Published November 2006
| Version v1
Journal article
On one discrete three-particle Schroedinger operator in Hubbard model
Description
In the space L2(Tv x Tv ), where Tv is a v-dimensional torus, the spectral properties of the three-particle discrete Schroedinger operator H H0 + H1 + H2, where H0 is the operator of multiplication by a function and H1 and H2 are partial integral operators, are studied. Several theorems concerning the essential spectrum of H are proved. The discrete and essential spectra of the Hamiltonians Ht and h arising in the Hubbard model on the three-dimensional lattice are studied
Abstract (Russian)
В пространстве L2(Tv x Tv), где Tv - v-мерный тор, изучены спектральные свойства трехчастичного дискретного оператора Шредингера H = H0 + H1 + H2, где H0 - оператор умножения на функцию, H1, H2 - частичные интегральные операторы. Доказаны теоремы о существенном спектре оператора H. Изучены дискретный и существенный спектры гамильтонианов Ht и h, возникающих в модели Хаббарда на трехмерной решеткеAdditional details
Additional titles
- Original title (Russian)
- Об одном дискретном трехчастичном операторе Шредингера в модели Хаббарда
Publishing Information
- Journal Title
- Teoreticheskaya i Matematicheskaya Fizika
- Journal Volume
- 149
- Journal Issue
- 2
- Journal Page Range
- p. 228-243
- ISSN
- 0564-6162
- CODEN
- TMFZAL
INIS
- Country of Publication
- Russian Federation
- Country of Input or Organization
- Russian Federation
- INIS RN
- 39058859
- Subject category
- S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
- Descriptors DEI
- ANALYTICAL SOLUTION; HAMILTONIANS; HUBBARD MODEL; QUANTUM MECHANICS; SCHROEDINGER EQUATION; THREE-BODY PROBLEM; THREE-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- CRYSTAL MODELS; DIFFERENTIAL EQUATIONS; EQUATIONS; MANY-BODY PROBLEM; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; WAVE EQUATIONS
Optional Information
- Notes
- 9 refs.