The bose molecule in one dimension

Joseph P. Straley; Eugene B. Kolomeisky; Stephen C. Milne

doi:10.1023/B:JOSS.0000041749.74054.b9

The bose molecule in one dimension

Joseph P. Straley, Eugene B. Kolomeisky, Stephen C. Milne

Physics And Astronomy

Research output: Contribution to journal › Review article › peer-review

1 Scopus citations

Abstract

We give the Green function, momentum distribution, two-particle correlation function, and structure factor for the bound state of N indistinguishable bosons with an attractive delta-function interaction in one dimension, and an argument showing that this boson "molecule" has no excited states other than dissociation into separated pieces.

Original language	English
Pages (from-to)	1579-1596
Number of pages	18
Journal	Journal of Statistical Physics
Volume	116
Issue number	5-6
DOIs	https://doi.org/10.1023/B:JOSS.0000041749.74054.b9
State	Published - 2004

Bibliographical note

Funding Information:
This work was supported by the Thomas F. Jeffress and Kate Miller Jeffress Memorial Trust (EBK), the Chemical Sciences, Geosciences and Biosciences Division, Office of Basic Energy Sciences, U.S. Department of Energy (EBK), and by the Algebra, Number Theory, and Combinatorics Program, Division of Mathematical Sciences, National Science Foundation (SCM). We thank Susan Gardner for some useful observations.

Funding

This work was supported by the Thomas F. Jeffress and Kate Miller Jeffress Memorial Trust (EBK), the Chemical Sciences, Geosciences and Biosciences Division, Office of Basic Energy Sciences, U.S. Department of Energy (EBK), and by the Algebra, Number Theory, and Combinatorics Program, Division of Mathematical Sciences, National Science Foundation (SCM). We thank Susan Gardner for some useful observations.

Funders	Funder number
EBK
Office of Basic Energy Sciences
SCM
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China
U.S. Department of Energy Oak Ridge National Laboratory U.S. Department of Energy National Science Foundation National Energy Research Scientific Computing Center
Division of Mathematical Sciences
Thomas F. and Kate Miller Jeffress Memorial Trust
Chemical Sciences, Geosciences, and Biosciences Division

Keywords

Boson
Green function
Momentum distribution
One dimension
Pair distribution
Structure factor

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1023/B:JOSS.0000041749.74054.b9

Cite this

@article{73c9253b00064a8ea621a8d1af2418c4,

title = "The bose molecule in one dimension",

abstract = "We give the Green function, momentum distribution, two-particle correlation function, and structure factor for the bound state of N indistinguishable bosons with an attractive delta-function interaction in one dimension, and an argument showing that this boson {"}molecule{"} has no excited states other than dissociation into separated pieces.",

keywords = "Boson, Green function, Momentum distribution, One dimension, Pair distribution, Structure factor",

author = "Straley, \{Joseph P.\} and Kolomeisky, \{Eugene B.\} and Milne, \{Stephen C.\}",

note = "Funding Information: This work was supported by the Thomas F. Jeffress and Kate Miller Jeffress Memorial Trust (EBK), the Chemical Sciences, Geosciences and Biosciences Division, Office of Basic Energy Sciences, U.S. Department of Energy (EBK), and by the Algebra, Number Theory, and Combinatorics Program, Division of Mathematical Sciences, National Science Foundation (SCM). We thank Susan Gardner for some useful observations.",

year = "2004",

doi = "10.1023/B:JOSS.0000041749.74054.b9",

language = "English",

volume = "116",

pages = "1579--1596",

number = "5-6",

}

TY - JOUR

T1 - The bose molecule in one dimension

AU - Straley, Joseph P.

AU - Kolomeisky, Eugene B.

AU - Milne, Stephen C.

N1 - Funding Information: This work was supported by the Thomas F. Jeffress and Kate Miller Jeffress Memorial Trust (EBK), the Chemical Sciences, Geosciences and Biosciences Division, Office of Basic Energy Sciences, U.S. Department of Energy (EBK), and by the Algebra, Number Theory, and Combinatorics Program, Division of Mathematical Sciences, National Science Foundation (SCM). We thank Susan Gardner for some useful observations.

PY - 2004

Y1 - 2004

N2 - We give the Green function, momentum distribution, two-particle correlation function, and structure factor for the bound state of N indistinguishable bosons with an attractive delta-function interaction in one dimension, and an argument showing that this boson "molecule" has no excited states other than dissociation into separated pieces.

AB - We give the Green function, momentum distribution, two-particle correlation function, and structure factor for the bound state of N indistinguishable bosons with an attractive delta-function interaction in one dimension, and an argument showing that this boson "molecule" has no excited states other than dissociation into separated pieces.

KW - Boson

KW - Green function

KW - Momentum distribution

KW - One dimension

KW - Pair distribution

KW - Structure factor

UR - https://www.scopus.com/pages/publications/26844567908

UR - https://www.scopus.com/inward/citedby.url?scp=26844567908&partnerID=8YFLogxK

U2 - 10.1023/B:JOSS.0000041749.74054.b9

DO - 10.1023/B:JOSS.0000041749.74054.b9

M3 - Review article

AN - SCOPUS:26844567908

SN - 0022-4715

VL - 116

SP - 1579

EP - 1596

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 5-6

ER -

The bose molecule in one dimension

Abstract

Bibliographical note

Funding

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this