MATEMATIK ANALIZ VA MAT FIZIKA BO‘YICHA YETAKCHI MUTAXASSIS

profferssor image
 

BOG'LANISH

 

YUTUQLAR, MUKOFOTLAR

 

Ilmiy maqollarining 32 tasi SCOPUS va Web of Sciencs bazalariga kiritilgan, h-index - 7.

ABDULLAYEV JANIKUL IBRAGIMOVICH

Fizika-matematika fanlari doktori, professor Ehtimollar nazariyasi va amaliy matematika kafedrasi professori

 

Ilmiy tadqiqot yo‘nalishi:

 

Panjaradagi ikki va uch zarrachali Shryodinger operatorlarining muhim va diskret spektrini tahlil qilish.

Ilmiy tadqiqotlarining asosiy natijalari:

 

Natijalarining ilmiy ahamiyati shundan iboratki, o‘z-o‘ziga qo‘shma operatorlar spektral nazariyasida, elastiklik nazariyasi va qattiq jismlar fizikasida panjaradagi ikki va uch zarrachali sistemalarga mos Shryodinger operatorlarining spektrlari hamda xos qiymati mavjudligini ko‘rsatish bilan bog‘liq masalalarni hal etishda foydalanish mumkinligi bilan izohlanadi. Tadqiqot natijalarining amaliy ahamiyati olingan ilmiy natijalarning qattiq jismlar fizikasi, elastiklik nazariyasi va kvant mexanikasida eksperimental tadqiqotlar o‘tkazish va qo‘llashga nazariy asos sifatida xizmat qilishi bilan izohlanadi.

Asosiy ilmiy nashrlari:

 

1. О существовании собственных значений трехчастичного дискретного оператора Шрёдингера. Математические заметки. Том 114 выпуск 5 ноябрь 2023.
2. Инвариантные подпространства и собственные значения трехчастичного дискретного оператора Шрёдингера. Известия высших учебных заведений. Математика, 3-19. 2023.
3. Existence Condition for the Eigenvalue of a Three-Particle Schrödinger Operator on a Lattice. Известия высших учебных заведений. математика, 2023, Number 2, Pages 3–25.
4. The existence of eigenvalues of schrodinger operator on three dimensional lattice. Methods of Functional Analysis and Topology. 2022, 28(3), страницы 189–208.
5. Invariant Subspaces of the Shryodinger 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 three dimensional lattice. Lobachevskii Journal of Mathematics, 2022, Vol. 43, No. 12.
7. The Number of Eigenvalues of the Three-Particle Schrödinger Operator on 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 operatoron a lattice. Nanosystems: physics, chemistry, mathematics. 2021, 12 (6), P. 657–663.
9. Bound States of a System of Two Fermions on Invariant Subspace. Journal of Modern Physics, 2021, 12, 35-49.
10. The existence of eigenvalues of Schrödinger operator on a lattice in the gap of the essential spectrum. Journal of Physics.: Conf. Ser. 2070 012017. 2021