LEADING SPECIALIST IN MATHEMATICAL ANALYSIS AND MATHEMATICAL PHYSICS.

profferssor image
 

CONNECTION

 

ACHIEVEMENTS,  AWARDS

 

32 of his scientific articles are included in SCOPUS and Web of Science databases, with an h-index of 7.

ABDULLAYEV JANIKUL IBRAGIMOVICH

Doctor of Physical and Mathematical Sciences, Professor of the Department of Probability Theory and Applied Mathematics.

 

Scientific research focus:

 

Analysis of the essential and discrete spectra of the two- and three-particle Schrödinger operators on a lattice.

Key results of the scientific research:

 

The scientific significance of the results lies in their application to problems related to spectral theory of self-adjoint operators, elasticity theory, and solid-state physics, specifically in demonstrating the existence of spectra and eigenvalues for Schrödinger operators corresponding to two- and three-particle systems on a lattice. The practical importance of the research results is explained by their potential to serve as a theoretical basis for experimental investigations and applications in solid-state physics, elasticity theory, and quantum mechanics

Key scientific publications:

 

1.On the Existence of Eigenvalues of the Three-Particle Discrete Schrödinger Operator. Mathematical Notes, Vol. 114, Issue 5, November 2023.

2. Invariant Subspaces and Eigenvalues of the Three-Particle Discrete Schrödinger Operator. Reports of Higher Educational Institutions. Mathematics, pp. 3-19, 2023.

3. Existence Condition for the Eigenvalue of a Three-Particle Schrödinger Operator on a Lattice. Reports of Higher Educational Institutions. Mathematics, 2023, Number 2, Pages 3–25.

4.The Existence of Eigenvalues of the Schrödinger Operator on a Three-Dimensional Lattice. Methods of Functional Analysis and Topology, 2022, Vol. 28, No. 3, pp. 189–208.

5.Invariant Subspaces of the Schrödinger Operator with a Finite Support Potential. Lobachevskii Journal of Mathematics, 2022, SCOPUS Vol. 43, No. 3, pp. 1481–1490.

6.The Number of Eigenvalues of the Three-Particle Schrödinger Operator on a Three-Dimensional Lattice. Lobachevskii Journal of Mathematics, 2022, Vol. 43, No. 12.

7.The Number of Eigenvalues of the Three-Particle Schrödinger Operator on a Three-Dimensional Lattice. Lobachevskii Journal of Mathematics, 2022, Vol. 43, No. 12, pp. 3486–3495.

8.Monotonicity of the Eigenvalues of the Two-Particle Schrödinger Operator on a Lattice. Nanosystems: Physics, Chemistry, Mathematics, 2021, Vol. 12, No. 6, pp. 657–663.

9.Bound States of a System of Two Fermions on Invariant Subspace. Journal of Modern Physics, 2021, Vol. 12, pp. 35-49.

10.The Existence of Eigenvalues of the Schrödinger Operator on a Lattice in the Gap of the Essential Spectrum. Journal of Physics: Conference Series, 2021, Vol. 2070, Article 012017.