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

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10.1080/00268976.2010.508472

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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.\}",

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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 - https://www.scopus.com/pages/publications/78449307561

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

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