GROUND STATE OF A ONE-DIMENSIONAL N-BODY SYSTEM

被引：532

作者：

CALOGERO, F

机构：

[1] Istituto di Fisica, Università di Roma, Istituto Nazionale di Fisica Nucleare Sezione di Roma, Rome

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1969年 / 10卷 / 12期

关键词：

D O I：

10.1063/1.1664821

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The problem of N quantum-mechanical equal particles interacting pairwise by inverse-cube forces (centrifugal potential") in addition to linear forces ("harmonical potential") is considered in a one-dimensional space. An explicit expression for the ground-state energy and for the corresponding wave-function is exhibited. A class of excited states is similarly displayed."

引用

页码：2197 / &

共 6 条

[1] SOLUTION OF A 3-BODY PROBLEM IN ONE DIMENSION
CALOGERO, F
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (12) : 2191 - &
[2] Gradshteyn I. S., 1965, TABLES INTEGRALS SER
[3] GRADSHTEYN IS, 1953, HIGHER TRANSCENDENTA, V2
[4] Landau L.D., 1963, QUANTUM MECH NONRELA, V3rd
[5] GENERALIZED UNCERTAINTY RELATIONS FOR MANY-FERMION SYSTEM
LEVYLEBLOND, JM
[J]. PHYSICS LETTERS A, 1968, A 26 (11) : 540 - +
[6] MANY-PARTICLE SYSTEMS - DERIVATION OF A SHELL MODEL
POST, HR
[J]. PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON SECTION A, 1953, 66 (403): : 649 - 652

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