volume 23, 1983, pp. 2435-2441
  • with N. Yu. Reshetikhin: Gl3-invariant solutions of the Yang-Baxter equation and associated quantum systems, Journal of Mathematical Sciences, Volume 46, 1989, pp. 1948-1971
  • with Reshetikhin, Sklyanin: Yang-Baxter equation and representation theory 1, Lett. Math. Phys., Vol. 5, 1981, pp. 393-403
  • Classical and quantum inverse problem method and generalized Bethe ansatz, Physica D, Volume 3, 1981, pp. 246-257
  • Editor: Proc. Euler Internat. Math. Institute on Quantum Groups (St. Petersburg), Lecture Notes in Mathematics 1510, Springer 1992
  • Quantum groups and dynamical systems, Vistas in Astronomy, Volume 37, 1993, pp. 67-76
  • with EK Sklyanin: Algebraic structures related to reflection groups, J. Phys. A, Vol. 25, 1992, p. 5963, Arxiv
  • with JA de Azcarraga, F. Rodenas: On the physical contents of q-deformed Minkowski space, Phys. Lett., B, Vol. 351, 1995, pp. 123-130
  • Yang-Baxter equation and reflection equations in integrable models, Schladming Lectures 1995, Arxiv
  • with JA de Azcarraga, F. Rodenas: Quantum groups and deformed special relativity, Progress of Physics, Volume 44, 1996, pp. 1-40
  • with Anton Zeitlin: Superconformal field theory and the SUSY N = 1 KdV-Hierarchy, Part 1: Vertex operators and Yang-Baxter equation, Phys. Lett. B, Volume 597, 2004, pp. 229-236, Arxiv , Part 2: Q-Operator, Nuclear Physics B, Volume 709, 2005, pp. 578-591, Arxiv
  • with A. Zeitlin: Integrable Structure of Superconformal Field Theory and Quantum super-KdV Theory, Phys. Lett. B, 581,2004, pp. 125-132, Arxiv
  • Quantum inverse scattering method and (super) conformal field theory, Theor. Math. Phys., Vol. 142, 2005, pp. 211-221, Arxiv
  • Editor with Nenad Manojlovic, Henning Samtleben: Infinite dimensional algebras and quantum integrable systems, Int. Conf. Math. Phys., Faro, Portugal 2003, Birkhäuser 2005

literature

  • NM Bogolyubov, EV Damaskinsky: Kulish, Petr Petrovich (Russian), in: Questions of Quantum Field Theory and Statistical Physics, Part 18, Zap. Nauchn. Sem. POMI, 317, POMI (Steklov Inst.), St. Petersburg, 2004, pp. 7-10, pdf

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
personal data
SURNAME Kulisch, Pyotr Petrovich
ALTERNATIVE NAMES Kulish, Petr; Кулиш, Петр Петрович (Russian)
BRIEF DESCRIPTION Russian mathematical physicist
DATE OF BIRTH February 24, 1944
DATE OF DEATH 2016