Published August 2003
| Version v1
Journal article
Asymptotics of the discrete spectrum of the three-particle difference Schroedinger operator on lattice
Creators
- 1. Samarkandskij Gosudarstvennyj Univ., Samarkand (Uzbekistan)
Description
The Hμ(K) Hamiltonian of the system of three bosons, interacting through the pair contact attraction potentials, is considered on the three-dimensional integral lattice. The asymptotics for the N(K, z) number of Eigen values below the z≤0 operator Hμ0(K) by the total quasipulse and spectral parameter is obtained
Abstract (Russian)
На трехмерной целочисленной решетке рассматривается гамильтониан Hμ(K) системы трех бозонов, взаимодействующих с помощью парных потенциалов притяжения. Получена асимптотика для числа N(K, z) собственных значений, лежащих ниже z≤0 оператора Hμ0(K) по полному квазиимпульсу и спектральному параметруAdditional details
Additional titles
- Original title (Russian)
- Асимптотика дискретного спектра разностного трехчастичного оператора Шредингера на решетке
Publishing Information
- Journal Title
- Teoreticheskaya i Matematicheskaya Fizika
- Journal Volume
- 136
- Journal Issue
- 2
- Journal Page Range
- p. 231-245
- ISSN
- 0564-6162
- CODEN
- TMFZAL
INIS
- Country of Publication
- Russian Federation
- Country of Input or Organization
- Russian Federation
- INIS RN
- 36079460
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ASYMPTOTIC SOLUTIONS; ATTRACTORS; BOSONS; EIGENVALUES; HAMILTONIANS; LATTICE FIELD THEORY; PAIRING INTERACTIONS; SCHROEDINGER EQUATION; THREE-BODY PROBLEM; THREE-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- CONSTRUCTIVE FIELD THEORY; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; INTERACTIONS; MANY-BODY PROBLEM; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; WAVE EQUATIONS
Optional Information
- Notes
- 16 refs.