Vladimir Korepin: Difference between revisions
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Study of differential equations for quantum correlation functions led to the discovery of a special class of Fredholm integral operators. Now they called completely integrable integral operators. They have multiple applications not only to quantum exactly solvable models, but also to random matrices and algebraic combinatorics. Completely integrable integral operators were discovered in the paper DIFFERENTIAL EQUATIONS FOR QUANTUM CORRELATION FUNCTIONS published in International Journal of Modern Physics vol B4, page 1003 in 1990 |
Study of differential equations for quantum correlation functions led to the discovery of a special class of Fredholm integral operators. Now they called completely integrable integral operators. They have multiple applications not only to quantum exactly solvable models, but also to random matrices and algebraic combinatorics. Completely integrable integral operators were discovered in the paper DIFFERENTIAL EQUATIONS FOR QUANTUM CORRELATION FUNCTIONS published in International Journal of Modern Physics vol B4, page 1003 in 1990 |
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==Conference== |
==Conference== |
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Revision as of 06:33, 31 October 2009
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Vladimir Korepin | |
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| Born | 6 February 1951 |
| Nationality | Russian- American |
| Alma mater | Saint Petersburg State University |
| Scientific career | |
| Fields | Physics, Mathematics |
| Institutions | State University of New York |
| Doctoral advisor | Ludwig Faddeev |
| Notable students | Samson Shatashvilli [1]; Fabian Essler [2]; Vitaly Tarasov [3] |
Introduction
Vladimir Korepin was born in 1951. He accomplished his undergraduate study in Saint Petersburg State University [1]. In 1974, he graduated from the University with the diploma in theoretical physics. In1974, he was employed by the Mathematical Institute of Academy of Sciences of Russia [4] . He accomplished his graduate and Post Doctoral studies in this Institute. He worked in this Institute until 1989. Currently, he is a full professor with tenure in the Yang Institute for Theoretical Physics [5] of State University of New York at Stony Brook. Vladimir obtained his Ph.D. degree in mathematical physics in 1977 from Mathematical Institute of the Academy of Sciences of the Russia in Moscow [6]. His scientific adviser was Ludwig Faddeev. In 1985, he got a degree of doctor of sciences in mathematical physics by the Council of Ministers of Russian Federation. Korepin published about 187 papers in theoretical and mathematical physics. His result in quantum gravity (cancellation of ultra-violet infinities in one loop gravity on mass shell ) was cited in the FEYNMAN LECTURES on GRAVITATION. by R.P. Feynman, R.B.Morinigo and W. G. Wagner. Edited by B. Hatfield with foreword by J. Preskill and K. S. Thorne. Addison-Wesley 1995, for more details see http://arxiv.org/abs/0905.2175.
Contributions to Physics
His papers on 1D Hubbard model [the central model of strongly correlated electrons has citations in condensed matter physics. He wrote a textbook with F.H.L. Essler, H.Frahm, F. Goehmann and A. Kluemper on exact solution of the Hubbard model in one dimension [7]. He also has important results in 1D Bose gas with delta interaction. Korepin wrote a book [with Bogoliubov and Izergin] for Cambridge University Press in 1993 about Bose gas with delta interaction [8]. The book also can be used as a text book on Quantum inverse scattering method and algebraic Bethe ansatz.
Contributions to Mathematics
In 1982, the domain wall boundary conditions was introduced for six vertex model [9],published in Communications in Mathematical Physics, vol 86 , page 191, 1982. It played an important role in algebraic combinatorics [ Alternating sign matrix, domino tiling, Young diagrams and plane partitions]. In the same paper the determinant formula was proved for the square of the norm of Bethe wave function. It can be represented as a determinant of linearized system of Bethe equations, it also can be represented as determinant of matrix of second derivatives of Yang action.
Quantum Determinant is discovered in 1981, see [2]. It is center of Yang-Baxter algebra.
Study of differential equations for quantum correlation functions led to the discovery of a special class of Fredholm integral operators. Now they called completely integrable integral operators. They have multiple applications not only to quantum exactly solvable models, but also to random matrices and algebraic combinatorics. Completely integrable integral operators were discovered in the paper DIFFERENTIAL EQUATIONS FOR QUANTUM CORRELATION FUNCTIONS published in International Journal of Modern Physics vol B4, page 1003 in 1990
Conference
In May of 2003, he organized a conference on Quantum and Reversible computations in Stony Brook. The conference web-page constitute Internet-proceedings of the conference.
Honours
In 1996 was elected fellow of American Physical Society.
He is an Editor of Reviews in Mathematical Physics,International Journal of Modern Physics and Theoretical and Mathematical Physics.
References
External links
