D-Index & Metrics Best Publications
Mathematics
Russia
2022

D-Index & Metrics 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.

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

Research.com Recognitions

Awards & Achievements

2022 - Research.com Mathematics in Russia Leader Award

Overview

What is he best known for?

The fields of study he is best known for:

  • 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.

His most cited work include:

  • 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)

What are the main themes of his work throughout his whole career to date?

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.

He most often published in these fields:

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

What were the highlights of his more recent work (between 2017-2021)?

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

In recent papers he was focusing on the following fields of study:

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.

Between 2017 and 2021, his most popular works were:

  • 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)

In his most recent research, the most cited papers focused on:

  • 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.

Best Publications

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

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