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Excited states of spherium

Date

Authors

Loos, Pierre-Francois

Gill, Peter

Publisher

Taylor & Francis Group

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

Keywords

Keywords: Analytic solution; Coulomb potential; cusp condition; Exact solution; Exactly solvable model; interdimensional degeneracies; Polynomial solution; spherium; Electric fields; Excited states; Quantum theory; Spheres; Polynomials cusp condition; exact solution; excited states; interdimensional degeneracies; spherium

URI

http://hdl.handle.net/1885/60812

Collections

ANU Research Publications

Source

Molecular Physics

Type

Journal article

DOI

10.1080/00268976.2010.508472

Restricted until

2037-12-31

Downloads

File

Description

01_Loos_Excited_states_of_sphe_2010.pdf (288.84 KB)