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- Anton Zabrodin

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
38
Citations
5,540
125
World Ranking
1588
National Ranking
16

- Mathematical analysis
- Quantum mechanics
- Algebra

His primary scientific interests are in Integrable system, Mathematical physics, Pure mathematics, Quantum mechanics and Mathematical analysis. His primary area of study in Integrable system is in the field of Bethe ansatz. His work on Toda lattice as part of general Mathematical physics research is frequently linked to Bilinear interpolation, bridging the gap between disciplines.

His Pure mathematics research incorporates elements of Conformal map and Hamiltonian matrix, Pascal matrix. In general Quantum mechanics, his work in Random matrix, Principal quantum number, Magnetic quantum number and Bloch equations is often linked to Bloch sphere linking many areas of study. His Differential equation research integrates issues from Discretization and Eigenvalues and eigenvectors.

- Quantum Integrable Models and Discrete Classical Hirota Equations (278 citations)
- Integrable structure of interface dynamics (255 citations)
- Integrable structure of interface dynamics (255 citations)

Anton Zabrodin spends much of his time researching Mathematical physics, Integrable system, Quantum, Pure mathematics and Mathematical analysis. Anton Zabrodin combines subjects such as Trigonometry and Eigenvalues and eigenvectors, Quantum mechanics with his study of Mathematical physics. The Integrable system study combines topics in areas such as Soliton, Differential equation and Spin-½.

His study in the field of Quantization also crosses realms of Connection. His Pure mathematics research incorporates themes from Conformal map and Limit. The Mathematical analysis study which covers Function that intersects with Motion and Dynamics.

- Mathematical physics (69.61%)
- Integrable system (52.45%)
- Quantum (44.12%)

- Mathematical physics (69.61%)
- Equations of motion (17.65%)
- Trigonometry (23.04%)

His scientific interests lie mostly in Mathematical physics, Equations of motion, Trigonometry, Integrable system and Hierarchy. His work in the fields of Mathematical physics, such as Bethe ansatz, overlaps with other areas such as Duality. His study focuses on the intersection of Equations of motion and fields such as Dynamics with connections in the field of Function, Motion and Mathematical analysis.

His Trigonometry study combines topics from a wide range of disciplines, such as Laplacian matrix and Ansatz. In his study, Periodic boundary conditions is inextricably linked to Type, which falls within the broad field of Integrable system. His research in Pure mathematics intersects with topics in Conformal map, Hodograph and Partial differential equation.

- Elliptic solutions to integrable nonlinear equations and many-body systems (14 citations)
- Elliptic solutions to integrable nonlinear equations and many-body systems (14 citations)
- Supersymmetric extension of qKZ-Ruijsenaars correspondence (8 citations)

- Mathematical analysis
- Quantum mechanics
- Algebra

Anton Zabrodin mainly investigates Equations of motion, Mathematical physics, Function, Dynamics and Mathematical analysis. His Equations of motion research is multidisciplinary, incorporating elements of Trigonometry and Wave equation. He has included themes like Hamiltonian, Linear combination and Pure mathematics in his Trigonometry study.

His work on Ansatz as part of general Mathematical physics study is frequently connected to Duality, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. His study in Function is interdisciplinary in nature, drawing from both Motion, Representation and Linear problem, Nonlinear system. His Dynamics study incorporates themes from Partial derivative and Integrable system.

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 Integrable Models and Discrete Classical Hirota Equations

I. Krichever;O. Lipan;P. Wiegmann;A. Zabrodin.

Communications in Mathematical Physics **(1997)**

295 Citations

Quantum integrable systems and elliptic solutions of classical discrete nonlinear equations

I. Krichever;O. Lipan;P. Wiegmann;A. Zabrodin.

Communications in Mathematical Physics **(1997)**

289 Citations

Integrable structure of interface dynamics

Mark Mineev-Weinstein;Paul B. Wiegmann;Paul B. Wiegmann;Anton Zabrodin;Anton Zabrodin.

Physical Review Letters **(2000)**

288 Citations

Conformal Maps and Integrable Hierarchies

P. B. Wiegmann;A. Zabrodin.

Communications in Mathematical Physics **(2000)**

263 Citations

Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra

I. Krichever;A. Zabrodin.

Russian Mathematical Surveys **(1995)**

221 Citations

Towards unified theory of 2d gravity

S. Kharchev;A. Marshakov;A. Mironov;A. Morozov.

Nuclear Physics **(1992)**

200 Citations

Total cross section measurement for the three double pion photoproduction channels on the proton

A Braghieri;L.Y Murphy;J Ahrens;G Audit.

Physics Letters B **(1995)**

198 Citations

Bethe-ansatz for the Bloch electron in magnetic field.

P. B. Wiegmann;A. V. Zabrodin.

Physical Review Letters **(1994)**

175 Citations

Supersymmetric Bethe ansatz and Baxter equations from discrete Hirota dynamics

Vladimir Kazakov;Alexander Savelievich Sorin;Anton Zabrodin.

Nuclear Physics **(2008)**

170 Citations

Large-N expansion for the 2D Dyson gas

A Zabrodin;P Wiegmann;P Wiegmann.

Journal of Physics A **(2006)**

152 Citations

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