ASYMPTOTIC BEHAVIOR OF EIGENFUNCTIONS OF THE THREE-PARTICLE SCHRODINGER OPERATOR. II. CHARGED ONE-DIMENSIONAL PARTICLES

被引：6

作者：

Buslaev, V. S. ^{[1
]}

Levin, S. B. ^{[1
]}

机构：

[1] St Petersburg State Univ, Dept Phys, St Petersburg 198504, Russia

来源：

ST PETERSBURG MATHEMATICAL JOURNAL | 2011年 / 22卷 / 03期

关键词：

Quantum scattering; three-particle scattering; Coulomb interaction; one-dimensional particles;

D O I：

10.1090/S1061-0022-2011-01147-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A system of three one-dimensional quantum particles with Coulomb pairwise interaction is treated. A scattered plane wave type asymptotic description at infinity in the configuration space of generalized eigenfunctions is obtained. Though remaining at a heuristic level, the constructions of the paper may serve as a basis for rigorous proofs of the results.

引用

页码：379 / 392

页数：14

共 43 条

[1] Spectrum of the three-particle Schrodinger operator on a one-dimensional lattice
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[2] On Expansions in the Exact and Asymptotic Eigenfunctions of the One-Dimensional Schrodinger Operator
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[3] Asymtotic of the Discrete Spectrum of the Three-Particle Schrodinger Operator on a One-Dimensional Lattice
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[4] New approach to numerical computation of the eigenfunctions of the continuous spectrum of three-particle Schrodinger operator: I. One-dimensional particles, short-range pair potentials
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[6] Spectrum of the three-particle Schrödinger operator on a one-dimensional lattice
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Theoretical and Mathematical Physics, 2012, 171 : 754 - 768
[7] The Number of Eigenvalues of the Three-Particle Schrodinger Operator on Three Dimensional Lattice
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[8] Uniform asymptotics of eigenfunctions for the three-body Schrodinger operator in one-dimensional case
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QUANTUM FEW-BODY SYSTEMS, 2008, 998 : 101 - +
[9] Asymtotic of the Discrete Spectrum of the Three-Particle Schrödinger Operator on a One-Dimensional Lattice
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Lobachevskii Journal of Mathematics, 2023, 44 : 491 - 501
[10] On Expansions in the Exact and Asymptotic Eigenfunctions of the One-Dimensional Schrödinger Operator
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A. A. Shkalikov
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