- Home
- Best Scientists - Mathematics
- Nikita Andreevich Slavnov

Mathematics

Russia

2022

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
43
Citations
5,703
141
World Ranking
1175
National Ranking
12

2022 - Research.com Mathematics in Russia Leader Award

- Quantum mechanics
- Mathematical analysis
- Algebra

Nikita Andreevich Slavnov mostly deals with Mathematical physics, Bethe ansatz, Multiple integral, Spin-½ and Quantum mechanics. In his research, Nikita Andreevich Slavnov performs multidisciplinary study on Mathematical physics and Heisenberg model. Integrable system covers Nikita Andreevich Slavnov research in Bethe ansatz.

In his study, Quantum algorithm, Quantum operation, Quantum dynamics, Quantum process and Quantum probability is strongly linked to Mathematical analysis, which falls under the umbrella field of Spin-½. His study looks at the relationship between Quantum mechanics and topics such as Integral equation, which overlap with Linear differential equation, Partial differential equation and Stochastic partial differential equation. The various areas that he examines in his Algebraic number study include Correlation function and Scalar.

- Differential Equations for Quantum Correlation Functions (391 citations)
- Spin spin correlation functions of the XXZ - 1/2 Heisenberg chain in a magnetic field (173 citations)
- Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions (171 citations)

Nikita Andreevich Slavnov mainly investigates Mathematical physics, Bethe ansatz, Integrable system, Algebraic number and Quantum. His research integrates issues of R-matrix and Mathematical analysis, Multiple integral in his study of Mathematical physics. His Bethe ansatz study is related to the wider topic of Quantum mechanics.

His Integrable system research incorporates themes from Yangian, Invariant, Algebra and Monodromy matrix. His Algebraic number study combines topics from a wide range of disciplines, such as Lattice and Invariant. His Quantum research is multidisciplinary, relying on both Nonlinear Schrödinger equation, Correlation function, Type, Algebra over a field and Integral equation.

- Mathematical physics (57.80%)
- Bethe ansatz (51.45%)
- Integrable system (47.98%)

- Bethe ansatz (51.45%)
- Algebraic number (38.73%)
- Scalar (21.39%)

Bethe ansatz, Algebraic number, Scalar, Mathematical physics and Integrable system are his primary areas of study. His work in Scalar tackles topics such as Monodromy matrix which are related to areas like Monodromy. Mathematical physics and Twist are two areas of study in which Nikita Andreevich Slavnov engages in interdisciplinary work.

His Integrable system research is multidisciplinary, incorporating elements of Quantum and Yangian. His Quantum research includes themes of Mathematical proof and Invariant. His work in Pure mathematics addresses issues such as Trace, which are connected to fields such as Representation.

- On Bethe vectors in ( \mathfrak{g}{\mathfrak{l}}_3 )-invariant integrable models (29 citations)
- Norm of Bethe vectors in models with gl(m|n) symmetry (17 citations)
- Algebraic Bethe ansatz (14 citations)

- Quantum mechanics
- Mathematical analysis
- Algebra

His scientific interests lie mostly in Bethe ansatz, Algebraic number, Mathematical physics, Integrable system and Quantum. The study incorporates disciplines such as Spin chain and Spin-½ in addition to Bethe ansatz. His Spin-½ study integrates concerns from other disciplines, such as Basis, Wronskian and Yang–Baxter equation.

His Algebraic number research integrates issues from Norm, Invariant, Scalar, Center and Eigenvalues and eigenvectors. His Norm research incorporates elements of Pure mathematics and Periodic boundary conditions. His research in Eigenvalues and eigenvectors intersects with topics in Hamiltonian and Jacobian matrix and determinant.

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.

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

Spin spin correlation functions of the XXZ - 1/2 Heisenberg chain in a magnetic field

N. Kitanine;J.M. Maillet;N.A. Slavnov;V. Terras.

Nuclear Physics **(2002)**

187 Citations

Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions

N Kitanine;K K Kozlowski;J M Maillet;N A Slavnov.

Journal of Statistical Mechanics: Theory and Experiment **(2009)**

181 Citations

One-particle dynamical correlations in the one-dimensional Bose gas

Jean-Sébastien Caux;Pasquale Calabrese;Nikita A Slavnov.

Journal of Statistical Mechanics: Theory and Experiment **(2007)**

180 Citations

Form factor approach to the asymptotic behavior of correlation functions in critical models

N. Kitanine;K. K. Kozlowski;J. M. Maillet;N. A. Slavnov.

arXiv: High Energy Physics - Theory **(2011)**

164 Citations

Temperature correlations of quantum spins.

Alexandr Its;Anatloij Izergin;Vladimr Korepin;Nikita Slavnov.

Physical Review Letters **(1993)**

160 Citations

Form factor approach to dynamical correlation functions in critical models

N Kitanine;K K Kozlowski;J M Maillet;N A Slavnov.

Journal of Statistical Mechanics: Theory and Experiment **(2012)**

148 Citations

A form factor approach to the asymptotic behavior of correlation functions in critical models

N Kitanine;K K Kozlowski;J M Maillet;N A Slavnov.

Journal of Statistical Mechanics: Theory and Experiment **(2011)**

138 Citations

Emptiness formation probability of the XXZ spin-1/2 Heisenberg chain at Delta=1/2

N. Kitanine;J.M. Maillet;N.A. Slavnov;V. Terras.

arXiv: High Energy Physics - Theory **(2002)**

131 Citations

Nonequal-time current correlation function in a one-dimensional Bose gas

N. A. Slavnov.

Theoretical and Mathematical Physics **(1990)**

124 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Centre national de la recherche scientifique, CNRS

Stony Brook University

Indiana University – Purdue University Indianapolis

International School for Advanced Studies

Skolkovo Institute of Science and Technology

School for Advanced Studies in the Social Sciences

University of Southern California

Friedrich Miescher Institute

University of Edinburgh

Baylor College of Medicine

Arizona State University

University of Oxford

Central Drug Research Institute

Cranfield University

Geophysical Fluid Dynamics Laboratory

National Center for Atmospheric Research

Vrije Universiteit Amsterdam

University of Southern California

University of Manchester

University of Edinburgh

University of Melbourne

Something went wrong. Please try again later.