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- Vladimir E. Korepin

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
62
Citations
21,896
274
World Ranking
325
National Ranking
182

1996 - Fellow of American Physical Society (APS) Citation For contributions to the understanding of strongly correlated electrons through the study of exactly solvable models

- Quantum mechanics
- Mathematical analysis
- Quantum field theory

His scientific interests lie mostly in Quantum mechanics, Mathematical physics, Bethe ansatz, Ground state and Hubbard model. Vladimir E. Korepin has included themes like Phase transition, Stochastic partial differential equation, Entropy, Automorphic function and Integral equation in his Mathematical physics study. His Bethe ansatz research is multidisciplinary, relying on both Lieb–Liniger model, Lattice and Algebraic number.

His research in Ground state intersects with topics in Quantum entanglement and String. His biological study spans a wide range of topics, including Electronic correlation, Hamiltonian, Critical exponent and Thermodynamic limit. His S-matrix research is multidisciplinary, relying on both Quantization, Quantum electrodynamics, Thirring model and Quantum inverse scattering method.

- Quantum Inverse Scattering Method and Correlation Functions (2082 citations)
- The one-dimensional Hubbard model (874 citations)
- Calculation of norms of Bethe wave functions (777 citations)

Vladimir E. Korepin mainly investigates Quantum mechanics, Mathematical physics, Ground state, Quantum entanglement and Quantum. Vladimir E. Korepin regularly ties together related areas like Lattice in his Quantum mechanics studies. His Mathematical physics research incorporates themes from Hubbard model, Hamiltonian and Quantum inverse scattering method.

His Hubbard model study combines topics from a wide range of disciplines, such as Quantum electrodynamics and Electron. Vladimir E. Korepin combines subjects such as Entropy, Rényi entropy, Spins, Density matrix and Eigenvalues and eigenvectors with his study of Quantum entanglement. He has researched Bethe ansatz in several fields, including Algebraic number and Thirring model.

- Quantum mechanics (40.76%)
- Mathematical physics (41.30%)
- Ground state (16.58%)

- Quantum mechanics (40.76%)
- Quantum entanglement (15.76%)
- Quantum (14.13%)

Vladimir E. Korepin mostly deals with Quantum mechanics, Quantum entanglement, Quantum, Ground state and Mathematical physics. Squashed entanglement, Spin-½, Von Neumann entropy, Bethe ansatz and Excited state are the primary areas of interest in his Quantum mechanics study. The concepts of his Quantum entanglement study are interwoven with issues in Rényi entropy, Spins, Density matrix, Hamiltonian and Eigenvalues and eigenvectors.

His work deals with themes such as Algorithm, Search algorithm and Statistical physics, which intersect with Quantum. His Ground state study which covers Spin model that intersects with Reflection symmetry and Symmetric matrix. The various areas that he examines in his Mathematical physics study include Chain, Conformal field theory, Fermion, Algebraic number and Topological quantum computer.

- Deformed Fredkin spin chain with extensive entanglement (38 citations)
- Negativity for two blocks in the one-dimensional spin-1 Affleck-Kennedy-Lieb-Tasaki model (37 citations)
- Entanglement Spectrum for the XY Model in One Dimension (32 citations)

- Quantum mechanics
- Mathematical analysis
- Quantum field theory

The scientist’s investigation covers issues in Quantum entanglement, Quantum mechanics, Ground state, Mathematical physics and Spins. His Quantum entanglement study combines topics in areas such as Density matrix, Hamiltonian, Eigenvalues and eigenvectors and Rényi entropy. He has included themes like Entropy, Superposition principle, Spin model, Von Neumann entropy and Statistical physics in his Ground state study.

His Mathematical physics research is multidisciplinary, incorporating perspectives in Fermion, Boson, Topological quantum computer and Conformal field theory. His research integrates issues of Schrödinger equation, Quantum inverse scattering method and Nonlinear system in his study of Boson. The Spins study which covers Combinatorics that intersects with Square lattice, Reversible computing and Thermodynamic limit.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Quantum Inverse Scattering Method and Correlation Functions

V. E. Korepin;A. G. Izergin;N. M. Bogoliubov.

arXiv: Condensed Matter **(1993)**

3491 Citations

Quantum Inverse Scattering Method and Correlation Functions

V. E. Korepin;N. M. Bogoliubov;A. G. Izergin.

**(1993)**

3075 Citations

The one-dimensional Hubbard model

Fabian H. L. Essler;Holger Frahm;Frank Göhmann;Andreas Klümper.

odhm **(2005)**

1266 Citations

Calculation of norms of Bethe wave functions

V. E. Korepin.

Communications in Mathematical Physics **(1982)**

819 Citations

Critical exponents for the one-dimensional Hubbard model

Holger Frahm;V. E. Korepin.

Physical Review B **(1990)**

654 Citations

Quantum Spin Chain, Toeplitz Determinants and Fisher-Hartwig Conjecture

V.E.Korepin.

arXiv: Quantum Physics **(2003)**

550 Citations

Quantum Spin Chain, Toeplitz Determinants and the Fisher—Hartwig Conjecture

B.-Q. Jin;V. E. Korepin.

Journal of Statistical Physics **(2004)**

490 Citations

Universality of entropy scaling in one dimensional gapless models.

V. E. Korepin.

Physical Review Letters **(2004)**

450 Citations

Differential Equations for Quantum Correlation Functions

A.R. Its;A.G. Izergin;V.E. Korepin;N.A. Slavnov.

International Journal of Modern Physics B **(1990)**

427 Citations

Quantum theory of solitons

L.D. Faddeev;V.E. Korepin.

Physics Reports **(1978)**

390 Citations

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