Excited states of spherium

Pierre Francois Loos; Peter M.W. Gill

doi:10.1080/00268976.2010.508472

Excited states of spherium

Pierre Francois Loos, Peter M.W. Gill

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

34 Citations (Scopus)

Abstract

We report analytic solutions of a recently discovered quasi-exactly solvable model consisting of two electrons, interacting via a Coulomb potential, but restricted to remain on the surface of a D-dimensional sphere. Polynomial solutions are found for the ground state, and for some higher (L ≤ 3) states. Kato cusp conditions and interdimensional degeneracies are discussed.

Original language	English
Pages (from-to)	2527-2532
Number of pages	6
Journal	Molecular Physics
Volume	108
Issue number	19-20
DOIs	https://doi.org/10.1080/00268976.2010.508472
Publication status	Published - 10 Oct 2010

Access to Document

10.1080/00268976.2010.508472

Cite this

@article{3b3e24bb92dc4613957a25b454d07bf2,

title = "Excited states of spherium",

abstract = "We report analytic solutions of a recently discovered quasi-exactly solvable model consisting of two electrons, interacting via a Coulomb potential, but restricted to remain on the surface of a D-dimensional sphere. Polynomial solutions are found for the ground state, and for some higher (L ≤ 3) states. Kato cusp conditions and interdimensional degeneracies are discussed.",

keywords = "cusp condition, exact solution, excited states, interdimensional degeneracies, spherium",

author = "Loos, {Pierre Francois} and Gill, {Peter M.W.}",

year = "2010",

month = oct,

day = "10",

doi = "10.1080/00268976.2010.508472",

language = "English",

volume = "108",

pages = "2527--2532",

journal = "Molecular Physics",

issn = "0026-8976",

publisher = "Taylor and Francis Ltd.",

number = "19-20",

}

TY - JOUR

T1 - Excited states of spherium

AU - Loos, Pierre Francois

AU - Gill, Peter M.W.

PY - 2010/10/10

Y1 - 2010/10/10

N2 - We report analytic solutions of a recently discovered quasi-exactly solvable model consisting of two electrons, interacting via a Coulomb potential, but restricted to remain on the surface of a D-dimensional sphere. Polynomial solutions are found for the ground state, and for some higher (L ≤ 3) states. Kato cusp conditions and interdimensional degeneracies are discussed.

AB - We report analytic solutions of a recently discovered quasi-exactly solvable model consisting of two electrons, interacting via a Coulomb potential, but restricted to remain on the surface of a D-dimensional sphere. Polynomial solutions are found for the ground state, and for some higher (L ≤ 3) states. Kato cusp conditions and interdimensional degeneracies are discussed.

KW - cusp condition

KW - exact solution

KW - excited states

KW - interdimensional degeneracies

KW - spherium

UR - http://www.scopus.com/inward/record.url?scp=78449307561&partnerID=8YFLogxK

U2 - 10.1080/00268976.2010.508472

DO - 10.1080/00268976.2010.508472

M3 - Article

SN - 0026-8976

VL - 108

SP - 2527

EP - 2532

JO - Molecular Physics

JF - Molecular Physics

IS - 19-20

ER -

Excited states of spherium

Abstract

Access to Document

Other files and links

Fingerprint

Cite this