Algebraic treatment of three-body problems

R. Bijker; A. Leviatan

doi:10.1007/s006010050096

Algebraic treatment of three-body problems

R. Bijker^*, A. Leviatan

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

We discuss an algebraic treatment of three-body systems in terms of a U(7) spectrum-generating algebra. In particular, we develop the formalism for nonlinear configurations and present an algebraic description of vibrational and rotational excitations of symmetric (X₃) and asymmetric tops (XY₂ and XYZ). The relevant point-group symmetry is incorporated exactly.

Original language	English
Pages (from-to)	89-100
Number of pages	12
Journal	Few-Body Systems
Volume	25
Issue number	1-3
DOIs	https://doi.org/10.1007/s006010050096
State	Published - 1998

Access to Document

10.1007/s006010050096

Cite this

@article{a962fc3a05b942fc8a0fc6d17c848733,

title = "Algebraic treatment of three-body problems",

abstract = "We discuss an algebraic treatment of three-body systems in terms of a U(7) spectrum-generating algebra. In particular, we develop the formalism for nonlinear configurations and present an algebraic description of vibrational and rotational excitations of symmetric (X3) and asymmetric tops (XY2 and XYZ). The relevant point-group symmetry is incorporated exactly.",

author = "R. Bijker and A. Leviatan",

year = "1998",

doi = "10.1007/s006010050096",

language = "אנגלית",

volume = "25",

pages = "89--100",

journal = "Few-Body Systems",

issn = "0177-7963",

publisher = "Springer-Verlag Wien",

number = "1-3",

}

TY - JOUR

T1 - Algebraic treatment of three-body problems

AU - Bijker, R.

AU - Leviatan, A.

PY - 1998

Y1 - 1998

N2 - We discuss an algebraic treatment of three-body systems in terms of a U(7) spectrum-generating algebra. In particular, we develop the formalism for nonlinear configurations and present an algebraic description of vibrational and rotational excitations of symmetric (X3) and asymmetric tops (XY2 and XYZ). The relevant point-group symmetry is incorporated exactly.

AB - We discuss an algebraic treatment of three-body systems in terms of a U(7) spectrum-generating algebra. In particular, we develop the formalism for nonlinear configurations and present an algebraic description of vibrational and rotational excitations of symmetric (X3) and asymmetric tops (XY2 and XYZ). The relevant point-group symmetry is incorporated exactly.

UR - http://www.scopus.com/inward/record.url?scp=0009565534&partnerID=8YFLogxK

U2 - 10.1007/s006010050096

DO - 10.1007/s006010050096

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0009565534

SN - 0177-7963

VL - 25

SP - 89

EP - 100

JO - Few-Body Systems

JF - Few-Body Systems

IS - 1-3

ER -

Algebraic treatment of three-body problems

Abstract

Access to Document

Other files and links

Fingerprint

Cite this