najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2017-8-3-310-316najo-600Research ArticleMATHEMATICSМАТЕМАТИКАFiniteness of discrete spectrum of the two-particle Schrodinger operator on diamond latticesFiniteness of discrete spectrum of the two-particle Schrodinger operator ¨ on diamond latticesMuminovM. I.

Department of Mathematic of Sciences, Faculty of Science

81310 UTM Johor Bahru, Johor

mukhiddin@utm.myUniversiti Teknologi MalaysiaMalaysia20171108202583310316Copyright © Muminov M.I., 20252025Muminov M.I.Muminov M.I.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/600

We consider a two-particle Schrodinger operator H on the d−dimensional diamond lattice. We find a sufficiency condition of finiteness for discrete spectrum eigenvalues of H.

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The authors declare that there are no conflicts of interest present.