FINITENESS OF THE DISCRETE SPECTRUM IN THE QUANTUM n-PARTICLE PROBLEM

被引：29

作者：

Zhislin, G. M. ^{[1
]}

机构：

[1] Gorkov Sci Res Radiophys Inst, Moscow, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 1974年 / 21卷 / 01期

关键词：

D O I：

10.1007/BF01035594

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Sufficient conditions are found for the finiteness of the discrete spectrum of the energy operators of quantum many-particle systems in spaces of functions of given symmetry. These conditions enable one in many cases to reduce the problem of the finiteness of the discrete spectrum of the energy operator of a many-particle system to the analogous problem for a two-particle system.

引用

页码：971 / 980

页数：10

共 50 条

[31] Quantum teleportation of an unknown qubit by using N-particle entanglement
Jun, JW
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2004, 45 (02) : 281 - 286
[32] On antisymmetric quasimodes of the Schrödinger operator in the N-particle problem
A. E. Ruuge
Differential Equations, 2006, 42 : 576 - 585
[33] n-particle sector of field theory as a quantum open system
Anastopoulos, C
PHYSICAL REVIEW D, 1997, 56 (10): : 6702 - 6705
[34] Solvable models of interacting n-particle systems on quantum graphs
Bolte, Jens
Garforth, George
MATHEMATICAL PROBLEMS IN QUANTUM PHYSICS, 2018, 717 : 117 - 128
[35] Cluster properties in relativistic quantum mechanics of N-particle systems
Polyzou, WN
JOURNAL OF MATHEMATICAL PHYSICS, 2002, 43 (12) : 6024 - 6063
[36] BOUND-STATES AND RESONANCES OF N-PARTICLE DISCRETE SCHRODINGER OPERATOR
LAKAEV, SN
THEORETICAL AND MATHEMATICAL PHYSICS, 1992, 91 (01) : 362 - 372
[37] N-particle scattering matrix for electrons interacting on a quantum dot
Lebedev, A. V.
Lesovik, G. B.
Blatter, G.
PHYSICAL REVIEW LETTERS, 2008, 100 (22)
[38] Finiteness of the discrete spectrum of the three-particle schrödinger equation on a lattice
Zh. I. Abdullaev
S. N. Lakaev
Theoretical and Mathematical Physics, 1997, 111 : 467 - 479
[39] On finiteness of discrete spectrum of three-particle Schrödinger operator on a lattice
Muminov M.E.
Shermatova Y.M.
Russian Mathematics, 2016, 60 (1) : 22 - 29
[40] On the Finiteness of the Discrete Spectrum of a Four-Particle Lattice Schrödinger Operator
S. Albeverio
S. N. Lakaev
J. I. Abdullaev
Functional Analysis and Its Applications, 2002, 36 : 212 - 216

← 1 2 3 4 5 →