PANJARADAGI UCH ZARRACHALI SISTEMAGA MOS MODEL OPERATOR XOS FUNKSIYALARI UCHUN FADDEYEV TENGLAMASI VA UNING XARAKTERISTIK XOSSALARI
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Аннотация
В статье рассматривается модельный оператор соответствующей системы трех частиц на d мерной решетке. Построено уравнение Фаддеева для собственных функцийи изучены некоторые ее характеристические свойства.
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Библиографические ссылки
Heine V., Cohen M., Weaire D. The Pseudopotential Concept. Academic Press, New York–London, p. 558 (1970).
Albeverio S., Lakaev S.N., Muminov Z.I. On the structure of the essential spectrum for the
three-particle SchrЁodinger operators on lattices. Math. Nachr. 280:7 (2007), p. 699 – 716.
Lakaev S.N., Muminov M.E. Essential and discrete spectra of the three-particle Schroedinger
operator on a lattices. Theor. Math. Phys., 135:3 (2003), p. 849 – 871.
Lakaev S.N., Abdullaev J.I. The spectral properties of the three-particle difference Schroedinger
operator. Funct. Anal. Appl. 33:2 (1999), p. 84 – 88.
Rasulov T.Kh. Asymptotics of the discrete spectrum of a model operator associated with the
system of three particles on a lattice. Theor. Math. Phys., 163:1 (2010), р. 429 – 437.
Rasulov T.Kh. Essential spectrum of a model operator associated with a three particle system on
a lattice. Theor. Math. Phys., 166:1 (2011), p. 81 – 93.