On the existence of arbitrary four-body (or quasi-four-body) molecules

M. A. Abdel-Raouf

doi:10.1007/BF01437061

On the existence of arbitrary four-body (or quasi-four-body) molecules

M. A. Abdel-Raouf

Department of Physics

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

4 Citations (Scopus)

Abstract

A theorem is proved which shows that the existence of H₂ and Ps₂ molecules is a sufficient condition for the existence of arbitrary four-body (or quasi-four-body) molecules. It is also shown that the bound-states of H₂ and Ps₂ are rigorous lower and upper bounds, respectively, for the exact energies of the bound-states of all other previously mentioned molecules. The consequences of the preceding theorem and corollary in astrophysics, solid state physics and quantum chemistry are briefly discussed.

Original language	English
Pages (from-to)	345-349
Number of pages	5
Journal	Zeitschrift für Physik D Atoms, Molecules and Clusters
Volume	6
Issue number	4
DOIs	https://doi.org/10.1007/BF01437061
Publication status	Published - Dec 1 1987

Keywords

11.00
21.10.D
31.10

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

Access to Document

10.1007/BF01437061

Cite this

@article{057f16a2ecf94118a58ede5c35fc21f0,

title = "On the existence of arbitrary four-body (or quasi-four-body) molecules",

abstract = "A theorem is proved which shows that the existence of H2 and Ps2 molecules is a sufficient condition for the existence of arbitrary four-body (or quasi-four-body) molecules. It is also shown that the bound-states of H2 and Ps2 are rigorous lower and upper bounds, respectively, for the exact energies of the bound-states of all other previously mentioned molecules. The consequences of the preceding theorem and corollary in astrophysics, solid state physics and quantum chemistry are briefly discussed.",

keywords = "11.00, 21.10.D, 31.10",

author = "Abdel-Raouf, {M. A.}",

year = "1987",

month = dec,

day = "1",

doi = "10.1007/BF01437061",

language = "English",

volume = "6",

pages = "345--349",

journal = "Zeitschrift f{\"u}r Physik D Atoms, Molecules and Clusters",

issn = "0178-7683",

publisher = "Springer New York",

number = "4",

}

TY - JOUR

T1 - On the existence of arbitrary four-body (or quasi-four-body) molecules

AU - Abdel-Raouf, M. A.

PY - 1987/12/1

Y1 - 1987/12/1

N2 - A theorem is proved which shows that the existence of H2 and Ps2 molecules is a sufficient condition for the existence of arbitrary four-body (or quasi-four-body) molecules. It is also shown that the bound-states of H2 and Ps2 are rigorous lower and upper bounds, respectively, for the exact energies of the bound-states of all other previously mentioned molecules. The consequences of the preceding theorem and corollary in astrophysics, solid state physics and quantum chemistry are briefly discussed.

AB - A theorem is proved which shows that the existence of H2 and Ps2 molecules is a sufficient condition for the existence of arbitrary four-body (or quasi-four-body) molecules. It is also shown that the bound-states of H2 and Ps2 are rigorous lower and upper bounds, respectively, for the exact energies of the bound-states of all other previously mentioned molecules. The consequences of the preceding theorem and corollary in astrophysics, solid state physics and quantum chemistry are briefly discussed.

KW - 11.00

KW - 21.10.D

KW - 31.10

UR - http://www.scopus.com/inward/record.url?scp=34250107495&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250107495&partnerID=8YFLogxK

U2 - 10.1007/BF01437061

DO - 10.1007/BF01437061

M3 - Article

AN - SCOPUS:34250107495

SN - 0178-7683

VL - 6

SP - 345

EP - 349

JO - Zeitschrift für Physik D Atoms, Molecules and Clusters

JF - Zeitschrift für Physik D Atoms, Molecules and Clusters

IS - 4

ER -

On the existence of arbitrary four-body (or quasi-four-body) molecules

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this