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Korepin, Vladimir Korepin

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Korepin, Vladimir Korepin
NameVladimir Korepin
Birth date1946
Birth placeMoscow
FieldsMathematical physics, Quantum mechanics, Statistical mechanics
Alma materMoscow State University
Doctoral advisorLudwig Faddeev
Known forBethe ansatz, Integrable systems, Correlation functions

Korepin, Vladimir Korepin is a theoretical physicist and mathematician noted for contributions to integrable models, quantum field theory, and statistical mechanics. He has worked on exact solutions of one-dimensional systems, derivation of correlation functions, and applications of the Bethe ansatz to problems in condensed matter physics and quantum information. His career spans research, teaching, and authorship of influential monographs.

Early life and education

Born in Moscow in 1946, Korepin completed undergraduate and graduate studies at Moscow State University where he studied under Ludwig Faddeev. During his doctoral period he engaged with problems in mathematical physics and interacted with researchers from Landau Institute for Theoretical Physics and Steklov Institute of Mathematics. His formative years included exposure to work by Hans Bethe, Richard Feynman, and contemporary Soviet theorists.

Academic career and positions

Korepin held research positions at institutions including the Steklov Institute of Mathematics, the Landau Institute for Theoretical Physics, and later at universities in the United States such as SUNY Stony Brook and Iowa State University. He collaborated with scholars at Princeton University, Harvard University, and international centers like CERN and the Max Planck Institute for Physics. He served on editorial boards for journals associated with Institute of Physics and professional societies including the American Physical Society.

Research contributions and notable results

Korepin developed methods for computing exact correlation functions in integrable systems using extensions of the Bethe ansatz and the quantum inverse scattering method. He co-developed the algebraic Bethe ansatz techniques for models such as the Heisenberg model, the Hubbard model, and the sine-Gordon model. His work on determinants and form factors connected with the Fredholm determinant formalism influenced studies of quantum spin chains, Lieb-Liniger model, and applications to cold atom experiments. He derived results on entanglement entropy scaling in one-dimensional critical systems related to conformal field theory and the Yang–Baxter equation. Collaborations with figures like Faddeev, Korepin's coauthors and other theorists produced advances in understanding finite-size corrections, asymptotic analysis, and exactly solvable correlation kernels appearing in random matrix theory and statistical mechanics.

Awards and honors

Korepin received recognition from national and international bodies including honors associated with Russian Academy of Sciences affiliates and accolades from organizations such as the American Physical Society. He was invited to speak at major conferences like the International Congress on Mathematical Physics and the Les Houches Summer School and received fellowships and visiting appointments at institutions including Institut des Hautes Études Scientifiques and Institute for Advanced Study.

Selected publications and books

He authored and coauthored monographs and articles widely cited in theoretical physics and mathematics. Notable books include texts on the Bethe ansatz and integrable models that have been used alongside works by Faddeev, Korepin coauthors and others in course curricula at Moscow State University and Western universities. He published in journals such as Physical Review Letters, Journal of Statistical Physics, and Communications in Mathematical Physics.

Teaching and mentorship

Korepin supervised graduate students and postdoctoral researchers who went on to positions at institutions like MIT, Caltech, University of Cambridge, and Princeton University. He taught courses on quantum mechanics, statistical mechanics, and mathematical methods at universities including Moscow State University and Iowa State University, and delivered lectures at schools like Les Houches Summer School and Nordita.

Personal life and legacy

Korepin's legacy is reflected in the continued use of his methods in studies of quantum integrable systems, entanglement entropy, and applications to experiments in ultracold atoms and quantum information. His students and collaborators populate research groups across Europe, North America, and Asia, contributing to the ongoing development of mathematical physics. His work remains cited alongside foundational contributions by Bethe, Yang, Baxter, and Faddeev.

Category:Mathematical physicists Category:Russian physicists Category:1946 births